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: 645 Publications (since 2007) References Indexed: 627 Publications with 21,690 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 26 Martcheva, Maia 17 Cushing, Jim M. 14 Ackleh, Azmy S. 12 Elaydi, Saber Nasr 12 Li, Jia 10 Jang, Sophia R.-J. 10 Yakubu, Abdul-Aziz 9 Allen, Linda J. S. 8 Banks, Harvey Thomas 8 Huo, Hai-Feng 8 Tuncer, Necibe 8 van den Driessche, Pauline 7 Chen, Yuming 7 Lenhart, Suzanne M. 7 Xiang, Hong 6 Brauer, Fred 6 Henson, Shandelle Marie 6 Kuang, Yang 6 Livadiotis, George 6 Stadtländer, Christian T. K.-H. 6 Wang, Jin 5 Castillo-Chavez, Carlos 5 Gumel, Abba B. 5 Gyllenberg, Mats 5 Kang, Yun 5 Li, Xuezhi 5 Maxin, Daniel 5 Ruan, Shigui 5 Song, Xinyu 5 Wang, Xueying 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 Tiwari, Pankaj Kumar 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 Lahodny, Glenn E. jun. 3 Lou, Yuan 3 Makinde, Oluwole Daniel 3 Manore, Carrie A. 3 Mickens, Ronald Elbert 3 Mohammed-Awel, Jemal 3 Pilyugin, Sergei S. 3 Salceanu, Paul Leonard 3 Sasaki, Toru 3 Schaffer, William Morris 3 Schreiber, Sebastian J. 3 Smith, Hal Leslie 3 Tian, Xiaohong 3 Tien, Joseph Hua 3 Veprauskas, Amy 3 Wang, Hao 3 Wang, Jinliang 3 Wang, Xia 3 Xu, Rui 3 Xu, Shihe 3 Yang, Junyuan 3 Young, Todd R. 3 Zhang, Xinan 3 Zou, Xingfu 2 Abdurahman, Xamxinur 2 Adachi-Yamada, Takashi ...and 1,113 more Authors all top 5 Fields 640 Biology and other natural sciences (92-XX) 232 Ordinary differential equations (34-XX) 82 Partial differential equations (35-XX) 52 Difference and functional equations (39-XX) 50 Dynamical systems and ergodic theory (37-XX) 48 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 47 Probability theory and stochastic processes (60-XX) 39 Calculus of variations and optimal control; optimization (49-XX) 23 Systems theory; control (93-XX) 20 Numerical analysis (65-XX) 16 General and overarching topics; collections (00-XX) 11 Statistics (62-XX) 6 Integral equations (45-XX) 4 History and biography (01-XX) 3 Fluid mechanics (76-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 Integral transforms, operational calculus (44-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 471 Publications have been cited 3,985 times in 3,172 Documents Cited by ▼ Year ▼ Pattern formation in prey-taxis systems. Zbl 1315.92064 Lee, J. M.; Hillen, T.; Lewis, M. A. 102 2009 Dynamics of a delay differential equation model of hepatitis B virus infection. Zbl 1140.92014 Gourley, Stephen A.; Kuang, Yang; Nagy, John D. 75 2008 Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension. Zbl 1452.92010 Liu, Jia; Wang, Zhi-An 62 2012 Evolution of dispersal in closed advective environments. Zbl 1448.92378 Lam, King-Yeung; Lou, Yuan; Lutscher, Frithjof 62 2015 The ideal free distribution as an evolutionarily stable strategy. Zbl 1122.92062 Cantrell, Robert Stephen; Cosner, Chris; Deangelis, Donald L.; Padron, Victor 50 2007 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 48 2012 Population models with Allee effect: a new model. Zbl 1342.92166 Elaydi, Saber N.; Sacker, Robert J. 47 2010 Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388 Allen, Linda J. S.; Lahodny, Glenn E. jun. 44 2012 Numerical integration of population models satisfying conservation laws: NSFD methods. Zbl 1284.92116 Mickens, Ronald E. 43 2007 Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260 Yu, Jianshe; Li, Jia 40 2019 Analysis of cholera epidemics with bacterial growth and spatial movement. Zbl 1448.92353 Wang, Xueying; Wang, Jin 40 2015 On several conjectures from evolution of dispersal. Zbl 1444.92132 Averill, Isabel; Lou, Yuan; Munther, Dan 39 2012 The transmission dynamic and optimal control of acute and chronic hepatitis B. Zbl 1447.92438 Khan, Tahir; Zaman, Gul; Chohan, M. Ikhlaq 37 2017 Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206 Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy 36 2009 Bioeconomic harvesting of a prey-predator fishery. Zbl 1342.91026 Das, Tapasi; Mukherjee, R. N.; Chaudhuri, K. S. 36 2009 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 36 2017 On existence and uniqueness of the carrying simplex for competitive dynamical systems. Zbl 1152.92026 Hirsch, Morris W. 34 2008 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. 33 2012 A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072 Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre 32 2010 Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070 Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 32 2011 Dynamics of a mechanistically derived stoichiometric producer-grazer model. Zbl 1402.92372 Wang, Hao; Kuang, Yang; Loladze, Irakli 32 2008 Multiple mixed-type attractors in a competition model. Zbl 1284.92108 Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C. 30 2007 Modelling cholera in periodic environments. Zbl 1448.92330 Posny, Drew; Wang, Jin 30 2014 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296 Huang, Mingzhan; Song, Xinyu; Li, Jia 29 2017 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 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. 28 2017 Modelling releases of sterile mosquitoes with different strategies. Zbl 1448.92220 Li, Jia; Yuan, Zhiling 28 2015 A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258 Martcheva, Maia 27 2009 New revised simple models for interactive wild and sterile mosquito populations and their dynamics. Zbl 1448.92217 Li, Jia 27 2017 A generalized cholera model and epidemic-endemic analysis. Zbl 1447.92485 Wang, Jin; Liao, Shu 27 2012 Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025 Benaïm, Michel; Hofbauer, Josef; Sandholm, William H. 26 2008 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 26 2018 Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275 Cosner, Chris; Dávila, Juan; Martínez, Salomé 25 2012 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 Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. Zbl 1315.92060 Hilker, Frank M. 24 2010 Two models of interfering predators in impulsive biological control. Zbl 1315.92066 Nundloll, S.; Mailleret, L.; Grognard, F. 24 2010 Differential equations models for interacting wild and transgenic mosquito populations. Zbl 1165.34027 Li, Jia 24 2008 Campus drinking: An epidemiological model. Zbl 1154.92323 Manthey, J. L.; Aidoo, A. Y.; Ward, K. Y. 24 2008 Stage-structured wild and sterile mosquito population models and their dynamics. Zbl 1448.92219 Li, Jia; Cai, Liming; Li, Yang 24 2017 The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287 Wesley, Curtis L.; Allen, Linda J. S. 23 2009 Dynamics of a plant-herbivore model. Zbl 1140.92322 Kang, Yun; Armbruster, Dieter; Kuang, Yang 22 2008 Competition in a turbidostat for an inhibitory nutrient. Zbl 1140.92324 Li, Bingtuan 22 2008 Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. Zbl 1447.92478 Tuncer, Necibe; Martcheva, Maia 20 2012 A mathematical model for cell cycle-specific cancer virotherapy. Zbl 1447.92193 Crivelli, Joseph J.; Földes, Juraj; Kim, Peter S.; Wares, Joanna R. 19 2012 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) 19 2012 Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. Zbl 1447.92407 Chitnis, Nakul; Hyman, James M.; Manore, Carrie A. 19 2013 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 18 2009 Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022 McCormack, Robert K.; Allen, Linda J. S. 18 2007 Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493 Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M. 18 2017 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474 Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 18 2019 Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition. Zbl 1447.92238 Weedermann, Marion; Seo, Gunog; Wolkowicz, Gail 18 2013 The dynamic nature of contact networks in infectious disease epidemiology. Zbl 1342.92225 Bansal, Shweta; Read, Jonathan; Pourbohloul, Babak; Meyers, Lauren Ancel 17 2010 Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs. Zbl 1154.92033 Sharomi, O.; Gumel, A. B. 17 2008 Immune response to a malaria infection: Properties of a mathematical model. Zbl 1140.92013 De Leenheer, Patrick; Pilyugin, Sergei S. 17 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 17 2020 Stability analysis of multi-compartment models for cell production systems. Zbl 1447.92126 Nakata, Yukihiko; Getto, Philipp; Marciniak-Czochra, Anna; Alarcón, Tomás 17 2012 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 17 2012 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 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 16 2008 Enhanced modelling of the glucose-insulin system and its applications in insulin therapies. Zbl 1155.92333 Wang, Haiyan; Li, Jiaxu; Kuang, Yang 16 2009 How flocculation can explain coexistence in the chemostat. Zbl 1140.92320 Haegeman, B.; Rapaport, A. 16 2008 A mathematical model of malaria transmission in a periodic environment. Zbl 1448.92275 Bakary, Traoré; Boureima, Sangaré; Sado, Traoré 16 2018 Modelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic model. Zbl 1448.92350 Wang, Jinliang; Pang, Jingmei; Liu, Xianning 16 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 16 2015 Modelling and control of cholera on networks with a common water source. Zbl 1448.92340 Shuai, Zhisheng; van den Driessche, P. 16 2015 Estimating the probability of an extinction or major outbreak for an environmentally transmitted infectious disease. Zbl 1448.92313 Lahodny, Glenn E. jun.; Gautam, R. 16 2015 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 Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition. Zbl 1342.92214 Yi, Taishan; Chen, Yuming; Wu, Jianhong 15 2009 An SIS epidemiology game with two subpopulations. Zbl 1342.92277 Reluga, Timothy C. 15 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. 15 2010 Derivation of stochastic partial differential equations for size- and age-structured populations. Zbl 1157.60331 Allen, Edward J. 15 2009 Analysis of HIV models with two time delays. Zbl 1447.92390 Alshorman, Areej; Wang, Xia; Meyer, M. Joseph; Rong, Libin 15 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 15 2012 Flu epidemics: a two-strain flu model with a single vaccination. Zbl 1225.92028 Ashrafur Rahman, S. M.; Zou, Xingfu 14 2011 Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029 Brauer, Fred 14 2011 Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218 Li, Jia; Ai, Shangbing 14 2020 On the global stability of a generalized cholera epidemiological model. Zbl 1447.92406 Cheng, Yuanji; Wang, Jin; Yang, Xiuxiang 14 2012 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. 14 2013 A discrete model of avian influenza with seasonal reproduction and transmission. Zbl 1342.92255 Ma, Xinling; Wang, Wendi 13 2010 A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host. Zbl 1315.92076 Ducrot, A.; Sirima, S. B.; Somé, B.; Zongo, P. 13 2009 Global dynamics of a staged-progression model with amelioration for infectious diseases. Zbl 1140.92020 Guo, Hongbin; Li, Michael Y. 13 2008 A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226 Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E. 13 2015 Allee effects and population spread in patchy landscapes. Zbl 1448.92229 Maciel, Gabriel Andreguetto; Lutscher, Frithjof 13 2015 Modelling effects of public health educational campaigns on drinking dynamics. Zbl 1448.92356 Xiang, Hong; Song, Na-Na; Huo, Hai-Feng 13 2016 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 13 2016 Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232 Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz 12 2009 A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100 Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline 12 2007 Optimal control applied to native-invasive population dynamics. Zbl 1284.92114 Kern, Daniel L.; Lenhart, Suzanne; Miller, Rachael; Yong, Jiongmin 12 2007 Spatiotemporal dynamics of two generic predator-prey models. Zbl 1403.92245 Garvie, Marcus R.; Trenchea, C. 12 2010 A simple fitness proxy for structured populations with continuous traits, with case studies on the evolution of haplo-diploids and genetic dimorphisms. Zbl 1403.92182 Metz, J. A. J.; Leimar, Olof 12 2011 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. 12 2011 A stochastic SIR model with contact-tracing: large population limits and statistical inference. Zbl 1315.92075 Clémençon, Stéphan; Tran, Viet Chi; de Arazoza, Hector 12 2008 Discrete three-stage population model: persistence and global stability results. Zbl 1315.92057 Ackleh, Azmy S.; De Leenheer, Patrick 12 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 12 2018 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. O.; Lebelo, R. S. 12 2020 Dual role of delay effects in a tumour-immune system. Zbl 1447.92111 Yu, Min; Dong, Yueping; Takeuchi, Yasuhiro 12 2017 Modelling and optimal control of pneumonia disease with cost-effective strategies. Zbl 1447.92227 Tilahun, Getachew Teshome; Makinde, Oluwole Daniel; Malonza, David 12 2017 Propagation of Turing patterns in a plankton model. Zbl 1447.92542 Upadhyay, R. K.; Volpert, V.; Thakur, N. K. 12 2012 Evolutionary dynamics and strong Allee effects. Zbl 1447.92276 Cushing, J. M.; Hudson, Jarred T. 12 2012 Linking immunological and epidemiological dynamics of HIV: the case of super-infection. Zbl 1447.92451 Martcheva, Maia; Li, Xue-Zhi 12 2013 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 2 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 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 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 Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios. Zbl 1491.92124 Shi, Yantao; Zheng, Bo 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 Stability of a fear effect predator-prey model with mutual interference or group defense. Zbl 1497.92202 He, Mengxin; Li, Zhong 2 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 2 2022 Mathematical analysis of the transmission dynamics of COVID-19 infection in the presence of intervention strategies. Zbl 1498.92118 Teklu, Shewafera Wondimagegnhu 2 2022 Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model. Zbl 1491.92137 Yan, Rong; Sun, Qiwen 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 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 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. 1 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 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 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. 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 Impulsive release strategies of sterile mosquitos for optimal control of wild population. Zbl 1484.92146 Huang, Mingzhan; You, Lei; Liu, Shouzong; Song, Xinyu 5 2021 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. 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 4 2021 A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. Zbl 1484.92081 Sk, Nazmul; Tiwari, Pankaj Kumar; Pal, Samares; Martcheva, Maia 4 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 3 2021 SARS-CoV-2 and self-medication in Cameroon: a mathematical model. Zbl 1484.92057 Kong, Jude D.; Tchuendom, Rinel F.; Adeleye, Samuel A.; David, Jummy F.; Admasu, Fikreab Solomon; Bakare, Emmanuel A.; Siewe, Nourridine 3 2021 Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue. Zbl 1489.92157 Hu, Xinli; Li, Jianquan; Feng, Xiaomei 2 2021 Complexity of host-vector dynamics in a two-strain dengue model. Zbl 1490.92114 Rashkov, Peter; Kooi, Bob W. 2 2021 Transmission rates and environmental reservoirs for COVID-19 – a modeling study. Zbl 1484.92138 Yang, Chayu; Wang, Jin 2 2021 Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response. Zbl 1484.92125 Ma, Xinsheng; Zhang, Yuhuai; Chen, Yuming 2 2021 Determining reliable parameter estimates for within-host and within-vector models of Zika virus. Zbl 1484.92135 Tuncer, Necibe; Martcheva, Maia 2 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 Parameter estimation from ICC curves. Zbl 1484.92121 Lega, Joceline 1 2021 Long-term transmission dynamics of tick-borne diseases involving seasonal variation and co-feeding transmission. Zbl 1484.92126 Nah, Kyeongah; Wu, Jianhong 1 2021 Contrasting stoichiometric dynamics in terrestrial and aquatic grazer-producer systems. Zbl 1484.92142 Davies, Colleen M.; Wang, Hao 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 A discrete/continuous time resource competition model and its implications. Zbl 1486.92168 Ledder, Glenn; Rebarber, Richard; Pendleton, Terrance; Laubmeier, Amanda N.; Weisbrod, Jonathan 1 2021 A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies. Zbl 1484.92066 Cushing, J. M. 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 Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Zbl 1447.92405 Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail 17 2020 Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218 Li, Jia; Ai, Shangbing 14 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. O.; Lebelo, R. S. 12 2020 Optimal control strategies for the transmission risk of COVID-19. Zbl 1447.92465 Obsu, Legesse Lemecha; Balcha, Shiferaw Feyissa 10 2020 Stability of a certain class of a host-parasitoid models with a spatial refuge effect. Zbl 1448.92174 Bešo, E.; Kalabušić, S.; Mujić, N.; Pilav, E. 9 2020 The role of asymptomatic class, quarantine and isolation in the transmission of COVID-19. Zbl 1447.92387 Ali, Mohsin; Shah, Syed Touqeer H.; Imran, Mudassar; Khan, Adnan 8 2020 A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. Zbl 1447.92450 Martcheva, Maia; Inaba, Hisashi 8 2020 Stability analysis in a mosquito population suppression model. Zbl 1447.92349 Lin, Genghong; Hui, Yuanxian 8 2020 Bistable wave speed of the Lotka-Volterra competition model. Zbl 1448.92230 Ma, Manjun; Zhang, Qiming; Yue, Jiajun; Ou, Chunhua 7 2020 Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response. Zbl 1448.92166 Bai, Dingyong; Li, Jinshui; Zeng, Wenrui 5 2020 A generalized within-host model of dengue infection with a non-constant monocyte production rate. Zbl 1447.92477 Thibodeaux, Jeremy J.; Nuñez, Daniel; Rivera, Andres 4 2020 Asymptotic analysis of a vector-borne disease model with the age of infection. Zbl 1447.92486 Wang, Xia; Chen, Yuming; Martcheva, Maia; Rong, Libin 4 2020 Discrete evolutionary population models: a new approach. Zbl 1442.92106 Mokni, Karima; Elaydi, Saber; Ch-Chaoui, Mohamed; Eladdadi, Amina 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 Coinfection dynamics of heroin transmission and HIV infection in a single population. Zbl 1447.92415 Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 3 2020 The competition model with Holling type II competitive response to interfering time. Zbl 1448.92181 Castillo-Alvino, Hamlet; Marvá, Marcos 3 2020 Backward bifurcation in a malaria transmission model. Zbl 1447.92492 Xing, Yanyuan; Guo, Zhiming; Liu, Jian 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 A comparative analysis of host-parasitoid models with density dependence preceding parasitism. Zbl 1448.92231 Marcinko, Kelsey; Kot, Mark 2 2020 A Wolbachia infection model with free boundary. Zbl 1447.92447 Liu, Yunfeng; Guo, Zhiming; El Smaily, Mohammad; Wang, Lin 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 Age structured discrete-time disease models with demographic population cycles. Zbl 1447.92482 van den Driessche, P.; Yakubu, Abdul-Aziz 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 40 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 18 2019 Difference equations as models of evolutionary population dynamics. Zbl 1447.92333 Cushing, J. M. 11 2019 Influence of non-homogeneous mixing on final epidemic size in a meta-population model. Zbl 1447.92410 Cui, Jingan; Zhang, Yanan; Feng, Zhilan 11 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 10 2019 Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449 Martcheva, Maia 10 2019 Bifurcation analysis for a delayed SEIR epidemic model with saturated incidence and saturated treatment function. Zbl 1447.92445 Liu, Juan 9 2019 A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity. Zbl 1448.92388 Yoshioka, Hidekazu 8 2019 Cooperative hunting in a discrete predator-prey system. II. Zbl 1441.92031 Chow, Yunshyong; Jang, Sophia R.-J.; Wang, Hua-Ming 8 2019 Weather-driven malaria transmission model with gonotrophic and sporogonic cycles. Zbl 1447.92466 Okuneye, Kamaldeen; Eikenberry, Steffen E.; Gumel, Abba B. 8 2019 Optimal control of a vectored plant disease model for a crop with continuous replanting. Zbl 1447.92552 Bokil, V. A.; Allen, L. J. S.; Jeger, M. J.; Lenhart, S. 8 2019 Bifurcation analysis and chaos control for a plant-herbivore model with weak predator functional response. Zbl 1448.92371 Din, Qamar; Shabbir, M. Sajjad; Khan, M. Asif; Ahmad, Khalil 7 2019 Early estimates of epidemic final sizes. Zbl 1447.92399 Brauer, Fred 7 2019 A stochastic model for the transmission dynamics of hepatitis B virus. Zbl 1448.92309 Khan, Tahir; Jung, Ii Hyo; Zaman, Gul 6 2019 Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects. Zbl 1448.92098 Guo, Yuxiao; Niu, Ben; Tian, Jianjun Paul 6 2019 The effect of delay in viral production in within-host models during early infection. Zbl 1447.92393 Bai, Fan; Huff, Krystin E. S.; Allen, Linda J. S. 6 2019 Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls. Zbl 1448.92256 Xu, Changjin; Li, Peiluan; Guo, Ying 5 2019 Modeling the seasonality of Methicillin-resistant Staphylococcus aureus infections in hospitals with environmental contamination. Zbl 1447.92429 Huang, Qimin; Huo, Xi; Miller, Darlene; Ruan, Shigui 5 2019 Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number. Zbl 1447.92489 Wu, Chunqing; Wong, Patricia J. Y. 4 2019 Dynamical behaviour of a Lotka-Volterra competitive-competitive-cooperative model with feedback controls and time delays. Zbl 1447.92545 Wang, Changyou; Li, Linrui; Zhang, Qiuyan; Li, Rui 4 2019 Hopf bifurcation of an age-structured HIV infection model with logistic target-cell growth. Zbl 1447.92426 Guo, Zhong-Kai; Huo, Hai-Feng; Xiang, Hong 4 2019 Optimal control of a delayed smoking model with immigration. Zbl 1447.92476 Sun, Caixia; Jia, Jianwen 4 2019 Global dynamics of an age-structured cholera model with multiple transmissions, saturation incidence and imperfect vaccination. Zbl 1447.92444 Lin, Jiazhe; Xu, Rui; Tian, Xiaohong 3 2019 Dynamical analysis of an integrated pest management predator-prey model with weak Allee effect. Zbl 1447.92560 Yu, Tingting; Tian, Yuan; Guo, Hongjian; Song, Xinyu 3 2019 Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection. Zbl 1448.92359 Xu, Rui; Yang, Junyuan; Tian, Xiaohong; Lin, Jiazhe 3 2019 The balance simplex in non-competitive 2-species scaled Lotka-Volterra systems. Zbl 1447.92331 Ching, Atheeta; Baigent, Stephen 2 2019 Consumer-resource coexistence as a means of reducing infectious disease. Zbl 1447.92416 Duffy, Kevin J.; Collins, Obiora C. 2 2019 Modelling the dynamics of direct and pathogens-induced dysentery diarrhoea epidemic with controls. Zbl 1447.92398 Berhe, Hailay Weldegiorgis; Makinde, Oluwole Daniel; Theuri, David Mwangi 2 2019 Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251 Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M. 2 2019 Global stability of discrete virus dynamics models with humoural immunity and latency. Zbl 1448.92286 Elaiw, A. M.; Alshaikh, M. A. 2 2019 Contributions to nonstationary community theory. Zbl 1447.92330 Chesson, Peter 2 2019 Demographic population cycles and \(\mathcal{R}_0\) in discrete-time epidemic models. Zbl 1447.92481 van den Driessche, P.; Yakubu, Abdul-Aziz 2 2019 Stochastic models in seed dispersals: random walks and birth-death processes. Zbl 1447.92503 Abdullahi, A.; Shohaimi, S.; Kilicman, A.; Ibrahim, M. H. 1 2019 ...and 371 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,832 Authors 35 Wang, Hao 27 Yu, Jian-She 26 Wang, Jin 25 Kang, Yun 25 Li, Jia 25 Lou, Yuan 24 Banks, Harvey Thomas 24 Huo, Hai-Feng 22 Ackleh, Azmy S. 22 Jang, Sophia R.-J. 20 Elaydi, Saber Nasr 20 Martcheva, Maia 20 Teng, Zhi-dong 19 Jin, Zhen 19 Ruan, Shigui 19 Wang, Jinliang 19 Wang, Xueying 18 Kuang, Yang 18 Rong, Libin 17 Cushing, Jim M. 17 Gyllenberg, Mats 17 Schreiber, Sebastian J. 17 Yakubu, Abdul-Aziz 16 Allen, Linda J. 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