Journal of Biological Dynamics Short Title: J. Biol. Dyn. Publisher: Taylor & Francis, Abingdon, Oxfordshire ISSN: 1751-3758; 1751-3766/e Online: http://www.tandfonline.com/loi/tjbd20 Comments: Journal; This journal is available open access. Documents Indexed: 658 Publications (since 2007) References Indexed: 638 Publications with 22,050 References. all top 5 Latest Issues 18, No. 1 (2024) 17, No. 1 (2023) 16, No. 1 (2022) 15, No. 1 (2021) 15, Suppl. 1 (2021) 14, No. 1 (2020) 13, No. 1 (2019) 13, Suppl. 1 (2019) 12, No. 1 (2018) 11, No. 1 (2017) 11, Suppl. 2 (2017) 11, Suppl. 1 (2017) 10, No. 1 (2016) 9, No. 1 (2015) 9, Suppl. 1 (2015) 8, No. 1 (2014) 7, No. 1 (2013) 7, Suppl. 1 (2013) 6, No. 2 (2012) 6, No. 1 (2012) 6, Suppl. 2 (2012) 6, Suppl. 1 (2012) 5, No. 6 (2011) 5, No. 5 (2011) 5, No. 4 (2011) 5, No. 3 (2011) 5, No. 2 (2011) 5, No. 1 (2011) 4, No. 6 (2010) 4, No. 5 (2010) 4, No. 4 (2010) 4, No. 3 (2010) 4, No. 2 (2010) 4, No. 1 (2010) 3, No. 6 (2009) 3, No. 5 (2009) 3, No. 4 (2009) 3, No. 2-3 (2009) 3, No. 1 (2009) 2, No. 4 (2008) 2, No. 3 (2008) 2, No. 2 (2008) 2, No. 1 (2008) 1, No. 4 (2007) 1, No. 3 (2007) 1, No. 2 (2007) 1, No. 1 (2007) all top 5 Authors 28 Martcheva, Maia 17 Cushing, Jim M. 14 Ackleh, Azmy S. 13 Elaydi, Saber Nasr 13 Li, Jia 10 Jang, Sophia R.-J. 10 Yakubu, Abdul-Aziz 9 Allen, Linda J. S. 9 Tuncer, Necibe 9 van den Driessche, Pauline 8 Banks, Harvey Thomas 8 Huo, Hai-Feng 8 Lenhart, Suzanne M. 7 Chen, Yuming 7 Henson, Shandelle Marie 7 Xiang, Hong 6 Brauer, Fred 6 Gumel, Abba B. 6 Kang, Yun 6 Kuang, Yang 6 Livadiotis, George 6 Stadtländer, Christian T. K.-H. 6 Wang, Jin 5 Castillo-Chavez, Carlos 5 Gyllenberg, Mats 5 Li, Xuezhi 5 Maxin, Daniel 5 Ruan, Shigui 5 Song, Xinyu 5 Tiwari, Pankaj Kumar 5 Wang, Xueying 5 Xu, Rui 4 Chattopadhyay, Joydev 4 De Leenheer, Patrick 4 Feng, Zhilan 4 Gautam, Raju 4 Hadeler, Karl-Peter 4 Hyman, James M. 4 Kwessi, Eddy A. 4 Lutscher, Frithjof 4 Rong, Libin 4 Sacker, Robert J. 4 Sega, Laurentiu 4 Siewe, Nourridine 4 Takeuchi, Yasuhiro 4 Teng, Zhi-dong 4 Thieme, Horst R. 4 Webb, Glenn Francis 4 Yoshioka, Hidekazu 4 Zaman, Gul 3 Alshorman, Areej 3 Assas, Laila M. B. 3 Bai, Meng 3 Barfield, Michael 3 Bronnikova, T. V. 3 Cohen, Yosef 3 Cosner, Chris 3 Deng, Keng 3 Diekmann, Odo 3 Dong, Yueping 3 Eisenberg, Marisa C. 3 Elaiw, Ahmed M. 3 Friedman, Avner 3 Gross, Louis J. 3 Guo, Zhiming 3 Hayward, James L. 3 Hillen, Thomas 3 Holt, Robert D. 3 Hu, Shuhua 3 Huang, Mingzhan 3 Ivanek, Renata 3 Jin, Zhen 3 Kajiwara, Tsuyoshi 3 Khan, Tahir Saeed 3 Kon, Ryusuke 3 Kribs, Christopher M. 3 Lahodny, Glenn E. jun. 3 Liu, Zijian 3 Lou, Yuan 3 Makinde, Oluwole Daniel 3 Manore, Carrie A. 3 Mickens, Ronald Elbert 3 Mohammed-Awel, Jemal 3 Pilyugin, Sergei S. 3 Robertson, Suzanne L. 3 Salceanu, Paul Leonard 3 Sasaki, Toru 3 Schaffer, William Morris 3 Schreiber, Sebastian J. 3 Smith, Hal Leslie 3 Tan, Yuanshun 3 Teklu, Shewafera Wondimagegnhu 3 Tian, Xiaohong 3 Tien, Joseph Hua 3 Veprauskas, Amy 3 Wang, Hao 3 Wang, Jinliang 3 Wang, Xia 3 Xu, Shihe 3 Yang, Jin ...and 1,163 more Authors all top 5 Fields 653 Biology and other natural sciences (92-XX) 238 Ordinary differential equations (34-XX) 89 Partial differential equations (35-XX) 52 Difference and functional equations (39-XX) 49 Dynamical systems and ergodic theory (37-XX) 48 Probability theory and stochastic processes (60-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 42 Calculus of variations and optimal control; optimization (49-XX) 23 Systems theory; control (93-XX) 19 Numerical analysis (65-XX) 16 General and overarching topics; collections (00-XX) 11 Statistics (62-XX) 6 Integral equations (45-XX) 5 History and biography (01-XX) 3 Fluid mechanics (76-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 506 Publications have been cited 5,097 times in 3,942 Documents Cited by ▼ Year ▼ Pattern formation in prey-taxis systems. Zbl 1315.92064 Lee, J. M.; Hillen, T.; Lewis, M. A. 116 2009 Evolution of dispersal in closed advective environments. Zbl 1448.92378 Lam, King-Yeung; Lou, Yuan; Lutscher, Frithjof 86 2015 Dynamics of a delay differential equation model of hepatitis B virus infection. Zbl 1140.92014 Gourley, Stephen A.; Kuang, Yang; Nagy, John D. 84 2008 Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension. Zbl 1452.92010 Liu, Jia; Wang, Zhi-An 80 2012 Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395 Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata 65 2012 Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388 Allen, Linda J. S.; Lahodny, Glenn E. jun. 60 2012 The ideal free distribution as an evolutionarily stable strategy. Zbl 1122.92062 Cantrell, Robert Stephen; Cosner, Chris; Deangelis, Donald L.; Padron, Victor 53 2007 Population models with Allee effect: a new model. Zbl 1342.92166 Elaydi, Saber N.; Sacker, Robert J. 53 2010 Analysis of cholera epidemics with bacterial growth and spatial movement. Zbl 1448.92353 Wang, Xueying; Wang, Jin 52 2015 On several conjectures from evolution of dispersal. Zbl 1444.92132 Averill, Isabel; Lou, Yuan; Munther, Dan 50 2012 Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission. Zbl 1447.92487 Wang, Xia; Tang, Sanyi; Song, Xinyu; Rong, Libin 50 2017 Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260 Yu, Jianshe; Li, Jia 49 2019 Numerical integration of population models satisfying conservation laws: NSFD methods. Zbl 1284.92116 Mickens, Ronald E. 48 2007 On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401 Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R. 44 2012 Modelling releases of sterile mosquitoes with different strategies. Zbl 1448.92220 Li, Jia; Yuan, Zhiling 44 2015 Bioeconomic harvesting of a prey-predator fishery. Zbl 1342.91026 Das, Tapasi; Mukherjee, R. N.; Chaudhuri, K. S. 43 2009 Modelling cholera in periodic environments. Zbl 1448.92330 Posny, Drew; Wang, Jin 43 2014 The transmission dynamic and optimal control of acute and chronic hepatitis B. Zbl 1447.92438 Khan, Tahir; Zaman, Gul; Chohan, M. Ikhlaq 42 2017 A generalized cholera model and epidemic-endemic analysis. Zbl 1447.92485 Wang, Jin; Liao, Shu 42 2012 Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070 Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 41 2011 On existence and uniqueness of the carrying simplex for competitive dynamical systems. Zbl 1152.92026 Hirsch, Morris W. 40 2008 Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206 Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy 39 2009 Dynamics of a mechanistically derived stoichiometric producer-grazer model. Zbl 1402.92372 Wang, Hao; Kuang, Yang; Loladze, Irakli 39 2008 A simple mathematical model for Ebola in Africa. Zbl 1448.92276 Berge, T.; Lubuma, J. M.-S.; Moremedi, G. M.; Morris, N.; Kondera-Shava, R. 37 2017 New revised simple models for interactive wild and sterile mosquito populations and their dynamics. Zbl 1448.92217 Li, Jia 37 2017 Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species. Zbl 1448.92235 Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng 34 2018 A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072 Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre 33 2010 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296 Huang, Mingzhan; Song, Xinyu; Li, Jia 32 2017 Stage-structured wild and sterile mosquito population models and their dynamics. Zbl 1448.92219 Li, Jia; Cai, Liming; Li, Yang 32 2017 A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258 Martcheva, Maia 31 2009 Multiple mixed-type attractors in a competition model. Zbl 1284.92108 Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C. 31 2007 Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275 Cosner, Chris; Dávila, Juan; Martínez, Salomé 31 2012 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039 Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 28 2010 Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. Zbl 1315.92060 Hilker, Frank M. 28 2010 Campus drinking: An epidemiological model. Zbl 1154.92323 Manthey, J. L.; Aidoo, A. Y.; Ward, K. Y. 28 2008 Heterogeneity in multiple transmission pathways: modelling the spread of cholera and other waterborne disease in networks with a common water source. Zbl 1448.92333 Robertson, Suzanne L.; Eisenberg, Marisa C.; Tien, Joseph H. 28 2013 Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025 Benaïm, Michel; Hofbauer, Josef; Sandholm, William H. 27 2008 Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. Zbl 1447.92407 Chitnis, Nakul; Hyman, James M.; Manore, Carrie A. 26 2013 Two models of interfering predators in impulsive biological control. Zbl 1315.92066 Nundloll, S.; Mailleret, L.; Grognard, F. 25 2010 The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287 Wesley, Curtis L.; Allen, Linda J. S. 25 2009 Competition in a turbidostat for an inhibitory nutrient. Zbl 1140.92324 Li, Bingtuan 25 2008 A mathematical model for cell cycle-specific cancer virotherapy. Zbl 1447.92193 Crivelli, Joseph J.; Földes, Juraj; Kim, Peter S.; Wares, Joanna R. 25 2012 Linking immunological and epidemiological dynamics of HIV: the case of super-infection. Zbl 1447.92451 Martcheva, Maia; Li, Xue-Zhi 25 2013 Modelling HIV immune response and validation with clinical data. Zbl 1315.92050 Banks, H. T.; Davidian, M.; Hu, Shuhua; Kepler, Grace M.; Rosenberg, E. S. 24 2008 Dynamics of a plant-herbivore model. Zbl 1140.92322 Kang, Yun; Armbruster, Dieter; Kuang, Yang 24 2008 Differential equations models for interacting wild and transgenic mosquito populations. Zbl 1165.34027 Li, Jia 24 2008 Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Zbl 1447.92405 Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail 24 2020 Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064 Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John 24 2012 Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations. Zbl 1454.92024 Cushing, J. M. 24 2014 The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes. Zbl 1448.92351 Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu 24 2015 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474 Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 23 2019 Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. Zbl 1447.92478 Tuncer, Necibe; Martcheva, Maia 23 2012 Modelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic model. Zbl 1448.92350 Wang, Jinliang; Pang, Jingmei; Liu, Xianning 23 2014 Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493 Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M. 22 2017 Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem. Zbl 1447.92470 Pollicott, Mark; Wang, Hao; Weiss, Howard (Howie) 22 2012 Evolutionary dynamics and strong Allee effects. Zbl 1447.92276 Cushing, J. M.; Hudson, Jarred T. 22 2012 Modelling and control of cholera on networks with a common water source. Zbl 1448.92340 Shuai, Zhisheng; van den Driessche, P. 22 2015 Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition. Zbl 1447.92238 Weedermann, Marion; Seo, Gunog; Wolkowicz, Gail 22 2013 Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022 McCormack, Robert K.; Allen, Linda J. S. 21 2007 Global dynamics and bifurcation analysis of a host-parasitoid model with strong Allee effect. Zbl 1448.92377 Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei 21 2017 Stability analysis of multi-compartment models for cell production systems. Zbl 1447.92126 Nakata, Yukihiko; Getto, Philipp; Marciniak-Czochra, Anna; Alarcón, Tomás 21 2012 Estimating the probability of an extinction or major outbreak for an environmentally transmitted infectious disease. Zbl 1448.92313 Lahodny, Glenn E. jun.; Gautam, R. 21 2015 Modelling effects of public health educational campaigns on drinking dynamics. Zbl 1448.92356 Xiang, Hong; Song, Na-Na; Huo, Hai-Feng 21 2016 The dynamic nature of contact networks in infectious disease epidemiology. Zbl 1342.92225 Bansal, Shweta; Read, Jonathan; Pourbohloul, Babak; Meyers, Lauren Ancel 20 2010 Allee effects and population spread in patchy landscapes. Zbl 1448.92229 Maciel, Gabriel Andreguetto; Lutscher, Frithjof 20 2015 An SIS epidemiology game with two subpopulations. Zbl 1342.92277 Reluga, Timothy C. 19 2009 Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition. Zbl 1342.92214 Yi, Taishan; Chen, Yuming; Wu, Jianhong 19 2009 Dynamics of an HIV-1 therapy model of fighting a virus with another virus. Zbl 1342.92095 Jiang, Xiamei; Yu, Pei; Yuan, Zhaohui; Zou, Xingfu 19 2009 Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs. Zbl 1154.92033 Sharomi, O.; Gumel, A. B. 19 2008 Analysis of HIV models with two time delays. Zbl 1447.92390 Alshorman, Areej; Wang, Xia; Meyer, M. Joseph; Rong, Libin 19 2017 Optimal strategy for controlling the spread of HIV/AIDS disease: a case study of South Africa. Zbl 1447.92498 Yusuf, Tunde T.; Benyah, Francis 19 2012 General Allee effect in two-species population biology. Zbl 1447.92353 Livadiotis, G.; Elaydi, S. 19 2012 A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226 Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E. 19 2015 Spatiotemporal dynamics of two generic predator-prey models. Zbl 1403.92245 Garvie, Marcus R.; Trenchea, C. 19 2010 How flocculation can explain coexistence in the chemostat. Zbl 1140.92320 Haegeman, B.; Rapaport, A. 18 2008 A mathematical model for the dynamics of malaria in mosquitoes feeding on a heterogeneous host population. Zbl 1154.92030 Chitnis, Nakul; Smith, Thomas; Steketee, Richard 18 2008 A mathematical model of malaria transmission in a periodic environment. Zbl 1448.92275 Bakary, Traoré; Boureima, Sangaré; Sado, Traoré 18 2018 Difference equations as models of evolutionary population dynamics. Zbl 1447.92333 Cushing, J. M. 18 2019 On the global stability of a generalized cholera epidemiological model. Zbl 1447.92406 Cheng, Yuanji; Wang, Jin; Yang, Xiuxiang 18 2012 Flu epidemics: a two-strain flu model with a single vaccination. Zbl 1225.92028 Ashrafur Rahman, S. M.; Zou, Xingfu 17 2011 Immune response to a malaria infection: Properties of a mathematical model. Zbl 1140.92013 De Leenheer, Patrick; Pilyugin, Sergei S. 17 2008 Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington-DeAngelis incidence and three delays. Zbl 1447.92455 Miao, Hui; Teng, Zhidong; Abdurahman, Xamxinur 17 2018 Stability and invariant manifolds of a generalized Beddington host-parasitoid model. Zbl 1448.92206 Kapçak, Sinan; Ufuktepe, Ünal; Elaydi, Saber 17 2013 A numerical approach for investigating the stability of equilibria for structured population models. Zbl 1448.92178 Breda, Dimitri; Diekmann, Odo; Maset, Stefano; Vermiglio, Rossana 17 2013 Enhanced modelling of the glucose-insulin system and its applications in insulin therapies. Zbl 1155.92333 Wang, Haiyan; Li, Jiaxu; Kuang, Yang 16 2009 On the Neimark-Sacker bifurcation in a discrete predator-prey system. Zbl 1403.92247 Hone, A. N. W.; Irle, M. V.; Thurura, G. W. 16 2010 Stochasticity in the adaptive dynamics of evolution: the bare bones. Zbl 1403.92180 Klebaner, Fima C.; Sagitov, Serik; Vatutin, Vladimir A.; Haccou, Patsy; Jagers, Peter 16 2011 Disease dynamics in a coupled cholera model linking within-host and between-host interactions. Zbl 1447.92228 Wang, Xueying; Wang, Jin 16 2017 Global behavior of solutions of a periodically forced sigmoid Beverton-Holt model. Zbl 1448.92194 Harry, April J.; Kent, Candace M.; Kocic, Vlajko L. 16 2012 The impact of spatial arrangements on epidemic disease dynamics and intervention strategies. Zbl 1448.92306 Kelly, Michael R. jun.; Tien, Joseph H.; Eisenberg, Marisa C.; Lenhart, Suzanne 16 2016 Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218 Li, Jia; Ai, Shangbing 16 2020 A discrete model of avian influenza with seasonal reproduction and transmission. Zbl 1342.92255 Ma, Xinling; Wang, Wendi 15 2010 ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast. Zbl 1342.92119 Boczko, Erik M.; Gedeon, Tomas; Stowers, Chris C.; Young, Todd R. 15 2010 Derivation of stochastic partial differential equations for size- and age-structured populations. Zbl 1157.60331 Allen, Edward J. 15 2009 On the relationship between \(r\) and \(R_0\) and its role in the bifurcation of stable equilibria of Darwinian matrix models. Zbl 1403.92239 Cushing, J. M. 15 2011 Stability of a binge drinking model with delay. Zbl 1447.92430 Huo, Hai-Feng; Chen, Yong-Lan; Xiang, Hong 15 2017 Stable bifurcations in semelparous Leslie models. Zbl 1447.92335 Cushing, J. M.; Henson, Shandelle M. 15 2012 Dual role of delay effects in a tumour-immune system. Zbl 1447.92111 Yu, Min; Dong, Yueping; Takeuchi, Yasuhiro 15 2017 Competitive exclusion in a vector-host epidemic model with distributed delay. Zbl 1448.92280 Cai, Li-Ming; Martcheva, Maia; Li, Xue-Zhi 15 2013 A stochastic SIR model with contact-tracing: large population limits and statistical inference. Zbl 1315.92075 Clémençon, Stéphan; Tran, Viet Chi; de Arazoza, Hector 14 2008 Hunting cooperation in a prey-predator model with maturation delay. Zbl 1543.92041 Enatsu, Yoichi; Roy, Jyotirmoy; Banerjee, Malay 1 2024 Exploration on dynamics in a discrete predator-prey competitive model involving feedback controls. Zbl 1522.92056 Xu, Changjin; Cui, Xiaohan; Li, Peiluan; Yan, Jinling; Yao, Lingyun 6 2023 Stability analysis of an HIV/AIDS epidemic model with sexual transmission in a patchy environment. Zbl 1522.92082 Zhang, Juping; Ma, Xueyan; Jin, Zhen 2 2023 Threshold dynamics of a stochastic mathematical model for Wolbachia infections. Zbl 1522.92080 Yang, Jin; Chen, Zhuo; Tan, Yuanshun; Liu, Zijian; Cheke, Robert A. 2 2023 Honoring the life and legacy of Fred Brauer. Zbl 1536.01026 Kribs, Christopher M.; van den Driessche, Pauline 1 2023 Dynamical behaviour of an intraguild predator-prey model with prey refuge and hunting cooperation. Zbl 1525.92009 Meng, Xin-You; Feng, Yan 1 2023 Optimal control and cost-effectiveness analysis of age-structured malaria model with asymptomatic carrier and temperature variability. Zbl 1519.92264 Kalula, Asha; Mureithi, Eunice; Marijani, Theresia; Mbalawata, Isambi 1 2023 A mathematical model for the impact of disinfectants on the control of bacterial diseases. Zbl 1519.92120 Gupta, Rabindra Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Misra, Arvind Kumar; Martcheva, Maia 1 2023 Stationary distribution and global stability of stochastic predator-prey model with disease in prey population. Zbl 1518.92124 Gokila, C.; Sambath, M.; Balachandran, K.; Ma, Yong-Ki 1 2023 Modelling the transmission dynamics and optimal control strategies for HIV infection in China. Zbl 1519.92322 Xue, Ling; Sun, Yuanmei; Ren, Xue; Sun, Wei 1 2023 A dynamical analysis and numerical simulation of COVID-19 and HIV/AIDS co-infection with intervention strategies. Zbl 1518.92164 Teklu, Shewafera Wondimagegnhu; Kotola, Belela Samuel 1 2023 Combining impact of velocity, fear and refuge for the predator-prey dynamics. Zbl 1519.92180 Al Amri, Kawkab Abdullah Nabhan; Khan, Qamar J. A. 1 2023 Dynamical questions in volume transmission. Zbl 1527.92007 Cruikshank, Allison; Nijhout, H. Frederik; Best, Janet; Reed, Michael 1 2023 Technique to derive discrete population models with delayed growth. Zbl 1521.92075 Streipert, Sabrina H.; Wolkowicz, Gail S. K. 1 2023 Adaptive delayed reproduction in a 2-dimensional discrete-time competition model. Zbl 1522.92051 Kon, Ryusuke 1 2023 Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios. Zbl 1491.92124 Shi, Yantao; Zheng, Bo 6 2022 Dynamics of an SIRWS model with waning of immunity and varying immune boosting period. Zbl 1498.92239 Opoku-Sarkodie, Richmond; Bartha, Ferenc A.; Polner, Mónika; Röst, Gergely 5 2022 Stability of a fear effect predator-prey model with mutual interference or group defense. Zbl 1497.92202 He, Mengxin; Li, Zhong 4 2022 Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model. Zbl 1491.92137 Yan, Rong; Sun, Qiwen 4 2022 Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling 3 2022 Parameter identifiability and optimal control of an SARS-CoV-2 model early in the pandemic. Zbl 1494.92151 Tuncer, Necibe; Timsina, Archana; Nuno, Miriam; Chowell, Gerardo; Martcheva, Maia 3 2022 The effects of evolution on the stability of competing species. Zbl 1505.92138 Elaydi, S.; Kang, Y.; Luís, R. 3 2022 Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies. Zbl 1498.92118 Teklu, Shewafera Wondimagegnhu 3 2022 Hopf bifurcation in delayed nutrient-microorganism model with network structure. Zbl 1484.92141 Chen, Mengxin; Zheng, Qianqian; Wu, Ranchao; Chen, Liping 2 2022 Bacteria-bacteriophage cycles facilitate Cholera outbreak cycles: an indirect susceptible-infected-recovered-bacteria-phage (iSIRBP) model-based mathematical study. Zbl 1484.92111 Habees, Asma Al; Aldabbas, Eman; Bragazzi, Nicola L.; Kong, Jude D. 2 2022 Modeling malaria transmission in Nepal: Impact of imported cases through cross-border mobility. Zbl 1494.92129 Gautam, Ramesh; Pokharel, Anjana; Adhikari, Khagendra; Uprety, Kedar Nath; Vaidya, Naveen K. 2 2022 Speed determinacy of travelling waves for a three-component lattice Lotka-Volterra competition system. Zbl 1528.92030 Tang, Y.; Pan, C.; Wang, H.; Ouyang, Z. 2 2022 Stability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay. Zbl 1497.92272 Liao, Maoxin; Liu, Yanjin; Liu, Shinan; Meyad, Ali M. 2 2022 The effect of spatial dynamics on the behaviour of an environmentally transmitted disease. Zbl 1486.92232 Hindle, Ivy J.; Forbes, Lawrence K.; Carver, Scott 2 2022 Existence and stability of two periodic solutions for an interactive wild and sterile mosquitoes model. Zbl 1490.92060 Zhu, Zhongcai; Yan, Rong; Feng, Xiaomei 2 2022 Dynamics and control strategy for a delayed viral infection model. Zbl 1484.92139 Zhang, Suxia; Li, Fei; Xu, Xiaxia 1 2022 Dynamic analysis and optimal control of a class of SISP respiratory diseases. Zbl 1483.92147 Shi, Lei; Qi, Longxing 1 2022 A mathematical model for tilapia lake virus transmission with waning immunity. Zbl 1483.92135 Kenne, Cyrille; Zongo, Pascal; Dorville, René 1 2022 Dynamics of autotroph-mixotroph interactions with the intraguild predation structure. Zbl 1491.92091 Chen, Ming; Zhang, Jimin; Ejegul, Satlykova 1 2022 Dynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space. Zbl 1492.92122 Wang, Ning; Zhang, Long; Teng, Zhidong 1 2022 Mathematical modelling of echinococcosis in human, dogs and sheep with intervention. Zbl 1494.92124 Bitew, Birhan Getachew; Munganga, Justin Manango W.; Hassan, Adamu Shitu 1 2022 Dynamics analysis of stage-structured wild and sterile mosquito interaction impulsive model. Zbl 1494.92167 Pang, Yiyou; Wang, Shuai; Liu, Siyu 1 2022 Control analysis of virotherapy chaotic system. Zbl 1497.92115 Iqbal, Javaria; Ahmad, Salman; Marwan, Muhammad; Rafiq, Ayesha 1 2022 Dynamics of a multi-strain malaria model with diffusion in a periodic environment. Zbl 1505.92230 Shi, Yangyang; Zhao, Hongyong; Zhang, Xuebing 1 2022 Deciphering the transmission dynamics of COVID-19 in India: optimal control and cost effective analysis. Zbl 1504.92112 Bajiya, Vijay Pal; Bugalia, Sarita; Tripathi, Jai Prakash; Martcheva, Maia 1 2022 Persistence and extinction of a modified Leslie-Gower Holling-type II two-predator one-prey model with Lévy jumps. Zbl 1486.92158 Gao, Yongxin; Yang, Fan 1 2022 Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. Zbl 1484.92124 Martcheva, Maia; Tuncer, Necibe; Ngonghala, Calistus N. 6 2021 Impulsive release strategies of sterile mosquitos for optimal control of wild population. Zbl 1484.92146 Huang, Mingzhan; You, Lei; Liu, Shouzong; Song, Xinyu 6 2021 A stochastic predator-prey model with Holling II increasing function in the predator. Zbl 1490.92048 Huang, Youlin; Shi, Wanying; Wei, Chunjin; Zhang, Shuwen 5 2021 Complexity of host-vector dynamics in a two-strain dengue model. Zbl 1490.92114 Rashkov, Peter; Kooi, Bob W. 5 2021 Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Zbl 1484.92060 Misra, Arvind Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Martcheva, Maia 5 2021 A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. 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Zbl 1486.92168 Ledder, Glenn; Rebarber, Richard; Pendleton, Terrance; Laubmeier, Amanda N.; Weisbrod, Jonathan 1 2021 Mathematical assessment of the impact of cohort vaccination on pneumococcal carriage and serotype replacement. Zbl 1484.92059 Malik, Tufail M.; Mohammed-Awel, Jemal; Gumel, Abba B.; Elbasha, Elamin H. 1 2021 On the basic reproduction number in semi-Markov switching networks. Zbl 1483.92124 Cao, Xiaochun; Jin, Zhen; Liu, Guirong; Li, Michael Y. 1 2021 A continuous-time mathematical model and discrete approximations for the aggregation of \(\beta \)-amyloid. Zbl 1484.92018 Ackleh, Azmy S.; Elaydi, Saber; Livadiotis, George; Veprauskas, Amy 1 2021 Modelling homosexual and heterosexual transmissions of hepatitis B virus in China. Zbl 1484.92123 Lu, Min; Shu, Yaqin; Huang, Jicai; Ruan, Shigui; Zhang, Xinan; Zou, Lan 1 2021 A discrete-time risk-structured model of cholera infections in Cameroon. Zbl 1484.92102 Che, Eric; Yakubu, Abdul-Aziz 1 2021 On the reproduction number in epidemics. Zbl 1484.92095 Batista, Milan 1 2021 Nutritional regulation influencing colony dynamics and task allocations in social insect colonies. Zbl 1492.92141 Rao, Feng; Rodriguez Messan, Marisabel; Marquez, Angelica; Smith, Nathan; Kang, Yun 1 2021 A stage-structured population model for activity-dependent dendritic spines. Zbl 1494.92038 Rouhani, Morteza; Baer, Steven M.; Crook, Sharon M. 1 2021 Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Zbl 1447.92405 Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail 24 2020 Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218 Li, Jia; Ai, Shangbing 16 2020 Modelling malaria dynamics with partial immunity and protected travellers: optimal control and cost-effectiveness analysis. Zbl 1447.92467 Olaniyi, S.; Okosun, K. O.; Adesanya, S. 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Zbl 1447.92477 Thibodeaux, Jeremy J.; Nuñez, Daniel; Rivera, Andres 4 2020 A comparative analysis of host-parasitoid models with density dependence preceding parasitism. Zbl 1448.92231 Marcinko, Kelsey; Kot, Mark 4 2020 Backward bifurcation in a malaria transmission model. Zbl 1447.92492 Xing, Yanyuan; Guo, Zhiming; Liu, Jian 4 2020 Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise. Zbl 1447.92371 Tuerxun, Nafeisha; Abdurahman, Xamxinur; Teng, Zhidong 3 2020 Onchocerciasis dynamics: modelling the effects of treatment, education and vector control. Zbl 1447.92221 Hassan, Asha; Shaban, Nyimvua 3 2020 Age structured discrete-time disease models with demographic population cycles. Zbl 1447.92482 van den Driessche, P.; Yakubu, Abdul-Aziz 2 2020 Global stability analysis for a model with carriers and non-linear incidence rate. Zbl 1448.92282 Cerón Gómez, Miller; Ibarguen Mondragon, Eduardo; Lopez Molano, Patricia 2 2020 Balance simplices of 3-species May-Leonard systems. Zbl 1448.92167 Baigent, Stephen; Ching, Atheeta 1 2020 Dynamical analysis on a predator-prey model with stage structure and mutual interference. Zbl 1447.92382 Zhang, Xinzhe; Huang, Gang; Dong, Yueping 1 2020 Chaotic attractors in Atkinson-Allen model of four competing species. Zbl 1447.92340 Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 1 2020 Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260 Yu, Jianshe; Li, Jia 49 2019 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474 Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 23 2019 Difference equations as models of evolutionary population dynamics. Zbl 1447.92333 Cushing, J. M. 18 2019 Mathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis. Zbl 1447.92224 Nkamba, Leontine Nkague; Manga, Thomas Timothee; Agouanet, Franklin; Manyombe, Martin Luther Mann 14 2019 Weather-driven malaria transmission model with gonotrophic and sporogonic cycles. Zbl 1447.92466 Okuneye, Kamaldeen; Eikenberry, Steffen E.; Gumel, Abba B. 14 2019 Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449 Martcheva, Maia 13 2019 Influence of non-homogeneous mixing on final epidemic size in a meta-population model. Zbl 1447.92410 Cui, Jingan; Zhang, Yanan; Feng, Zhilan 13 2019 A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity. Zbl 1448.92388 Yoshioka, Hidekazu 11 2019 ...and 406 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,692 Authors 41 Wang, Hao 37 Yu, Jian-She 34 Wang, Jin 33 Huo, Hai-Feng 30 Lou, Yuan 29 Kang, Yun 29 Li, Jia 28 Wang, Xueying 27 Martcheva, Maia 27 Teng, Zhi-dong 26 Ackleh, Azmy S. 26 Banks, Harvey Thomas 25 Wang, Jinliang 24 Elaydi, Saber Nasr 24 Jang, Sophia R.-J. 24 Rong, Libin 21 Chen, Yuming 21 Cushing, Jim M. 21 Kuang, Yang 21 Zaman, Gul 20 Allen, Linda J. 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