Journal of Biological Systems Short Title: J. Biol. Syst. Publisher: World Scientific, Singapore ISSN: 0218-3390; 1793-6470/e Online: https://www.worldscientific.com/loi/jbs Comments: Journal Documents Indexed: 734 Publications (since 1997) References Indexed: 685 Publications with 23,211 References. all top 5 Latest Issues 32, No. 1 (2024) 31, No. 4 (2023) 31, No. 3 (2023) 31, No. 2 (2023) 31, No. 1 (2023) 30, No. 4 (2022) 30, No. 3 (2022) 30, No. 2 (2022) 30, No. 1 (2022) 29, No. 4 (2021) 29, No. 3 (2021) 29, No. 2 (2021) 29, No. 1 (2021) 28, No. 4 (2020) 28, No. 3 (2020) 28, No. 2 (2020) 28, No. 1 (2020) 27, No. 4 (2019) 27, No. 3 (2019) 27, No. 2 (2019) 27, No. 1 (2019) 26, No. 4 (2018) 26, No. 3 (2018) 26, No. 2 (2018) 26, No. 1 (2018) 25, No. 4 (2017) 25, No. 3 (2017) 25, No. 2 (2017) 25, No. 1 (2017) 24, No. 4 (2016) 24, No. 2-3 (2016) 24, No. 1 (2016) 23, No. 4 (2015) 23, No. 3 (2015) 23, No. 2 (2015) 23, No. 1 (2015) 23, Suppl. 1 (2015) 22, No. 4 (2014) 22, No. 3 (2014) 22, No. 2 (2014) 22, No. 1 (2014) 21, No. 4 (2013) 21, No. 3 (2013) 21, No. 2 (2013) 21, No. 1 (2013) 20, No. 4 (2012) 20, No. 3 (2012) 20, No. 2 (2012) 20, No. 1 (2012) 19, No. 4 (2011) 19, No. 3 (2011) 19, No. 2 (2011) 19, No. 1 (2011) 18, No. 4 (2010) 18, No. 3 (2010) 18, No. 2 (2010) 18, No. 1 (2010) 18, Spec. Issue (2010) 17, No. 4 (2009) 17, No. 3 (2009) 17, No. 2 (2009) 17, No. 1 (2009) 16, No. 4 (2008) 16, No. 3 (2008) 16, No. 2 (2008) 16, No. 1 (2008) 15, No. 4 (2007) 15, No. 3 (2007) 15, No. 2 (2007) 15, No. 1 (2007) 14, No. 4 (2006) 14, No. 3 (2006) 14, No. 2 (2006) 14, No. 1 (2006) 13, No. 4 (2005) 13, No. 3 (2005) 13, No. 2 (2005) 13, No. 1 (2005) 12, No. 4 (2004) 12, No. 3 (2004) 12, No. 2 (2004) 12, No. 1 (2004) 11, No. 4 (2003) 11, No. 3 (2003) 11, No. 2 (2003) 11, No. 1 (2003) 10, No. 4 (2002) 10, No. 3 (2002) 10, No. 2 (2002) 10, No. 1 (2002) 8, No. 4 (2000) 8, No. 3 (2000) 6, No. 1 (1998) 5, No. 4 (1997) 5, No. 3 (1997) 5, No. 2 (1997) 5, No. 1 (1997) all top 5 Authors 17 Chattopadhyay, Joydev 16 Tiwari, Pankaj Kumar 13 Misra, Arvind Kumar 12 Chen, Lansun 10 Dubey, Balram 10 Jin, Zhen 10 Martcheva, Maia 9 Venturino, Ezio 8 Jang, Sophia R.-J. 8 Kar, Tapan Kumar 8 Mukherjee, Debasis 8 Pal, Samaresh 7 Dougherty, Edward R. 7 Gakkhar, Sunita 7 Lenhart, Suzanne M. 7 Lou, Jie 6 Auger, Pierre M. 6 Chandra, Peeyush 6 Garira, Winston S. 6 Kumar Upadhyay, Ranjit 6 Lerner, Vladimir S. 6 Nyabadza, Farai 6 Samanta, Sudip 6 Yang, Hyun Mo 5 Banerjee, Sandip 5 Bhunu, Claver Pedzisai 5 Das, Prasenjit 5 Feng, Tianquan 5 Foryś, Urszula 5 Ghosh, Uttam 5 Gumel, Abba B. 5 Liu, Bing 5 Lungu, Edward M. 5 Moussaoui, Ali 5 Nyeo, Su-Long 5 Samanta, Guru Prasad 5 Sun, Guiquan 5 Sun, Shulin 5 Tchuenche, Jean Michel 5 Zhou, Tianshou 4 Adimy, Mostafa 4 Bhattacharyya, Rakhi 4 Dubey, Uma S. 4 Fu, Xinchu 4 Ghosh, Mini 4 Kang, Yun 4 Li, Xuezhi 4 Ma, Fei 4 Magombedze, Gesham 4 Maiti, Alakes 4 Mukhopadhyay, Banibrata 4 Mushayabasa, Steady 4 Pei, Yongzhen 4 Ray, Santanu 4 Sarkar, Ashis Kumar 4 Xu, Jianxin 3 Agusto, Folashade B. 3 Agyingi, Ephraim O. 3 Barradas, Ignacio 3 Bittner, Michael L. 3 Bona, Francesca 3 Bulai, Iulia Martina 3 Chakrabarty, Siddhartha Pratim 3 Chakraborty, Kunal 3 Chatterjee, Samrat 3 Chen, Aimin 3 Córdova-Lepe, Fernando 3 Elaiw, Ahmed M. 3 Esteva, Lourdes 3 Feng, Zhilan 3 Ferreira, Cláudia Pio 3 Frank, Till Daniel 3 Georgescu, Paul 3 Greenhalgh, David 3 Hritonenko, Natali 3 Kumar Roy, Priti 3 Kundu, Kusumika 3 Li-Ling, Jesse 3 Li, Li 3 Li, Xuefang 3 Liu, Xinzhi 3 Ma, Zhien 3 Majumder, Durjoy 3 Massad, Eduardo 3 Mikler, Armin R. 3 Monteiro, Luiz Henrique Alves 3 Ngonghala, Calistus N. 3 Okosun, Kazeem Oare 3 Pappas, Janice L. 3 Pilyugin, Sergei S. 3 Piqueira, José Roberto Castilho 3 Podder, Chandra Nath 3 Robledo, Gonzalo 3 Ross, David Stuart 3 Sahani, Saroj Kumar 3 Sharma, Anupama 3 Srivastava, Prashant Kr. 3 Tandon, Abhinav 3 Tang, I Ming 3 Teng, Zhi-dong ...and 1,334 more Authors all top 5 Fields 720 Biology and other natural sciences (92-XX) 183 Ordinary differential equations (34-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 45 Partial differential equations (35-XX) 42 Probability theory and stochastic processes (60-XX) 39 Numerical analysis (65-XX) 36 Systems theory; control (93-XX) 33 Dynamical systems and ergodic theory (37-XX) 25 Statistics (62-XX) 11 Computer science (68-XX) 9 Fluid mechanics (76-XX) 7 Difference and functional equations (39-XX) 5 General and overarching topics; collections (00-XX) 4 Information and communication theory, circuits (94-XX) 3 Combinatorics (05-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Category theory; homological algebra (18-XX) 2 Integral equations (45-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Quantum theory (81-XX) 1 Mathematical logic and foundations (03-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 466 Publications have been cited 2,896 times in 2,364 Documents Cited by ▼ Year ▼ The effects of impulsive toxicant input on a population in a polluted environment. Zbl 1041.92044 Liu, Bing; Chen, Lansun; Zhang, Yujuang 90 2003 Positive and negative circuits in dynamical systems. Zbl 1058.37537 Gouzé, Jean-Luc 69 1998 Necessary conditions for multistationarity and stable periodicity. Zbl 0982.92001 Snoussi, El Houssine 62 1998 Effect of awareness programs in controlling the prevalence of an epidemic with time delay. Zbl 1228.92067 Misra, A. K.; Sharma, Anupama; Singh, Vishal 55 2011 Survival analysis of a stochastic cooperation system in a polluted environment. Zbl 1228.92074 Liu, Meng; Wang, Ke 39 2011 Modeling and analysis of an SEIR model with different types of nonlinear treatment rates. Zbl 1342.92235 Dubey, B.; Patra, Atasi; Srivastava, P. K.; Dubey, Uma S. 33 2013 A minimal model for ecoepidemics with group defense. Zbl 1382.92229 Venturino, Ezio 33 2011 Optimal control of mixed immunotherapy and chemotherapy of tumors. Zbl 1147.92020 de Pillis, L. G.; Fister, K. R.; Gu, W.; Head, Tiffany; Maples, Kenny; Neal, Todd; Murugan, Anand; Kozai, Kenji 32 2008 Deterministic and stochastic analysis of a nonlinear prey-predator system. Zbl 1054.92044 Bandyopadhyay, Malay; Chakrabarti, C. G. 31 2003 Modeling the drug therapy for HIV infection. Zbl 1342.92103 Srivastava, P. K.; Banerjee, M.; Chandra, Peeyush 31 2009 Persistence and global stability of a population in a polluted environment with delay. Zbl 1099.92074 Mukherjee, Debasis 29 2002 Threshold and stability result for an SIRS epidemic model with a general periodic vaccination strategy. Zbl 1069.92022 Moneim, I. A.; Greenhalgh, D. 28 2005 Adaptive dynamics in a 2-patch environment: A toy model for allopatric and parapatric speciation. Zbl 0970.92502 Meszéna, Géza; Czibula, István; Geritz, Stefan 28 1997 Analysis of a cell-cycle specific model for cancer chemotherapy. Zbl 1099.92035 Ledzewicz, Urszula; Schättler, Heinz 26 2002 Spatial pattern in an epidemic system with cross-diffusion of the susceptible. Zbl 1364.92053 Sun, Gui-Quan; Jin, Zhen; Liu, Quan-Xing; Li, Li 25 2009 Biological delay systems and the Mikhailov criterion of stability. Zbl 1101.92001 Foryś, Urszula 24 2004 Global dynamics of a multi-group epidemic model with general relapse distribution and nonlinear incidence rate. Zbl 1279.92083 Wang, Jinliang; Zu, Jian; Liu, Xianning; Huang, Gang; Zhang, Jimin 24 2012 Analysis of an HIV/AIDS model with public-health information campaigns and individual withdrawal. Zbl 1342.92269 Nyabadza, Farai; Chiyaka, Christinah; Mukandavire, Zindoga; Hove-Musekwa, Senelani D. 24 2010 Qualitative assessment of the role of temperature variations on malaria transmission dynamics. Zbl 1343.92455 Agusto, F. B.; Gumel, A. B.; Parham, P. E. 24 2015 A resource dependent fishery model with optimal harvesting policy. Zbl 1109.92313 Dubey, Balram; Chandra, Peeyush; Sinha, Prawal 24 2002 Cross-diffusion-driven pattern formation and selection in a modified Leslie-Gower predator-prey model with fear effect. Zbl 1445.92239 Han, Renji; Guin, Lakshmi Narayan; Dai, Binxiang 24 2020 Modeling seasonality in avian influenza H5N1. Zbl 1342.92285 Tuncer, Necibe; Martcheva, Maia 23 2013 Anti-tumor immunity and tumor anti-immunity in a mathematical model of tumor immunotherapy. Zbl 1099.92033 Foryś, Urszula; Waniewski, Jacek; Zhivkov, Petar 21 2006 Monthly periodic outbreak of hemorrhagic fever with renal syndrome in China. Zbl 1360.92101 Li, Li 21 2016 Dynamical analysis of a allelopathic phytoplankton model. Zbl 1105.92035 Bandyopadhyay, Malay 20 2006 Modeling the impact of awareness created by media campaigns on vaccination coverage in a variable population. Zbl 1343.92519 Sharma, Anupama; Misra, A. K. 19 2014 The effect of impulsive spraying pesticide on stage-structured population models with birth pulse. Zbl 1125.92320 Liu, Bing; Teng, Zhidong; Chen, Lansun 19 2005 The effects of vaccination and treatment on the spread of HIV/AIDS. Zbl 1074.92030 Kgosimore, M.; Lungu, E. M. 19 2004 Three types of simple DDEs describing tumor growth. Zbl 1151.92015 Bodnar, Marek; Foryś, Urszula 17 2007 Toxin-allelopathy among phytoplankton species prevents competitive exclusion. Zbl 1124.92054 Roy, Shovonlal; Chattopadhyay, Joydev 17 2007 An epidemic model structured by host immunity. Zbl 1105.92032 Martcheva, Maia; Pilyugin, Sergei S. 17 2006 Nutrient-phytoplankton-zooplankton dynamics in the presence of additional food source – a mathematical study. Zbl 1364.92058 Chakraborty, Subhendu; Chattopadhyay, Joydev 17 2008 Receptor-based models with diffusion-driven instability for pattern formation in hydra. Zbl 1041.92002 Marciniak-Czochra, Anna 17 2003 Impulsive control strategies for pest management. Zbl 1279.92058 Zhang, Hong; Chen, Lansun; Georgescu, Paul 17 2007 Discrete-maturity structured model of cell differentiation with applications to acute myelogenous leukimia. Zbl 1155.92019 Adimy, Mostafa; Crauste, Fabien; El Abdllaoui, Abderrahim 16 2008 Assessing the effects of temperature and dengue virus load on dengue transmission. Zbl 1343.92471 Esteva, Lourdes; Yang, Hyun Mo 16 2015 Avian flu: modeling and implications for control. Zbl 1343.92497 Martcheva, Maia 16 2014 The role of additional food in a predator-prey model with a prey refuge. Zbl 1350.92044 Samanta, Sudip; Dhar, Rikhiya; Elmojtaba, Ibrahim M.; Chattopadhyay, Joydev 15 2016 Modeling and analysis of the spread of carrier dependent infectious diseases with environmental effects. Zbl 1041.92035 Singh, Shikha; Chandra, Peeyush; Shukla, J. B. 15 2003 On a food web consisting of a specialist and a generalist predator. Zbl 1041.92041 Gakkhar, S.; Naji, R. K. 15 2003 Regulation of a prey-predator fishery by taxation: a dynamic reaction model. Zbl 1074.91035 Kar, T. K.; Chaudhuri, K. S. 15 2003 Asymptotic behavior of a stochastic delayed chemostat model with nutrient storage. Zbl 1409.92272 Sun, Shulin; Zhang, Xiaofeng 15 2018 Mathematical analysis of the transmission dynamics of schistosomiasis in the human-snail hosts. Zbl 1342.92230 Chiyaka, Edward T.; Garira, Winston 15 2009 A ratio-dependent predator-prey model with delay and harvesting. Zbl 1342.92193 Misra, A. K.; Dubey, B. 15 2010 HIV/AIDS model for assessing the effects of prophylactic sterilizing vaccines, condoms and treatment with amelioration. Zbl 1116.92042 Mukandavire, Z.; Garira, W. 15 2006 Immunotherapy of HIV-1 infection. Zbl 0982.92015 Kirschner, Denise E.; Webb, G. F. 15 1998 A nonautonomous model for the interactive effects of fear, refuge and additional food in a prey-predator system. Zbl 1469.92096 Sk, Nazmul; Tiwari, Pankaj Kumar; Kang, Yun; Pal, Samares 15 2021 Can Markov chain models mimic biological regulation? Zbl 1113.92309 Kim, Seungchan; Li, Huai; Dougherty, Edward R.; Cao, Nanwei; Chen, Yidong; Bittner, Michael; Suh, Edward B. 14 2002 Controllability of a harvested prey-predator system with time delay. Zbl 1105.92040 Kar, T. K.; Matsuda, H. 14 2006 Modeling the impact of rehabilitation, amelioration and relapse on the prevalence of drug epidemics. Zbl 1285.92021 Njagarah, Hatson John Boscoh; Nyabadza, Farai 14 2013 Bistability analysis of an HIV model with immune response. Zbl 1397.92410 Wang, Shaoli; Xu, Fei; Rong, Libin 14 2017 Case detection and direct observation therapy strategy (DOTS) in Nigeria: its effect on the TB dynamics. Zbl 1149.92019 Okuonghae, Daniel; Aihie, Vincent 13 2008 Serotype replacement of vertically transmitted diseases through perfect vaccination. Zbl 1146.92023 Thomasey, Douglas H.; Martcheva, Maia 13 2008 Proper predation makes the system disease free – conclusion drawn from an eco-epidemiological model. Zbl 1122.92056 Chatterjee, Samrat; Bandyopadhyay, M.; Chattopadhyay, J. 13 2006 Persistence in a prey-predator system with disease in the prey. Zbl 1041.92034 Mukherjee, Debasis 13 2003 A mathematical model on ctl mediated control of HIV infection in a long-term drug therapy. Zbl 1342.92102 Roy, Priti Kumar; Chowdhury, Sonia; Chatterjee, Amar Nath; Chattopadhyay, Joydev; Norman, Rachel 13 2013 Bistability and long-term cure in a within-host model of hepatitis C. Zbl 1382.92177 Debroy, Swati; Bolker, Benjamin M.; Martcheva, Maia 13 2011 Critical contact rate for vector-host-pathogen oscillation involving co-feeding and diapause. Zbl 1397.92702 Zhang, Xue; Wu, Xiaotian; Wu, Jianhong 13 2017 A strategy of optimal efficacy of T11 target structure in the treatment of brain tumor. Zbl 1418.92057 Khajanchi, Subhas; Banerjee, Sandip 13 2019 Control of stationary behavior in probabilistic Boolean networks by means of structural intervention. Zbl 1099.92003 Shmulevich, Ilya; Dougherty, Edward R.; Zhang, Wei 12 2002 Study of a carrier dependent infectious disease – cholera. Zbl 1100.92052 Das, Prasenjit; Mukherjee, Debasis; Sarkar, A. K. 12 2005 Modeling the transmission dynamics of dairy cattle brucellosis in Jilin province, China. Zbl 1302.92134 Nie, Jing; Sun, Gui-Quan; Sun, Xiang-Dong; Zhang, Juan; Wang, Nan; Wang, You-Ming; Shen, Chao-Jian; Huang, Bao-Xu; Jin, Zhen 12 2014 Pattern selection in an epidemic model with self and cross diffusion. Zbl 1404.92206 Wang, Weiming; Lin, Yezhi; Wang, Hailing; Liu, Houye; Tan, Yongji 12 2011 Modeling cholera disease with education and chlorination. Zbl 1342.92222 Al-Arydah, Mo’tassem; Mwasa, Abubakar; Tchuenche, Jean M.; Smith, Robert J. 12 2013 Chaos in a nonautonomous model for the interactions of prey and predator with effect of water level fluctuation. Zbl 1460.92178 Sarkar, Abhijit; Tiwari, Pankaj Kumar; Bona, Francesca; Pal, Samares 12 2020 On optimal chemotherapy for heterogeneous tumors. Zbl 1343.92232 Ledzewicz, Urszula; Schättler, Heinz 11 2014 Effect of parasitic infection in the Leslie-Gower predator-prey model. Zbl 1155.92041 Haque, Mainul; Venturino, Ezio 11 2008 A predator-pest model with Allee effect and pest culling and additional food provision to the predator – application to pest control. Zbl 1373.92112 Sasmal, Sourav Kumar; Mandal, Dibyendu Sekhar; Chattopadhyay, Joydev 11 2017 Spatial aspect of hunting cooperation in predators with Holling type II functional response. Zbl 1415.92161 Singh, Teekam; Banerjee, Sandip 11 2018 Permanence in general non-autonomous Lotka-Volterra predator-prey systems with distributed delays and impulses. Zbl 1342.92195 Muhammadhaji, Ahmadjan; Teng, Zhidong; Zhang, Long 11 2013 Stability and bifurcation analysis of a discrete prey-predator model with square-root functional response and optimal harvesting. Zbl 1445.92234 Chakraborty, Prabir; Ghosh, Uttam; Sarkar, Susmita 11 2020 Bifurcation analysis of a two-dimensional predator-prey model with Holling type IV functional response and nonlinear predator harvesting. Zbl 1460.92167 Ghosh, Uttam; Majumdar, Prahlad; Ghosh, Jayanta Kumar 11 2020 Analysis of avian influenza A (H7N9) model based on the low pathogenicity in poultry. Zbl 1376.92064 Guo, Shu-Min; Wang, Juan; Ghosh, Mini; Li, Xue-Zhi 10 2017 Modelling and analysis of the spread of malaria: environmental and ecological effects. Zbl 1073.92049 Singh, Shikha; Shukla, J. B.; Chandra, Peeyush 10 2005 Bang-bang, impulse, and sustainable harvesting in age-structured populations. Zbl 1279.92074 Hritonenko, N.; Yatsenko, Yu. 10 2012 A new mathematical model for optimal control strategies of integrated pest management. Zbl 1279.92053 Meng, Xinzhu; Song, Zhitao; Chen, Lansun 10 2007 Information modeling of neuronal dynamics. Zbl 1124.91361 Lerner, Vladimir S. 10 2003 A delay nonautonomous predator-prey model for the effects of fear, refuge and hunting cooperation. Zbl 1482.92083 Tiwari, Pankaj Kumar; Verma, Maitri; Pal, Soumitra; Kang, Yun; Misra, Arvind Kumar 10 2021 The spatial patterns through diffusion-driven instability in modified Leslie-Gower and Holling-type II predator-prey model. Zbl 1404.92162 Sun, G.; Sarwardi, S.; Pal, P. J.; Rahman, Md. S. 10 2010 Optimal control of the spread of malaria superinfectivity. Zbl 1342.92221 Agusto, Folashade; Lenhart, Suzanne 10 2013 An optimal control model for ebola virus disease. Zbl 1343.92509 Njankou, Sylvie Diane Djiomba; Nyabadza, Farai 10 2016 Global properties for a virus dynamics model with lytic and non-lytic immune responses, and nonlinear immune attack rates. Zbl 1302.92057 Vargas-De-León, Cruz 10 2014 A mathematical model to study the effect of toxic chemicals on a prey-predator type fishery. Zbl 1100.92066 Ghosh, Mini; Chandra, Peeyush; Sinha, Prawal 10 2002 A mathematical model for combating HIV/AIDS in Southern Africa: will multiple strategies work? Zbl 1116.92055 Nyabadza, Farai 10 2006 On the optimal vaccination strategies for horizontally and vertically transmitted infectious diseases. Zbl 1229.92058 Buonomo, Bruno 10 2011 Second order schemes for age-structured population equations. Zbl 0977.92506 Abia, L. M.; López-Marcos, J. C. 10 1997 Modeling infectious diseases using global stochastic cellular automata. Zbl 1100.92055 Mikler, Armin R.; Venkatachalam, Sangeeta; Abbas, Kaja 9 2005 The influence of heavy alcohol consumption on HIV infection and progression. Zbl 1342.92115 Thomas, G.; Lungu, E. M. 9 2009 Bifurcation analysis of a detritus-based ecosystem with time delay. Zbl 1009.92036 Mukherjee, Debasis; Ray, Santanu; Sinha, Dilip Kumar 9 2000 Dynamic analysis of a Holling I predator-prey system with mutual interference concerning pest control. Zbl 1073.92061 Zhang, Yujuan; Xu, Zhilong; Liu, Bing; Chen, Lansun 9 2005 Management of a prey-predator fishery based on continuous fishing effort. Zbl 1124.91355 Kar, T. K.; Pahari, U. K.; Chaudhuri, K. S. 9 2004 Prostitution and drug (alcohol) misuse: the menacing combination. Zbl 1279.92070 Bhunu, C. P.; Mushayabasa, S. 9 2012 Does a larger carrying capacity for an exotic species allow environment invasion? Some considerations on the competition of red and grey squirrels. Zbl 1279.92072 Gosso, A.; La Morgia, V.; Marchisio, P.; Telve, O.; Venturino, E. 9 2012 A mathematical model for Ebola epidemic with self-protection measures. Zbl 1409.92226 Berge, T.; Chapwanya, M.; Lubuma, J. M.-S.; Terefe, Y. A. 9 2018 Dynamical analysis of a continuous-culture and harvest chemostat model with impulsive effect. Zbl 1343.92302 Zhang, Tongqian; Ma, Wanbiao; Meng, Xinzhu 9 2015 Modeling and optimal control for antiretroviral therapy. Zbl 1343.92222 Grigorieva, Ellina V.; Khailov, Evgenii N.; Bondarenko, Natalia V.; Korobeinikov, Andrei 9 2014 A model of the optimal immunotherapy of psoriasis by introducing IL-10 and IL-22 inhibitors. Zbl 1451.92173 Roy, Priti Kumar; Roy, Amit Kumar; Khailov, Evgenii N.; Al Basir, Fahad; Grigorieva, Ellina V. 9 2020 Bifurcation and chaos in a discrete predator-prey model with Holling type-III functional response and harvesting effect. Zbl 1469.92095 Singh, Anuraj; Deolia, Preeti 9 2021 Role of migratory birds under environmental fluctuation – a mathematical study. Zbl 1148.92030 Chatterjee, Samrat; Pal, S.; Chattopadhyay, J. 8 2008 Modeling the infection dynamics of onchocerciasis and its treatment. Zbl 1376.92068 Omondi, Evans Otieno; Nyabadza, Farai; Bonyah, Ebenezer; Badu, Kingsley 8 2017 Stability and bifurcation in a predator-prey model with prey refuge. Zbl 1519.92188 Chen, Wenchang; Yu, Hengguo; Dai, Chuanjun; Guo, Qing; Liu, He; Zhao, Min 3 2023 Chaotic dynamics of a stage-structured prey-predator system with hunting cooperation and fear in presence of two discrete delays. Zbl 1519.92208 Pal, Soumitra; Gupta, Ashvini; Misra, Arvind Kumar; Dubey, Balram 3 2023 Two-fold impacts of fear in a seasonally forced predator-prey system with Cosner functional response. Zbl 1519.92181 Barman, Dipesh; Roy, Subarna; Tiwari, Pankaj Kumar; Alam, Shariful 2 2023 Allee effect in a Ricker type discrete-time predator-prey model with Holling type-II functional response. Zbl 1519.92192 El-Metwally, H.; Khan, A. Q.; Hamada, M. Y. 2 2023 Modeling the effects of insecticides on crop production in the presence of insect population. Zbl 1512.92143 Misra, Arvind Kumar; Yadav, Akash 1 2023 Bistability, generalized and zero-Hopf bifurcations in a pest control model with farming awareness. Zbl 1512.92138 Al Basir, Fahad; Samanta, Sudip; Tiwari, Pankaj Kumar 1 2023 Bistability and tristability in a predator-prey model with strong Allee effect in prey. Zbl 1517.92012 Kumbhakar, Ruma; Pal, Saheb; Pal, Nikhil; Tiwari, Pankaj Kumar 1 2023 A continuous spatial and temporal mathematical model for assessing the distribution of dengue in Brazil with control. Zbl 1519.92248 dos Santos, Fernando Luiz Pio; Bendahmane, Mostafa; Erraji, Elmahdi; Karami, Fahd 1 2023 Optimal treatment strategies using dendritic cell vaccination for a tumor model with parameter identifiability. Zbl 1519.92099 Khajanchi, Subhas; Mondal, Jayanta; Tiwari, Pankaj Kumar 1 2023 Crossing the desert: a model for alien species invasion containment or to lessen habitat disruption effects. Zbl 1519.92182 Bellavere, Elena; Venturino, Ezio 1 2023 Dynamical behavior of a stochastic food chain chemostat model with variable yields. Zbl 1519.92131 Liu, Xiaojuan; Sun, Shulin 1 2023 The behavior of a class host-parasitoid models with host refuge and strong Allee effect upon the host population. Zbl 1530.92178 Kalabušić, S.; Pilav, E. 1 2023 Bifurcation analysis of an allelopathic phytoplankton model. Zbl 1530.92174 Chen, Shangming; Chen, Fengde; Li, Zhong; Chen, Lijuan 1 2023 Maximum sustainable yield for a fishery with variable price. Zbl 1536.91239 Moulai-Khatir, Anes; Moussaoui, Ali; Auger, Pierre 1 2023 Optimal placement of marine protected areas to avoid the extinction of the fish stock. Zbl 1493.92096 Ghouali, Amel; Moussaoui, Ali; Auger, Pierre; Huu, Tri Nguyen 5 2022 Global dynamics of a prey-predator model with Holling type III functional response in the presence of harvesting. Zbl 1486.92154 Debnath, Surajit; Majumdar, Prahlad; Sarkar, Susmita; Ghosh, Uttam 4 2022 Modeling the control of bacterial disease by social media advertisements: effects of awareness and sanitation. Zbl 1486.92090 Tiwari, Pankaj Kumar; Rai, Rajanish Kumar; Gupta, Rabindra Kumar; Martcheva, Maia; Misra, Arvind Kumar 3 2022 An ecoepidemic seasonally forced model for the combined effects of fear, additional foods and selective predation. Zbl 1493.92055 Shekhar Maity, Sasanka; Tiwari, Pankaj Kumar; Pal, Samares 3 2022 Ebola virus disease dynamics with some preventive measures: a case study of the 2018–2020 Kivu outbreak. Zbl 1486.92269 Ouemba Tassé, A. J.; Tsanou, B.; Lubuma, J.; Woukeng, Jean Louis; Signing, Francis 2 2022 Dynamics of anti-predator behavior and effect of fear on prey-predator model. Zbl 1502.92015 Prasad, K. Durga; Sasmal, Sourav Kumar 2 2022 A tumor-immune model with mixed immunotherapy and chemotherapy: qualitative analysis and optimal control. Zbl 1493.92031 Zhang, Zhibo; Li, Sheng; Si, Peng; Li, Xuefang; He, Xiongxiong 2 2022 A behavioral change model to assess vaccination-induced relaxation of social distancing during an epidemic. Zbl 1486.92206 Buonomo, Bruno; Della Marca, Rossella; Sharbayta, Sileshi Sintayehu 1 2022 Dynamics of a fishery model with continuous threshold harvesting policy and its leverage for conservation and management. Zbl 1502.91042 Bhattacharyya, Joydeb; Chatterjee, Anal 1 2022 An optimal control model for the impact of Phoslock on the mitigation of algal biomass in lakes. Zbl 1502.92025 Tiwari, Pankaj Kumar; Roy, Subarna; Douglas, Grant; Misra, Arvind Kumar 1 2022 Spatiotemporal dynamical analysis of a predator-prey system with fear and group defense in prey. Zbl 1493.92056 Shivam; Singh, Teekam; Kumar, Mukesh 1 2022 Extinction and persistence of a harvested prey-predator model incorporating group defence and disease in prey: special emphasis on stochastic environment. Zbl 1493.92047 Das, Subhashis; Chattopadhyay, Joydev; Mahato, Sanat Kumar; Mahato, Prasenjit 1 2022 Modeling the role of vaccination, environmental sanitation, and saturated treatment on the spread of typhoid fever. Zbl 1493.92070 Irena, Tsegaye Kebede; Gakkhar, Sunita 1 2022 Discrete maturity and delay differential-difference model of hematopoietic cell dynamics with applications to acute myelogenous leukemia. Zbl 1503.92033 Adimy, Mostafa; Chekroun, Abdennasser; El Abdllaoui, Abderrahim; Marzorati, Arsène 1 2022 An adaptive pharmacokinetic optimal control approach in chemotherapy for heterogeneous tumor. Zbl 1503.92042 Nanditha, C. K.; Rajan, M. P. 1 2022 Model for transmission and optimal control of anthrax involving human and animal population. Zbl 1505.92246 Zewdie, Assefa Denekew; Gakkhar, Sunita; Gupta, Shiv Kumar 1 2022 A nonautonomous model for the interactive effects of fear, refuge and additional food in a prey-predator system. Zbl 1469.92096 Sk, Nazmul; Tiwari, Pankaj Kumar; Kang, Yun; Pal, Samares 15 2021 A delay nonautonomous predator-prey model for the effects of fear, refuge and hunting cooperation. Zbl 1482.92083 Tiwari, Pankaj Kumar; Verma, Maitri; Pal, Soumitra; Kang, Yun; Misra, Arvind Kumar 10 2021 Bifurcation and chaos in a discrete predator-prey model with Holling type-III functional response and harvesting effect. Zbl 1469.92095 Singh, Anuraj; Deolia, Preeti 9 2021 A Darwinian dynamic model for the evolution of post-reproduction survival. Zbl 1469.92080 Cushing, J. M.; Stefanko, Kathryn 7 2021 Effect of additional food on predator-prey interactions with water-level fluctuation. Zbl 1482.92078 Sarkar, Abhijit; Tiwari, Pankaj Kumar; Pal, Samares 4 2021 Analysis of Bogdanov-Takens bifurcation of codimension 2 in a Gause-type model with constant harvesting of both species and delay effect. Zbl 1480.92179 Sarif, Nawaj; Sarwardi, Sahabuddin 4 2021 Bifurcation analysis for a one predator and two prey model with prey-taxis. Zbl 1469.92089 Haskell, Evan C.; Bell, Jonathan 4 2021 Dynamics of a predator-prey model with Crowley-Martin functional response, refuge on predator and harvesting of super-predator. Zbl 1478.92250 Panja, Prabir 3 2021 Dynamics of an infectious disease in the presence of saturated medical treatment of Holling type III and self-protection. Zbl 1469.92072 Mandale, Roshan; Kumar, Anuj; Vamsi, D. K. K.; Srivastava, Prashant K. 3 2021 Optimal control analysis of a human-bovine schistosomiasis model. Zbl 1469.92112 Kadaleka, S.; Abelman, S.; Mwamtobe, P. M.; Tchuenche, J. M. 2 2021 Modeling cholera transmission under disease control measures. Zbl 1469.92104 Brown, Margaret; Jiang, Miko; Yang, Chayu; Wang, Jin 2 2021 A model on bacterial resistance considering a generalized law of mass action for plasmid replication. Zbl 1469.92074 Ibargüen-Mondragón, Eduardo; Prieto, Kernel; Hidalgo-Bonilla, Sandra Patricia 2 2021 Stochasticity and cooperative hunting in predator-prey interactions. Zbl 1469.92090 Hu, Xiaochuan; Jang, Sophia R.-J. 2 2021 Role of media coverage in mitigating an epidemic outbreak: an optimal control model. Zbl 1482.92101 Kapoor, Anshika; Deka, Aniruddha; Bhattacharyya, Samit 1 2021 The effect of stochastic variability on transmission dynamics of echinococcosis. Zbl 1482.92113 Wang, Lei; Wang, Kai; Feng, Xiaomei; Zhao, Yu; Jiang, Daqing 1 2021 Modeling the impact of educational campaign on the transmission dynamics of Ebola. Zbl 1482.92091 Dautel, Kimberly A.; Agyingi, Ephraim O. 1 2021 Are the beginning and ending phases of epidemics characterized by the next generation matrices? A case study of drug-sensitive and resistant tuberculosis model. Zbl 1478.92237 Yang, Hyun Mo 1 2021 Impact of temperature variability on SIRS malaria model. Zbl 1480.92200 Keno, Temesgen Duressa; Makinde, Oluwole Daniel; Obsu, Legesse Lemecha 1 2021 A strong Allee effect and parasitoid aggregation in a discrete host-parasitoid system. Zbl 1469.92092 Jang, Sophia R.-J.; Hu, Xiaochuan 1 2021 Competition and cooperation on predation: bifurcation theory of mutualism. Zbl 1469.92087 Ghimire, Srijana; Wang, Xiang-Sheng 1 2021 Dynamical behavior of stochastic competition between plasmid-bearing and plasmid-free organisms in a chemostat model. Zbl 1469.92075 Liu, Xiaojuan; Sun, Shulin 1 2021 Stability analysis and optimal control of an intracellular HIV infection model with antiretroviral treatment. Zbl 1469.92068 Viriyapong, R.; Sawangthit, S. 1 2021 Role of repeat infection in the dynamics of a simple model of waning and boosting immunity. Zbl 1469.92125 Strube, Laura F.; Walton, Maya; Childs, Lauren M. 1 2021 Cross-diffusion-driven pattern formation and selection in a modified Leslie-Gower predator-prey model with fear effect. Zbl 1445.92239 Han, Renji; Guin, Lakshmi Narayan; Dai, Binxiang 24 2020 Chaos in a nonautonomous model for the interactions of prey and predator with effect of water level fluctuation. Zbl 1460.92178 Sarkar, Abhijit; Tiwari, Pankaj Kumar; Bona, Francesca; Pal, Samares 12 2020 Stability and bifurcation analysis of a discrete prey-predator model with square-root functional response and optimal harvesting. Zbl 1445.92234 Chakraborty, Prabir; Ghosh, Uttam; Sarkar, Susmita 11 2020 Bifurcation analysis of a two-dimensional predator-prey model with Holling type IV functional response and nonlinear predator harvesting. Zbl 1460.92167 Ghosh, Uttam; Majumdar, Prahlad; Ghosh, Jayanta Kumar 11 2020 A model of the optimal immunotherapy of psoriasis by introducing IL-10 and IL-22 inhibitors. Zbl 1451.92173 Roy, Priti Kumar; Roy, Amit Kumar; Khailov, Evgenii N.; Al Basir, Fahad; Grigorieva, Ellina V. 9 2020 Transmission dynamics and control strategies of COVID-19 in Wuhan, China. Zbl 1451.92307 Pang, Liuyong; Liu, Sanhong; Zhang, Xinan; Tian, Tianhai; Zhao, Zhong 8 2020 Global properties of HIV dynamics models including impairment of B-cell functions. Zbl 1445.92269 Elaiw, A. M.; Alshehaiween, S. F.; Hobiny, A. D. 7 2020 Analysis of a reaction-diffusion epidemic model with asymptomatic transmission. Zbl 1451.92287 Fitzgibbon, W. E.; Morgan, J. J.; Webb, G. F.; Wu, Y. 6 2020 Impact of adaptive mosquito behavior and insecticide-treated nets on malaria prevalence. Zbl 1448.92136 Ngonghala, Calistus N.; Wairimu, Josephine; Adamski, Jesse; Desai, Hardik 5 2020 Dynamical study of discrete-time prey-predator model with constant prey refuge under imprecise biological parameters. Zbl 1451.92266 Santra, P. K.; Mahapatra, G. S. 5 2020 Optimal resource allocation for a diffusive population model. Zbl 1460.92161 Bintz, Jason; Lenhart, Suzanne 5 2020 Deterministic predator-prey models with disease in the prey population. Zbl 1451.92258 Jang, Sophia R.-J.; Wei, Hsiu-Chuan 4 2020 COVID-19 order parameters and order parameter time constants of Italy and China: a modeling approach based on synergetics. Zbl 1451.92288 Frank, T. D. 3 2020 A mathematical model for treatment of papillary thyroid cancer using the Allee effect. Zbl 1451.92163 da Silva, Jairo Gomes; de Morais, Rafael Martins; da Silva, Izabel Cristina Rodrigues; Adimy, Mostafa; de Arruda Mancera, Paulo Fernando 3 2020 Modeling Zika transmission dynamics: prevention and control. Zbl 1451.92310 Roy, Parimita; Kumar Upadhyay, Ranjit; Caur, Jasmine 3 2020 An immuno-epidemiological vector-host model with within-vector viral kinetics. Zbl 1451.92289 Gulbudak, Hayriye 3 2020 Optimal control analysis of the effect of treatment, isolation and vaccination on hepatitis B virus. Zbl 1451.92191 Khan, Muhammad Altaf; Shah, Syed Azhar Ali; Ullah, Saif; Okosun, Kazeem Oare; Farooq, Muhammad 3 2020 Influence of asymptomatic people on malaria transmission: a mathematical model for a low-transmission area case. Zbl 1445.92264 Bulai, Iulia Martina; Depickère, Stéphanie; Sanches, Vitor Hirata 3 2020 Time-varying epidemic transmission in heterogeneous networks and applications to measles. Zbl 1460.92222 Sottile, Sara; Liu, Xinzhi 3 2020 Ebola outbreaks and international travel restrictions: case studies of Central and West Africa regions. Zbl 1451.92311 Siewe, Nourridine; Lenhart, Suzanne; Yakubu, Abdul-Aziz 2 2020 The computation of reproduction numbers for the environment-host-environment cholera transmission dynamics. Zbl 1451.92301 Lupica, Antonella; Gumel, Abba B.; Palumbo, Annunziata 2 2020 A mathematical study of the implicit role of innate and adaptive immune responses on within-human Plasmodium falciparum parasite levels. Zbl 1451.92103 Ngwa, Gideon A.; Woldegerima, Woldegebriel A.; Teboh-Ewungkem, Miranda I. 2 2020 The effects of invasive epibionts on crab-mussel communities: a theoretical approach to understand mussel population decline. Zbl 1445.92246 Lyu, Jingjing; Auker, Linda A.; Priyadarshi, Anupam; Parshad, Rana D. 1 2020 The impact of vaccination on malaria prevalence: a vaccine-age-structured modeling approach. Zbl 1451.92196 Vogt-Geisse, Katia; Ngonghala, Calistus N.; Feng, Zhilan 1 2020 Modeling disproportional effects of educating infected Kenyan youth on HIV/AIDS. Zbl 1451.92194 Ronoh, Marilyn; Chirove, Faraimunashe; Wairimu, Josephine; Ogana, Wandera 1 2020 Spatiotemporal dynamics of a diffusive Leslie-type predator-prey model with Beddington-DeAngelis functional response. Zbl 1451.92261 Li, Yan; Zhang, Linyan; Li, Dagen; Shi, Hong-Bo 1 2020 A strategy of optimal efficacy of T11 target structure in the treatment of brain tumor. Zbl 1418.92057 Khajanchi, Subhas; Banerjee, Sandip 13 2019 Global dynamics of a seasonal mathematical model of schistosomiasis transmission with general incidence function. Zbl 1418.92197 Traoré, Bakary; Koutou, Ousmane; Sangaré, Boureima 6 2019 Study of a predator-prey model with pest management perspective. Zbl 1423.92221 Mandal, Dibyendu Sekhar; Samanta, Sudip; Alzahrani, Abdullah Khames; Chattopadhyay, Joydev 6 2019 From individual health to community health: towards multiscale modeling of directly transmitted infectious disease systems. Zbl 1418.92163 Garira, Winston; Mafunda, Martin Canaan 4 2019 Effect of time delay in a cannibalistic stage-structured predator-prey model with harvesting of an adult predator: the case of lionfish. Zbl 1427.92080 Maji, Banamali; Tiwari, Pankaj Kumar; Samanta, Sudip; Pal, Samares; Bona, Francesca 3 2019 Effect of individual self-protective behavior on epidemic spreading. Zbl 1427.92088 Lee, Sang-Hee; Kang, Hyuk; Song, Hark-Soo 3 2019 Analysis of a stochastic HBV infection model with nonlinear incidence rate. Zbl 1423.92231 Hui, Hongwen; Nie, Lin-Fei 3 2019 A mathematical analysis of Zika virus epidemic in Rio de Janeiro as a vector-borne and sexually transmitted disease. Zbl 1418.92162 Cruz-Pacheco, Gustavo; Esteva, Lourdes; Ferreira, Claudia Pio 2 2019 A cholera metapopulation model interlinking migration with intervention strategies – a case study of Zimbabwe (2008–2009). Zbl 1418.92192 Senapati, Abhishek; Sardar, Tridip; Chattopadhyay, Joydev 1 2019 Influence of investing in treating a polluted environment on the harvest: a problem of optimal allocation. Zbl 1418.92227 Srinivasu, P. D. N.; Zawka, Simon D. 1 2019 Stability of a stochastically perturbed model of intracellular single-stranded RNA virus replication. Zbl 1418.92081 Shaikhet, Leonid; Elena, Santiago F.; Korobeinikov, Andrei 1 2019 Asymptotic behavior of a stochastic delayed chemostat model with nutrient storage. Zbl 1409.92272 Sun, Shulin; Zhang, Xiaofeng 15 2018 Spatial aspect of hunting cooperation in predators with Holling type II functional response. Zbl 1415.92161 Singh, Teekam; Banerjee, Sandip 11 2018 A mathematical model for Ebola epidemic with self-protection measures. Zbl 1409.92226 Berge, T.; Chapwanya, M.; Lubuma, J. M.-S.; Terefe, Y. A. 9 2018 A study of bifurcation of prey-predator model with time delay and harvesting using fuzzy parameters. Zbl 1409.92207 Pal, D.; Mahapatra, G. S.; Samanta, G. P. 8 2018 Stochastic modeling of phytoplankton-zooplankton interactions with toxin producing phytoplankton. Zbl 1409.92190 De Silva, T. Mihiri M.; Jang, Sophia R.-J. 7 2018 Mathematical modeling of in-vivo tumor-immune interactions for the cancer immunotherapy using matured dendritic cells. Zbl 1409.92112 Arabameri, Abazar; Asemani, Davud; Hajati, Jamshid 7 2018 Control strategies of hepatitis B with three control variables. Zbl 1409.92148 Khan, Muhammad Altaf; Islam, Saeed; Valverde, Jose C.; Khan, Sher Afzal 6 2018 Modeling monocyte-derived dendritic cells as a therapeutic vaccine against HIV. Zbl 1415.92116 Saha, Shubhankar; Roy, Priti Kumar; Smith?, Robert 5 2018 Effects of eclipse phase and delay on the dynamics of HIV infection. Zbl 1418.92191 Sahani, Saroj Kumar; Yashi 5 2018 An integrated pest management model with dose-response effect of pesticides. Zbl 1409.92265 Kang, Baolin; Liu, Bing; Tao, Fengmei 4 2018 ...and 366 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,594 Authors 35 Misra, Arvind Kumar 34 Tiwari, Pankaj Kumar 32 Chen, Lansun 30 Dubey, Balram 30 Venturino, Ezio 29 Jiang, Daqing 28 Kar, Tapan Kumar 26 Chattopadhyay, Joydev 26 Foryś, Urszula 25 Liu, Bing 22 Samanta, Guru Prasad 22 Teng, Zhi-dong 21 Kumar Upadhyay, Ranjit 20 Jin, Zhen 20 Martcheva, Maia 20 Samanta, Sudip 19 Pal, Samaresh 18 Kumar Roy, Priti 18 Schättler, Heinz Michael 17 Hayat, Tasawar 17 Ledzewicz, Urszula 17 Mukherjee, Debasis 15 Meng, Xinzhu 15 Nyabadza, Farai 14 Bodnar, Marek 14 Guin, Lakshmi Narayan 14 Gumel, Abba B. 14 Liu, Meng 14 Mukandavire, Zindoga 14 Okuonghae, Daniel 13 Gao, Shujing 13 Jiao, Jianjun 13 Pei, Yongzhen 12 Auger, Pierre M. 12 Banerjee, Malay 12 Elaiw, Ahmed M. 12 Gakkhar, Sunita 12 Liu, Qun 12 Liu, Zhijun 12 Nilam, Murray E. Alexander 12 Piotrowska, Monika Joanna 12 Srivastava, Prashant Kr. 12 Zhang, Qimin 11 Bairagi, Nandadulal 11 Bhattacharyya, Rakhi 11 Bhunu, Claver Pedzisai 11 Djilali, Salih 11 Garira, Winston S. 11 Ghosh, Uttam 11 Li, Xuezhi 11 Mukhopadhyay, Banibrata 11 Rai, Rajanish Kumar 11 Wang, Hao 11 Wang, Ke 10 Al-saedi, Ahmed Eid Salem 10 Chen, Fengde 10 Chen, Yuming 10 Jana, Soovoojeet 10 Jang, Sophia R.-J. 10 Khajanchi, Subhas 10 Khan, Muhammad Altaf 10 Kumar, Abhishek 10 Lenhart, Suzanne M. 10 Lerner, Vladimir S. 10 Lubuma, Jean Mbaro-Saman 10 Ma, Jun 10 Maiti, Alakes 10 Mushayabasa, Steady 10 Takeuchi, Yasuhiro 10 Wang, Jinliang 10 Wang, Weiming 10 Zhang, Tonghua 9 Basir, Fahad Al 9 Chakraborty, Kunal 9 Dubey, Uma S. 9 Hritonenko, Natali 9 Huo, Hai-Feng 9 Li, Li 9 Liu, Maoxing 9 Rong, Libin 9 Sun, Guiquan 9 Thakur, Nilesh Kumar 9 Zhang, Xiaofeng 8 Banerjee, Sandip 8 Demongeot, Jacques 8 Georgescu, Paul 8 Greenhalgh, David 8 Hobiny, Aatef D. 8 Ibargüen Mondragón, Eduardo 8 Jana, Debaldev 8 Marciniak-Czochra, Anna K. 8 Moussaoui, Ali 8 Nie, Linfei 8 Richard, Adrien 8 Ruan, Shigui 8 Tian, Yuan 8 Tsanou, Berge 8 Wang, Lianwen 8 Wu, Jianhong 8 Yuan, Rong ...and 3,494 more Authors all top 5 Cited in 257 Journals 165 Journal of Biological Systems 111 International Journal of Biomathematics 94 Mathematical Methods in the Applied Sciences 89 Applied Mathematics and Computation 85 Mathematical Biosciences 84 Journal of Theoretical Biology 83 Chaos, Solitons and Fractals 81 Mathematical Biosciences and Engineering 60 Journal of Mathematical Biology 58 Journal of Applied Mathematics and Computing 57 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 56 Bulletin of Mathematical Biology 53 Communications in Nonlinear Science and Numerical Simulation 50 Nonlinear Analysis. Real World Applications 47 Journal of Biological Dynamics 45 Mathematics and Computers in Simulation 45 Advances in Difference Equations 41 Nonlinear Dynamics 40 Physica A 36 Applied Mathematical Modelling 31 Discrete Dynamics in Nature and Society 30 Discrete and Continuous Dynamical Systems. Series B 27 Differential Equations and Dynamical Systems 26 Chaos 23 Abstract and Applied Analysis 21 Mathematical and Computer Modelling 20 Journal of Mathematical Analysis and Applications 20 International Journal of Applied and Computational Mathematics 19 Theoretical Population Biology 19 Journal of Applied Analysis and Computation 18 Journal of Differential Equations 18 Computational & Mathematical Methods in Medicine 17 Journal of Applied Mathematics 16 Nonlinear Analysis. Modelling and Control 15 Computational and Applied Mathematics 15 Complexity 14 Applied Mathematics Letters 14 Mathematical Modelling of Natural Phenomena 13 Mathematical Problems in Engineering 12 Journal of the Franklin Institute 12 Journal of Computational and Applied Mathematics 12 Qualitative Theory of Dynamical Systems 12 Nonlinear Analysis. Hybrid Systems 11 Optimal Control Applications & Methods 11 Journal of Difference Equations and Applications 10 Mathematical Population Studies 10 International Journal of Nonlinear Sciences and Numerical Simulation 9 Acta Applicandae Mathematicae 9 Physica D 8 Journal of Optimization Theory and Applications 8 Journal of Nonlinear Science 7 Discrete Applied Mathematics 7 International Journal of Mathematics and Mathematical Sciences 7 SIAM Journal on Applied Mathematics 7 Discrete and Continuous Dynamical Systems 6 Applicable Analysis 6 Computers & Mathematics with Applications 6 International Journal of Systems Science 6 Automatica 6 Filomat 6 Natural Resource Modeling 6 Journal of Systems Science and Complexity 6 Advances in Complex Systems 6 International Journal of Differential Equations 6 Mathematics in Applied Sciences and Engineering 5 Information Sciences 5 Stochastic Analysis and Applications 5 Numerical Methods for Partial Differential Equations 5 International Journal of Computer Mathematics 5 Journal of the Egyptian Mathematical Society 5 Journal of Mathematical Chemistry 5 Journal of Applied Nonlinear Dynamics 5 Computational Methods for Differential Equations 5 AIMS Mathematics 5 Computational and Mathematical Biophysics 5 Results in Applied Mathematics 4 Nonlinearity 4 Rocky Mountain Journal of Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Ricerche di Matematica 4 Theoretical Computer Science 4 Systems & Control Letters 4 Applied Numerical Mathematics 4 European Journal of Control 4 Applications and Applied Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 4 Afrika Matematika 4 ISRN Biomathematics 4 Mathematics 4 Journal of Function Spaces 4 Cogent Mathematics 3 Neural Networks 3 Computational Statistics and Data Analysis 3 International Journal of Robust and Nonlinear Control 3 Applied Mathematics. Series B (English Edition) 3 Electronic Journal of Differential Equations (EJDE) 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 The ANZIAM Journal 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 SIAM Journal on Applied Dynamical Systems ...and 157 more Journals all top 5 Cited in 40 Fields 2,114 Biology and other natural sciences (92-XX) 1,072 Ordinary differential equations (34-XX) 348 Dynamical systems and ergodic theory (37-XX) 265 Partial differential equations (35-XX) 209 Calculus of variations and optimal control; optimization (49-XX) 185 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 170 Probability theory and stochastic processes (60-XX) 164 Systems theory; control (93-XX) 117 Numerical analysis (65-XX) 44 Statistics (62-XX) 42 Difference and functional equations (39-XX) 38 Computer science (68-XX) 30 Real functions (26-XX) 25 Combinatorics (05-XX) 18 Operations research, mathematical programming (90-XX) 15 Integral equations (45-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Information and communication theory, circuits (94-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Operator theory (47-XX) 10 Fluid mechanics (76-XX) 6 Mathematical logic and foundations (03-XX) 6 Mechanics of particles and systems (70-XX) 5 General and overarching topics; collections (00-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Quantum theory (81-XX) 2 Category theory; homological algebra (18-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year