Mathematical Biosciences and EngineeringA Joint Journal of American Institute of Mathematical Sciences and Beihang University Short Title: Math. Biosci. Eng. Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1547-1063; 1551-0018/e Online: https://www.aimspress.com/journal/MBE/archive.html Comments: Journal; No longer indexed; Published electronic only as of Vol. 7 (2010). Print ISSN until then: 1547-1063 Documents Indexed: 2,347 Publications (2004–2022) References Indexed: 1,808 Publications with 69,796 References. all top 5 Latest Issues 19, No. 12 (2022) 19, No. 11 (2022) 19, No. 10 (2022) 19, No. 9 (2022) 19, No. 8 (2022) 19, No. 7 (2022) 19, No. 6 (2022) 19, No. 5 (2022) 19, No. 4 (2022) 19, No. 3 (2022) 19, No. 2 (2022) 19, No. 1 (2022) 18, No. 6 (2021) 18, No. 5 (2021) 18, No. 4 (2021) 18, No. 3 (2021) 18, No. 2 (2021) 18, No. 1 (2021) 17, No. 6 (2020) 17, No. 5 (2020) 17, No. 4 (2020) 17, No. 3 (2020) 17, No. 2 (2020) 17, No. 1 (2020) 16, No. 6 (2019) 16, No. 5 (2019) 16, No. 4 (2019) 16, No. 3 (2019) 16, No. 2 (2019) 16, No. 1 (2019) 15, No. 6 (2018) 15, No. 5 (2018) 15, No. 4 (2018) 15, No. 3 (2018) 15, No. 2 (2018) 15, No. 1 (2018) 14, No. 5-6 (2017) 14, No. 4 (2017) 14, No. 3 (2017) 14, No. 2 (2017) 14, No. 1 (2017) 13, No. 6 (2016) 13, No. 5 (2016) 13, No. 4 (2016) 13, No. 3 (2016) 13, No. 2 (2016) 13, No. 1 (2016) 12, No. 6 (2015) 12, No. 5 (2015) 12, No. 4 (2015) 12, No. 3 (2015) 12, No. 2 (2015) 12, No. 1 (2015) 11, No. 6 (2014) 11, No. 5 (2014) 11, No. 4 (2014) 11, No. 3 (2014) 11, No. 2 (2014) 11, No. 1 (2014) 10, No. 5-6 (2013) 10, No. 4 (2013) 10, No. 3 (2013) 10, No. 2 (2013) 10, No. 1 (2013) 9, No. 4 (2012) 9, No. 3 (2012) 9, No. 2 (2012) 9, No. 1 (2012) 8, No. 4 (2011) 8, No. 3 (2011) 8, No. 2 (2011) 8, No. 1 (2011) 7, No. 4 (2010) 7, No. 3 (2010) 7, No. 2 (2010) 7, No. 1 (2010) 6, No. 4 (2009) 6, No. 3 (2009) 6, No. 2 (2009) 6, No. 1 (2009) 5, No. 4 (2008) 5, No. 3 (2008) 5, No. 2 (2008) 5, No. 1 (2008) 4, No. 4 (2007) 4, No. 3 (2007) 4, No. 2 (2007) 4, No. 1 (2007) 3, No. 4 (2006) 3, No. 3 (2006) 3, No. 2 (2006) 3, No. 1 (2006) 2, No. 4 (2005) 2, No. 3 (2005) 2, No. 2 (2005) 2, No. 1 (2005) 1, No. 2 (2004) 1, No. 1 (2004) all top 5 Authors 26 Castillo-Chavez, Carlos 25 Wu, Jianhong 22 Banks, Harvey Thomas 20 Kuang, Yang 15 Takeuchi, Yasuhiro 14 Jin, Zhen 14 Ledzewicz, Urszula 14 Zhu, Huaiping 13 Friedman, Avner 13 Song, Baojun 12 Chowell, Gerardo 12 Feng, Zhilan 12 Schättler, Heinz Michael 12 Zhang, Qimin 11 Kang, Yun 11 Nishiura, Hiroshi 11 Wang, Hao 11 Wang, Weiming 11 Zou, Xingfu 10 Ackleh, Azmy S. 10 Brauer, Fred 10 Fan, Meng 10 Foryś, Urszula 10 Huo, Hai-Feng 10 Li, Jia 10 Liu, Shengqiang 10 Ruan, Shigui 10 Xiao, Yanni 9 Cai, Yongli 9 Gumel, Abba B. 9 Liu, Maoxing 9 Qiu, Zhipeng 9 Wang, Jin 9 Wang, Lin 9 Xu, Rui 9 Yuan, Sanling 8 Chen, Yuming 8 d’Onofrio, Alberto 8 Hyman, James M. 8 Korobeinikov, Andrei 8 Kribs-Zaleta, Christopher M. 8 Kuniya, Toshikazu 8 Tang, Sanyi 8 Wang, Kaifa 7 Akram, Muhammad 7 Buonomo, Bruno 7 Cui, Jingan 7 He, Daihai 7 Hu, Shuhua 7 Lenhart, Suzanne M. 7 Li, Xuezhi 7 Ma, Wanbiao 7 Martcheva, Maia 7 McCluskey, C. Connell 7 Rong, Libin 7 van den Driessche, Pauline 7 Venturino, Ezio 7 Wang, Kai 7 Wang, Wendi 7 Xiang, Hong 6 Alzabut, Jehad O. 6 Băleanu, Dumitru I. 6 Bodnar, Marek 6 Bollt, Erik M. 6 Elaiw, Ahmed M. 6 Levy, Doron 6 Li, Jianquan 6 Li, Mingtao 6 Li, Xining 6 Ma, Zhien 6 Nieto-Villar, José Manuel 6 Peace, Angela 6 Pirozzi, Enrica 6 Shim, Eunha 6 Smith?, Stacey R. 6 Świerniak, Andrzej P. 6 Yan, Xuehu 6 Zhang, Juan 6 Zhang, Tonghua 6 Zhou, Yicang 5 Allen, Linda J. S. 5 Atangana, Abdon 5 Banerjee, Malay 5 Buonocore, Aniello 5 Bürger, Raimund 5 Chang, Chin-Chen 5 Craciun, Gheorghe 5 Dimitrov, Dobromir T. 5 Eberl, Hermann J. 5 Eftimie, Raluca 5 Gandolfi, Alberto 5 Gao, Zhengming 5 Izonin, Ivan 5 Jia, Heming 5 Kashdan, Eugene 5 Kim, Yangjin 5 Kirschner, Denise E. 5 Lei, Jinzhi 5 Lin, Jiazhe 5 Liu, Zhijun ...and 5,681 more Authors all top 5 Fields 1,913 Biology and other natural sciences (92-XX) 556 Ordinary differential equations (34-XX) 312 Partial differential equations (35-XX) 187 Computer science (68-XX) 180 Systems theory; control (93-XX) 170 Dynamical systems and ergodic theory (37-XX) 131 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 130 Operations research, mathematical programming (90-XX) 127 Statistics (62-XX) 121 Numerical analysis (65-XX) 120 Probability theory and stochastic processes (60-XX) 93 Calculus of variations and optimal control; optimization (49-XX) 84 Information and communication theory, circuits (94-XX) 51 Fluid mechanics (76-XX) 39 General and overarching topics; collections (00-XX) 32 Difference and functional equations (39-XX) 32 Mechanics of deformable solids (74-XX) 29 Combinatorics (05-XX) 24 Real functions (26-XX) 19 Integral equations (45-XX) 18 Statistical mechanics, structure of matter (82-XX) 13 Optics, electromagnetic theory (78-XX) 13 Classical thermodynamics, heat transfer (80-XX) 12 History and biography (01-XX) 11 Operator theory (47-XX) 10 Mechanics of particles and systems (70-XX) 6 Measure and integration (28-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Quantum theory (81-XX) 6 Geophysics (86-XX) 5 Mathematical logic and foundations (03-XX) 4 Special functions (33-XX) 4 Functional analysis (46-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,493 Publications have been cited 11,395 times in 8,088 Documents Cited by ▼ Year ▼ Dynamical models of tuberculosis and their applications. Zbl 1060.92041 Castillo-Chavez, Carlos; Song, Baojun 702 2004 A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence. Zbl 1062.92061 Korobeinikov, Andrei; Maini, Philip K. 126 2004 Review of stability and stabilization for impulsive delayed systems. Zbl 1416.93159 Yang, Xueyan; Li, Xiaodi; Xi, Qiang; Duan, Peiyong 111 2018 Optimal control applied to vaccination and treatment strategies for various epidemiological models. Zbl 1169.49018 Gaff, Holly; Schaefer, Elsa 92 2009 An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038 Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S. 88 2004 Dynamics of an infectious diseases with media/psychology induced non-smooth incidence. Zbl 1259.92061 Xiao, Yanni; Zhao, Tingting; Tang, Sanyi 88 2013 Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes. Zbl 1259.34068 McCluskey, C. Connell 87 2012 A mathematical model for the novel coronavirus epidemic in Wuhan, China. Zbl 1470.92367 Yang, Chayu; Wang, Jin 83 2020 Evolution of dispersal and the ideal free distribution. Zbl 1188.35102 Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan 82 2010 Modeling diseases with latency and relapse. Zbl 1123.92018 van den Driessche, P.; Wang, Lin; Zou, Xingfu 80 2007 Dynamics of an age-of-infection cholera model. Zbl 1273.92050 Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 74 2013 Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Zbl 1190.35120 Huang, Wenzhang; Han, Maoan; Liu, Kaiyu 74 2010 Global stability for an SEIR epidemiological model with varying infectivity and infinite delay. Zbl 1190.34108 McCluskey, C. Connell 73 2009 Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. Zbl 1140.92016 Sharomi, Oluwaseun; Podder, Chandra N.; Gumel, Abba B.; Song, Baojun 68 2008 Noise in ecosystems: a short review. Zbl 1086.92055 Spagnolo, B.; Valenti, D.; Fiasconaro, A. 66 2004 An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Zbl 1092.92039 Gumel, A. B.; McCluskey, C. Connell; Watmough, James 66 2006 Lyapunov functions for tuberculosis models with fast and slow progression. Zbl 1113.92057 McCluskey, C. Connell 65 2006 Dynamic multidrug therapies for HIV: Optimal and STI control approaches. Zbl 1060.92034 Adams, B. M.; Banks, H. T.; Kwon, Hee-Dae; Tran, Hien T. 64 2004 Vector control for the Chikungunya disease. Zbl 1259.92071 Dumont, Yves; Chiroleu, Frederic 62 2010 Epidemic threshold conditions for seasonally forced SEIR models. Zbl 1089.92048 Ma, Junling; Ma, Zhien 60 2006 Global dynamics of a staged progression model for infectious diseases. Zbl 1092.92040 Guo, Hongbin; Li, Michael Y. 58 2006 A final size relation for epidemic models. Zbl 1123.92030 Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 58 2007 Fear effect in prey and hunting cooperation among predators in a Leslie-Gower model. Zbl 1497.92209 Pal, Saheb; Pal, Nikhil; Samanta, Sudip; Chattopadhyay, Joydev 54 2019 Epidemic models with nonlinear infection forces. Zbl 1089.92052 Wang, Wendi 51 2006 Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains. Zbl 1167.35426 Kao, Chiu-Yen; Lou, Yuan; Yanagida, Eiji 51 2008 SEIR epidemiological model with varying infectivity and infinite delay. Zbl 1165.34421 Röst, Gergely; Wu, Jianhong 50 2008 Global stability of an SIR epidemic model with delay and general nonlinear incidence. Zbl 1259.34067 McCluskey, C. Connell 47 2010 The effect of global travel on the spread of SARS. Zbl 1089.92049 Ruan, Shigui; Wang, Wendi; Levin, Simon A. 47 2006 Pattern formation of a predator-prey model with the cost of anti-predator behaviors. Zbl 1406.92530 Wang, Xiaoying; Zou, Xingfu 45 2018 Global stability for a class of discrete SIR epidemic models. Zbl 1259.34064 Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki 43 2010 Global dynamics of an SIRS model with demographics and transfer from infectious to susceptible on heterogeneous networks. Zbl 1497.92262 Hu, Haijun; Yuan, Xupu; Huang, Lihong; Huang, Chuangxia 42 2019 Mathematical analysis of a model for HIV-malaria co-infection. Zbl 1167.92020 Mukandavire, Zindoga; Gumel, Abba B.; Garira, Winston; Tchuenche, Jean Michel 41 2009 A discrete stochastic model of the COVID-19 outbreak: forecast and control. Zbl 1467.92200 He, Sha; Tang, Sanyi; Rong, Libin 40 2020 Modeling TB and HIV co-infections. Zbl 1194.92054 Roeger, Lih-Ing W.; Feng, Z.; Castillo-Chávez, Carlos 38 2009 Modeling the effect of information campaigns on the HIV epidemic in Uganda. Zbl 1154.92037 Joshi, Hem; Lenhart, Suzanne; Albright, Kendra; Gipson, Kevin 38 2008 A SEIR model for control of infectious diseases with constraints. Zbl 1327.92055 Biswas, M. H. A.; Paiva, L. T.; de Pinho, M.d. R. 37 2014 Time delay in necrotic core formation. Zbl 1115.34078 Bodnar, Marek; Foryś, Urszula 37 2005 A simple epidemic model with surprising dynamics. Zbl 1061.92052 Berezovsky, Faina; Karev, Georgy; Song, Baojun; Castillo-Chavez, Carlos 36 2005 Dynamics of a predator-prey system with prey subject to Allee effects and disease. Zbl 1317.34105 Kang, Yun; Sasmal, Sourav Kumar; Bhowmick, Amiya Ranjan; Chattopadhyay, Joydev 36 2014 Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy. Zbl 1260.92065 Liu, Shengqiang; Wang, Lin 36 2010 Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480 Yang, Yu; Ruan, Shigui; Xiao, Dongmei 35 2015 Sensitivity and uncertainty analyses for an SARS model with time-varying inputs and outputs. Zbl 1092.92042 McLeod, Robert G.; Brewster, John F.; Gumel, Abba B.; Slonowsky, Dean A. 35 2006 The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth. Zbl 1167.92013 Eikenberry, Steffen; Hews, Sarah; Nagy, John D.; Kuang, Yang 35 2009 Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064 Yang, Qingshan; Mao, Xuerong 34 2014 Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052 Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M. 34 2017 Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model. Zbl 1515.35057 Yamazaki, Kazuo; Wang, Xueying 34 2017 Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes. Zbl 1143.92030 Artalejo, J. R.; Economou, A.; Lopez-Herrero, M. J. 34 2007 Optimal control of chikungunya disease: larvae reduction, treatment and prevention. Zbl 1260.92068 Moulay, Djamila; Aziz-Alaoui, M. A.; Kwon, Hee-Dae 33 2012 Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility. Zbl 1260.92106 Melnik, Andrey V.; Korobeinikov, Andrei 33 2013 A delayed HIV-1 model with virus waning term. Zbl 1329.34129 Li, Bing; Chen, Yuming; Lu, Xuejuan; Liu, Shengqiang 32 2016 Global stability of an age-structured cholera model. Zbl 1298.92107 Yang, Jianxin; Qiu, Zhipeng; Li, Xue-Zhi 32 2014 The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity. Zbl 1070.92026 Nagy, John D. 32 2004 Stability analysis and application of a mathematical cholera model. Zbl 1260.92063 Liao, Shu; Wang, Jin 32 2011 Dynamics of delayed mosquitoes populations models with two different strategies of releasing sterile mosquitoes. Zbl 1406.92490 Cai, Liming; Ai, Shangbing; Fan, Guihong 32 2018 Population dynamic consequences of fearful prey in a spatiotemporal predator-prey system. Zbl 1500.92097 Upadhyay, Ranjit Kumar; Mishra, Swati 31 2019 Epidemic models for complex networks with demographics. Zbl 1326.92067 Jin, Zhen; Zhu, Huaiping 31 2014 The global stability of an SIRS model with infection age. Zbl 1298.92096 Chen, Yuming; Yang, Junyuan; Zhang, Fengqin 31 2014 Effects of media reporting on mitigating spread of COVID-19 in the early phase of the outbreak. Zbl 1470.92378 Zhou, Weike; Wang, Aili; Xia, Fan; Xiao, Yanni; Tang, Sanyi 31 2020 Predicting the cumulative number of cases for the COVID-19 epidemic in China from early data. Zbl 1467.92215 Liu, Zhihua; Magal, Pierre; Seydi, Ousmane; Webb, Glenn 30 2020 Some simple epidemic models. Zbl 1089.92042 Brauer, Fred 30 2006 Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China. Zbl 1306.92061 Li, Mingtao; Sun, Guiquan; Zhang, Juan; Jin, Zhen; Sun, Xiangdong; Wang, Youming; Huang, Baoxu; Zheng, Yaohui 29 2014 Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes. Zbl 1259.34071 Vargas-De-León, Cruz 29 2012 Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays. Zbl 1260.92088 Yuan, Zhaohui; Zou, Xingfu 29 2013 Mathematical modelling of tuberculosis epidemics. Zbl 1167.92019 Aparicio, Juan Pablo; Castillo-Chávez, Carlos 29 2009 Final and peak epidemic sizes for \(SEIR\) models with quarantine and isolation. Zbl 1142.92036 Feng, Zhilan 29 2007 Discrete epidemic models. Zbl 1184.92040 Brauer, Fred; Feng, Zhilan; Castillo-Chavez, Carlos 29 2010 Communication and synchronization in disconnected networks with dynamic topology: Moving neighborhood networks. Zbl 1060.92004 Skufca, Joseph D.; Bollt, Erik M. 28 2004 A note on dynamics of an age-of-infection cholera model. Zbl 1326.92072 Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu 28 2016 Malaria model with stage-structured mosquitoes. Zbl 1260.92060 Li, Jia 28 2011 Global stability analysis for SEIS models with \(n\) latent classes. Zbl 1155.34325 Bame, Napoleon; Bowong, Samuel; Mbang, Joseph; Sallet, Gauthier; Tewa, Jean-Jules 28 2008 Optimal harvesting of a competitive n-species stochastic model with delayed diffusions. Zbl 1497.92222 Zhu, Fangfang; Meng, Xinzhu; Zhang, Tonghua 27 2019 Age-of-infection and the final size relation. Zbl 1166.92321 Brauer, Fred 27 2008 Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. Zbl 1259.92048 Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz 27 2011 The estimation of the effective reproductive number from disease outbreak data. Zbl 1166.62080 Cintrón-Arias, Ariel; Castillo-Chávez, Carlos; Bettencourt, Luís M. A.; Lloyd, Alun L.; Banks, H. T. 27 2009 Optimal control of vaccine distribution in a rabies metapopulation model. Zbl 1158.92324 Asano, Erika; Gross, Louis J.; Lenhart, Suzanne; Real, Leslie A. 27 2008 Critical role of nosocomial transmission in the Toronto SARS outbreak. Zbl 1060.92054 Webb, Glenn F.; Blaser, Martin J.; Zhu, Huaiping; Ardal, Sten; Wu, Jianhong 26 2004 Physiologically structured populations with diffusion and dynamic boundary conditions. Zbl 1260.92097 Farkas, József Z.; Hinow, Peter 26 2011 Evidence of chaos in eco-epidemic models. Zbl 1178.92057 Stiefs, Dirk; Venturino, Ezio; Feudel, Ulrike 26 2009 A multiscale model for glioma spread including cell-tissue interactions and proliferation. Zbl 1343.92073 Engwer, Christian; Knappitsch, Markus; Surulescu, Christina 26 2016 Modeling the control of infectious diseases: effects of TV and social media advertisements. Zbl 1416.92162 Misra, Arvind Kumar; Rai, Rajanish Kumar; Takeuchi, Yasuhiro 25 2018 A two-patch prey-predator model with predator dispersal driven by the predation strength. Zbl 1417.37282 Kang, Yun; Sasmal, Sourav Kumar; Messan, Komi 25 2017 Modeling spatial spread of West Nile virus and impact of directional dispersal of birds. Zbl 1089.92047 Liu, Rongsong; Shuai, Jiangping; Wu, Jianhong; Zhu, Huaiping 25 2006 The replicability of oncolytic virus: defining conditions in tumor virotherapy. Zbl 1259.34029 Tian, Jianjun Paul 24 2011 Stoichiometric plant-herbivore models and their interpretation. Zbl 1060.92059 Kuang, Yang; Huisman, Jef; Elser, James J. 23 2004 Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates. Zbl 1260.92008 Abbas, Fazal; Sudarsan, Rangarajan; Eberl, Hermann J. 23 2012 Many particle approximation of the Aw-Rascle-Zhang second order model for vehicular traffic. Zbl 1348.35138 Di Francesco, Marco; Fagioli, Simone; Rosini, Massimiliano D. 23 2017 Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038 Li, Jianquan; Ma, Zhien; Brauer, Fred 23 2007 A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034 Arcak, Murat; Sontag, Eduardo D. 23 2008 Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay. Zbl 1410.34258 Xu, Jinhu; Zhou, Yicang 23 2016 Effect of delay in diagnosis on transmission of COVID-19. Zbl 1470.92190 Rong, Xinmiao; Yang, Liu; Chu, Huidi; Fan, Meng 23 2020 Estimation and identification of parameters in a lumped cerebrovascular model. Zbl 1159.92025 Pope, Scott R.; Ellwein, Laura M.; Zapata, Cheryl L.; Novak, Vera; Kelley, C. T.; Olufsen, Mette S. 22 2009 Parameter estimation and uncertainty quantification for an epidemic model. Zbl 1260.62085 Capaldi, Alex; Behrend, Samuel; Berman, Benjamin; Smith, Jason; Wright, Justin; Lloyd, Alun L. 22 2012 A cellular Potts model simulating cell migration on and in matrix environments. Zbl 1259.92024 Scianna, Marco; Preziosi, Luigi; Wolf, Katarina 22 2013 On the global dynamics of a model for tumor immunotherapy. Zbl 1172.37323 Kirschner, Denise; Tsygvintsev, Alexei 22 2009 Dynamics of a Filippov epidemic model with limited hospital beds. Zbl 1406.92625 Wang, Aili; Xiao, Yanni; Zhu, Huaiping 22 2018 Virus dynamics model with intracellular delays and immune response. Zbl 1321.34108 Song, Haitao; Jiang, Weihua; Liu, Shengqiang 22 2015 Immunotherapy: an optimal control theory approach. Zbl 1180.92038 Fister, K. Renee; Hughes Donnelly, Jennifer 22 2005 Differential susceptibility and infectivity epidemic models. Zbl 1101.34034 Hyman, James M.; Li, Jia 22 2006 Feedback regulation in multistage cell lineages. Zbl 1159.92013 Lo, Wing-Cheong; Chou, Ching-Shan; Gokoffski, Kimberly K.; Wan, Frederic Y.-M.; Lander, Arthur D.; Calof, Anne L.; Nie, Qing 22 2009 Dynamics of an edge-based SEIR model for sexually transmitted diseases. Zbl 1470.92305 Huo, Hai-Feng; Yang, Qian; Xiang, Hong 21 2020 Bifurcation analysis and chaos control of a discrete-time prey-predator model with fear factor. Zbl 1510.92167 Lei, Ceyu; Han, Xiaoling; Wang, Weiming 8 2022 On an initial boundary value problem for fractional pseudo-parabolic equation with conformable derivative. Zbl 1507.35329 Nguyen, Huy Tuan; van Tien, Nguyen; Yang, Chao 8 2022 Bifurcations in discontinuous mathematical models with control strategy for a species. Zbl 1489.92020 García, Christian Cortés 7 2022 Dynamic analysis of a malaria reaction-diffusion model with periodic delays and vector bias. Zbl 1489.92190 Zhao, Hongyong; Shi, Yangyang; Zhang, Xuebing 6 2022 Due date assignment scheduling with positional-dependent weights and proportional setup times. Zbl 1501.90035 Wang, Xuyin; Liu, Weiguo; Li, Lu; Zhao, Peizhen; Zhang, Ruifeng 6 2022 Extremal problems on exponential vertex-degree-based topological indices. Zbl 1516.92134 Sigarreta, José M. 5 2022 Stage duration distributions and intraspecific competition: a review of continuous stage-structured models. Zbl 1508.92217 Lou, Yijun; Sun, Bei 5 2022 Modeling the effect of time delay in the increment of number of hospital beds to control an infectious disease. Zbl 1510.92225 Misra, A. K.; Maurya, Jyoti; Sajid, Mohammad 5 2022 Analysis on determining the solution of fourth-order fuzzy initial value problem with Laplace operator. Zbl 1516.34006 Akram, Muhammad; Ihsan, Tayyaba; Allahviranloo, Tofigh; Al-Shamiri, Mohammed M. Ali 5 2022 Global proprieties of a delayed epidemic model with partial susceptible protection. Zbl 1486.92258 Mezouaghi, Abdelheq; Djillali, Salih; Zeb, Anwar; Nisar, Kottakkaran Sooppy 5 2022 Bistability in a model of tumor-immune system interactions with an oncolytic viral therapy. Zbl 1489.92042 Vithanage, G. V. R. K.; Wei, Hsiu-Chuan; Jang, Sophia R-J 5 2022 On a two-species competitive predator-prey system with density-dependent diffusion. Zbl 1508.92233 Zheng, Pan 5 2022 Bifurcations in a discontinuous Leslie-Gower model with harvesting and alternative food for predators and constant prey refuge at low density. Zbl 1508.92200 Cortés García, Christian 5 2022 Cross immunity protection and antibody-dependent enhancement in a distributed delay dynamic model. Zbl 1489.92180 Steindorf, Vanessa; Oliva, Sergio; Wu, Jianhong 4 2022 Due-window assignment scheduling with past-sequence-dependent setup times. Zbl 1489.90030 Liu, Weiguo; Wang, Xuyin; Wang, Xiaoxiao; Zhao, Peizhen 4 2022 A new MAGDM method with 2-tuple linguistic bipolar fuzzy Heronian mean operators. Zbl 1489.91083 Naz, Sumera; Akram, Muhammad; Al-Shamiri, Mohammed M. Ali; Khalaf, Mohammed M.; Yousaf, Gohar 4 2022 The Beverton-Hold model on isolated time scales. Zbl 1510.92155 Bohner, Martin; Mesquita, Jaqueline; Streipert, Sabrina 4 2022 A combination therapy of oncolytic viruses and chimeric antigen receptor T cells: a mathematical model proof-of-concept. Zbl 1501.92054 Mahasa, Khaphetsi Joseph; Ouifki, Rachid; Eladdadi, Amina; de Pillis, Lisette 4 2022 A nonstandard finite difference scheme for the SVICDR model to predict COVID-19 dynamics. Zbl 1489.92181 Treibert, Sarah; Brunner, Helmut; Ehrhardt, Matthias 3 2022 Calibration and prediction for the inexact SIR model. Zbl 1489.92185 Wang, Yan; Lu, Guichen; Du, Jiang 3 2022 Effect of travel restrictions, contact tracing and vaccination on control of emerging infectious diseases: transmission of COVID-19 as a case study. Zbl 1489.92101 Zhang, Fen-fen; Jin, Zhen 3 2022 Threshold dynamics of a stochastic SIHR epidemic model of COVID-19 with general population-size dependent contact rate. Zbl 1489.92155 Hou, Tianfang; Lan, Guijie; Yuan, Sanling; Zhang, Tonghua 3 2022 A mathematical model of discrete attachment to a cellulolytic biofilm using random DEs. Zbl 1508.92155 Hughes, Jack M.; Eberl, Hermann J.; Sonner, Stefanie 3 2022 An enhanced VIKOR method for multi-criteria group decision-making with complex Fermatean fuzzy sets. Zbl 1508.91133 Akram, Muhammad; Muhiuddin, G.; Santos-García, Gustavo 3 2022 Dynamics of a stochastic HBV infection model with drug therapy and immune response. Zbl 1508.92151 Tan, Yiping; Cai, Yongli; Peng, Zhihang; Wang, Kaifa; Yao, Ruoxia; Wang, Weiming 3 2022 A data-validated temporary immunity model of COVID-19 spread in Michigan. Zbl 1508.92290 Pell, Bruce; Johnston, Matthew D.; Nelson, Patrick 3 2022 Multiscale modelling of the start-up process of anammox-based granular reactors. Zbl 1508.92158 Russo, Fabiana; Tenore, Alberto; Mattei, Maria Rosaria; Frunzo, Luigi 3 2022 A non-standard discretized SIS model of epidemics. Zbl 1490.92076 Choiński, Marcini; Bodzioch, Mariusz; Foryś, Urszula 3 2022 Dynamical properties of a novel one dimensional chaotic map. Zbl 1496.37037 Kumar, Amit; Alzabut, Jehad; Kumari, Sudesh; Rani, Mamta; Chugh, Renu 3 2022 Traveling wave solutions of a singular Keller-Segel system with logistic source. Zbl 1510.92037 Li, Tong; Wang, Zhi-An 3 2022 Stochastic dynamics of influenza infection: qualitative analysis and numerical results. Zbl 1508.92236 Alzabut, Jehad; Alobaidi, Ghada; Hussain, Shah; Madi, Elissa Nadia; Khan, Hasib 3 2022 Bifurcations of an SIRS epidemic model with a general saturated incidence rate. Zbl 1511.92093 Zhang, Fang; Cui, Wenzhe; Dai, Yanfei; Zhao, Yulin 3 2022 Mathematical estimation for maximum flow of goods within a cross-dock to reduce inventory. Zbl 1508.90004 Mukherjee, Taniya; Sangal, Isha; Sarkar, Biswajit; Alkadash, Tamer M. 3 2022 A new perspective on infection forces with demonstration by a DDE infectious disease model. Zbl 1501.92148 Cheng, Tianyu; Zou, Xingfu 3 2022 An improved arithmetic optimization algorithm with forced switching mechanism for global optimization problems. Zbl 1491.90138 Zheng, Rong; Jia, Heming; Abualigah, Laith; Liu, Qingxin; Wang, Shuang 2 2022 On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model. Zbl 1489.92156 Huo, Hai-Feng; Wu, Fan; Xiang, Hong 2 2022 Complex Pythagorean fuzzy aggregation operators based on confidence levels and their applications. Zbl 1489.91081 Mahmood, Tahir; Ali, Zeeshan; Ullah, Kifayat; Khan, Qaisar; AlSalman, Hussain; Gumaei, Abdu; Rahman, Sk. Md. Mizanur 2 2022 A stochastic mathematical model of two different infectious epidemic under vertical transmission. Zbl 1489.92184 Wang, Xunyang; Huang, Canyun; Hao, Yixin; Shi, Qihong 2 2022 Conditional Ulam stability and its application to von Bertalanffy growth model. Zbl 1489.92021 Onitsuka, Masakazu 2 2022 A mathematical investigation of an “SVEIR” epidemic model for the measles transmission. Zbl 1489.92150 El Hajji, Miled; Albargi, Amer Hassan 2 2022 Rhythmic behaviors of the human heart with piecewise derivative. Zbl 1489.92016 Atangana, Abdon; İğret Araz, Seda 2 2022 The doubling time analysis for modified infectious disease Richards model with applications to COVID-19 pandemic. Zbl 1489.92179 Smirnova, Alexandra; Pidgeon, Brian; Chowell, Gerardo; Zhao, Yichuan 2 2022 Immuno-epidemiological co-affection model of HIV infection and opioid addiction. Zbl 1489.92154 Gupta, Churni; Tuncer, Necibe; Martcheva, Maia 2 2022 Dynamic analysis of a modified algae and fish model with aggregation and Allee effect. Zbl 1489.92198 Huang, Shengyu; Yu, Hengguo; Dai, Chuanjun; Ma, Zengling; Wang, Qi; Zhao, Min 2 2022 New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel. Zbl 1546.47048 Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Brzo, Aram Bahroz; Baleanu, Dumitru; Hamed, Yasser S. 2 2022 Monoamine neurotransmitters and mood swings: a dynamical systems approach. Zbl 1489.92011 Loula, R.; Monteiro, L. H. A. 2 2022 Order batching and order picking with 3D positioning of the articles: solution through a hybrid evolutionary algorithm. Zbl 1509.90033 Miguel, Fabio M.; Frutos, Mariano; Méndez, Máximo; Tohmé, Fernando 2 2022 Threshold dynamics of a viral infection model with defectively infected cells. Zbl 1508.92271 Li, Jianquan; Huo, Xiaoyu; Chen, Yuming 2 2022 Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations. Zbl 1509.45006 Eidinejad, Zahra; Saadati, Reza 2 2022 Prioritizing COVID-19 vaccination. I: Final size comparison between a single dose and double dose. Zbl 1508.92141 Kobayashi, Tetsuro; Nishiura, Hiroshi 2 2022 Modeling transmission dynamics of measles in Nepal and its control with monitored vaccination program. Zbl 1508.92149 Pokharel, Anjana; Adhikari, Khagendra; Gautam, Ramesh; Uprety, Kedar Nath; Vaidya, Naveen K. 2 2022 The force of cell-cell adhesion in determining the outcome in a nonlocal advection diffusion model of wound healing. Zbl 1508.92067 Webb, Glenn 2 2022 Theoretical analysis of unsteady squeezing nanofluid flow with physical properties. Zbl 1516.76089 Saeed, Aamir; Shah, Rehan Ali; Khan, Muhammad Sohail; Fernandez-Gamiz, Unai; Bani-Fwaz, Mutasem Z.; Noeiaghdam, Samad; Galal, Ahmed M. 2 2022 Synchronization of fractional-order memristive recurrent neural networks via aperiodically intermittent control. Zbl 1510.93285 Zhang, Shuai; Yang, Yongqing; Sui, Xin; Zhang, Yanna 2 2022 Spatiotemporal dynamics for impulsive eco-epidemiological model with Crowley-Martin type functional response. Zbl 1511.92054 Huo, Haifeng; Zhang, Fanhong; Xiang, Hong 2 2022 Periodic oscillation for a class of in-host MERS-CoV infection model with CTL immune response. Zbl 1511.92078 Keyoumu, Tuersunjiang; Guo, Ke; Ma, Wanbiao 2 2022 A novel discrete-time COVID-19 epidemic model including the compartment of vaccinated individuals. Zbl 1511.92064 Almatroud, A. Othman; Djenina, Noureddine; Ouannas, Adel; Grassi, Giuseppe; Al-Sawalha, M. 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Zbl 1501.92209 Zhou, Qi; Yuan, Huaimin; Zhang, Qimin 2 2022 Optimal control model of tumor treatment in the context of cancer stem cell. Zbl 1501.92045 Haddad, Ghassen; Kebir, Amira; Raissi, Nadia; Bouhali, Amira; Miled, Slimane Ben 2 2022 Low-carbon strategies in dual-channel supply chain under risk aversion. Zbl 1501.90006 Li, Tao; Xu, Xin; Zhao, Kun; Ma, Chao; Guirao, Juan Lg; Chen, Huatao 2 2022 Model-free based control of a HIV/AIDS prevention model. Zbl 1489.92168 Michel, Loïc; Silva, Cristiana J.; Torres, Delfim F. M. 1 2022 Evaluation of different strategic planning approaches in a forest plantation in the North of Misiones Province, Argentina. Zbl 1489.91185 Broz, Diego; López, Mathías; Sanzovo, Enzo; Arce, Julio; Reis, Hugo 1 2022 SIRVVD model-based verification of the effect of first and second doses of COVID-19/SARS-CoV-2 vaccination in Japan. Zbl 1489.92098 Omae, Yuto; Kakimoto, Yohei; Sasaki, Makoto; Toyotani, Jun; Hara, Kazuyuki; Gon, Yasuhiro; Takahashi, Hirotaka 1 2022 Photovoltaic models parameter estimation via an enhanced Rao-1 algorithm. Zbl 1489.93120 Ku, Junhua; Li, Shuijia; Gong, Wenyin 1 2022 Stability and bifurcation analysis of a tumor-immune system with two delays and diffusion. Zbl 1489.92035 Ding, Yuting; Liu, Gaoyang; An, Yong 1 2022 Stochastic investigation of HIV infection and the emergence of drug resistance. Zbl 1489.92096 Olabode, Damilola; Rong, Libin; Wang, Xueying 1 2022 Discrete epidemic modelling of COVID-19 transmission in Shaanxi Province with media reporting and imported cases. Zbl 1493.92068 Guo, Jin; Wang, Aili; Zhou, Weike; Gong, Yinjiao; Smith, Stacey R. 1 2022 Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation. Zbl 1500.34056 Muhib, A.; Dassios, I.; Baleanu, D.; Santra, S. 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Zbl 1489.92058 Hoessly, Linard; Wiuf, Carsten 1 2022 The number of COVID-19 clusters in healthcare and elderly care facilities averted by vaccination of healthcare workers in Japan, February-June 2021. Zbl 1489.92100 Sasanami, Misaki; Kayano, Taishi; Nishiura, Hiroshi 1 2022 Global dynamics for a Filippov system with media effects. Zbl 1489.92148 Dong, Cunjuan; Xiang, Changcheng; Qin, Wenjin; Yang, Yi 1 2022 Data-driven trajectory tracking control for autonomous underwater vehicle based on iterative extended state observer. Zbl 1490.93090 Wu, Chengxi; Dai, Yuewei; Shan, Liang; Zhu, Zhiyu; Wu, Zhengtian 1 2022 Objective space division-based hybrid evolutionary algorithm for handing overlapping solutions in combinatorial problems. Zbl 1489.91079 González, Begoña; Rossit, Daniel A.; Méndez, Máximo; Frutos, Mariano 1 2022 Dynamics of a predator-prey model with strong Allee effect and nonconstant mortality rate. Zbl 1489.92129 Ye, Juan; Wang, Yi; Jin, Zhan; Dai, Chuanjun; Zhao, Min 1 2022 Solving the TSP by the AALHNN algorithm. Zbl 1489.90004 Hu, Yun; Duan, Qianqian 1 2022 A coral reef benthic system with grazing intensity and immigrated macroalgae in deterministic and stochastic environments. Zbl 1489.92208 Zhao, Shengnan; Yuan, Sanling 1 2022 Nonlinear saturation controller simulation for reducing the high vibrations of a dynamical system. Zbl 1489.93043 Bauomy, Hany; Taha, Ashraf 1 2022 Iterative shepherding control for agents with heterogeneous responsivity. Zbl 1489.93005 Himo, Ryoto; Ogura, Masaki; Wakamiya, Naoki 1 2022 Deterministic-stochastic modeling: a new direction in modeling real world problems with crossover effect. Zbl 1505.65232 Atangana, Abdon; İğret Araz, Seda 1 2022 Using the SEIR model to constrain the role of contaminated fomites in spreading an epidemic: an application to COVID-19 in the UK. Zbl 1489.92167 Meiksin, Avery 1 2022 ...and 1105 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 11,191 Authors 81 Teng, Zhi-dong 60 Elaiw, Ahmed M. 58 Wang, Jinliang 51 Gumel, Abba B. 51 Wu, Jianhong 51 Xiao, Yanni 47 Martcheva, Maia 46 Jin, Zhen 46 Wang, Weiming 43 Huo, Hai-Feng 43 Jiang, Daqing 43 Wang, Hao 42 Ruan, Shigui 41 Chen, Yuming 41 Li, Xuezhi 40 Kuniya, Toshikazu 40 Misra, Arvind Kumar 39 Cao, Jinde 38 Tiwari, Pankaj Kumar 37 Banks, Harvey Thomas 37 Kuang, Yang 36 Kang, Yun 35 Yu, Jian-She 34 Chattopadhyay, Joydev 34 Rong, Libin 33 Wang, Jin 32 Buonomo, Bruno 32 Cai, Yongli 32 Qiu, Zhipeng 32 Tang, Sanyi 32 Yang, Junyuan 31 Bowong, Samuel 31 Takeuchi, Yasuhiro 31 Xu, Rui 31 Xu, Shihe 31 Zhang, Qimin 31 Zhu, Huaiping 30 Li, Xiaodi 29 Ackleh, Azmy S. 29 Li, Jia 29 Liu, Shengqiang 28 Xiang, Hong 28 Yuan, Sanling 28 Zou, Xingfu 27 Lenhart, Suzanne M. 27 Liu, Zhijun 26 Cai, Liming 26 d’Onofrio, Alberto 26 Lubuma, Jean Mbaro-Saman 26 Nyabadza, Farai 26 Schättler, Heinz Michael 26 Torres, Delfim Fernando Marado 26 Wang, Lin 26 Wang, Xia 26 Zhang, Tailei 25 Ledzewicz, Urszula 25 Mushayabasa, Steady 25 Surulescu, Christina 24 Li, Jianquan 24 Liu, Xianning 24 Lou, Yuan 24 Pal, Samaresh 24 Smith?, Stacey R. 24 Wang, Lianwen 23 Banerjee, Malay 23 Huang, Chuangxia 23 Ma, Wanbiao 23 Zhang, Tonghua 22 Khan, Muhammad Altaf 22 Kumar Upadhyay, Ranjit 22 Meng, Xinzhu 22 Srivastava, Prashant Kr. 22 Yang, Yu 21 Alshamrani, Noura H. 21 Bhunu, Claver Pedzisai 21 Eberl, Hermann J. 21 Huang, Lihong 21 Li, Wan-Tong 21 Okuonghae, Daniel 21 Sari, Tewfik 21 Sun, Guiquan 21 Wang, Wendi 21 Zhao, Hongyong 21 Zhou, Yicang 20 Hayat, Tasawar 20 Korobeinikov, Andrei 20 Liu, Maoxing 20 Röst, Gergely 20 Samanta, Sudip 20 Silva, Cristiana J. 20 Tchuenche, Jean Michel 20 Xu, Jinhu 20 Zheng, Bo 19 Cosner, Chris 19 Cui, Jingan 19 Eftimie, Raluca 19 Kar, Tapan Kumar 19 Nie, Linfei 19 Pirozzi, Enrica 19 Rihan, Fathalla A. ...and 11,091 more Authors all top 5 Cited in 522 Journals 584 Mathematical Biosciences and Engineering 318 Journal of Theoretical Biology 283 Bulletin of Mathematical Biology 282 Journal of Mathematical Biology 274 Mathematical Biosciences 271 Mathematical Methods in the Applied Sciences 253 Discrete and Continuous Dynamical Systems. 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