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: 621 Publications (since 2007) References Indexed: 605 Publications with 20,775 References. all top 5 Latest Issues 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 Wang, Jin 7 Xiang, Hong 6 Brauer, Fred 6 Henson, Shandelle Marie 6 Kuang, Yang 6 Livadiotis, George 6 Stadtländer, Christian T. K.-H. 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 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 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 Siewe, Nourridine 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 2 Adhikari, Khagendra ...and 1,088 more Authors all top 5 Fields 618 Biology and other natural sciences (92-XX) 222 Ordinary differential equations (34-XX) 80 Partial differential equations (35-XX) 47 Dynamical systems and ergodic theory (37-XX) 47 Difference and functional equations (39-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Probability theory and stochastic processes (60-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 23 Systems theory; control (93-XX) 19 Numerical analysis (65-XX) 15 General and overarching topics; collections (00-XX) 11 Statistics (62-XX) 6 Integral equations (45-XX) 3 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 450 Publications have been cited 3,619 times in 2,900 Documents Cited by ▼ Year ▼ Pattern formation in prey-taxis systems. Zbl 1315.92064Lee, J. M.; Hillen, T.; Lewis, M. A. 87 2009 Dynamics of a delay differential equation model of hepatitis B virus infection. Zbl 1140.92014Gourley, Stephen A.; Kuang, Yang; Nagy, John D. 69 2008 Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension. Zbl 1452.92010Liu, Jia; Wang, Zhi-An 60 2012 Evolution of dispersal in closed advective environments. Zbl 1448.92378Lam, King-Yeung; Lou, Yuan; Lutscher, Frithjof 51 2015 The ideal free distribution as an evolutionarily stable strategy. Zbl 1122.92062Cantrell, Robert Stephen; Cosner, Chris; Deangelis, Donald L.; Padron, Victor 50 2007 Population models with Allee effect: a new model. Zbl 1342.92166Elaydi, Saber N.; Sacker, Robert J. 45 2010 Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata 43 2012 Numerical integration of population models satisfying conservation laws: NSFD methods. Zbl 1284.92116Mickens, Ronald E. 42 2007 Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388Allen, Linda J. S.; Lahodny, Glenn E. jun. 37 2012 Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy 36 2009 On several conjectures from evolution of dispersal. Zbl 1444.92132Averill, Isabel; Lou, Yuan; Munther, Dan 36 2012 Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission. Zbl 1447.92487Wang, Xia; Tang, Sanyi; Song, Xinyu; Rong, Libin 35 2017 On existence and uniqueness of the carrying simplex for competitive dynamical systems. Zbl 1152.92026Hirsch, Morris W. 34 2008 Analysis of cholera epidemics with bacterial growth and spatial movement. Zbl 1448.92353Wang, Xueying; Wang, Jin 34 2015 Bioeconomic harvesting of a prey-predator fishery. Zbl 1342.91026Das, Tapasi; Mukherjee, R. N.; Chaudhuri, K. S. 33 2009 The transmission dynamic and optimal control of acute and chronic hepatitis B. Zbl 1447.92438Khan, Tahir; Zaman, Gul; Chohan, M. Ikhlaq 33 2017 Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070Luís, Rafael; Elaydi, Saber; Oliveira, Henrique 32 2011 Dynamics of a mechanistically derived stoichiometric producer-grazer model. Zbl 1402.92372Wang, Hao; Kuang, Yang; Loladze, Irakli 31 2008 Multiple mixed-type attractors in a competition model. Zbl 1284.92108Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C. 30 2007 A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre 30 2010 Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260Yu, Jianshe; Li, Jia 29 2019 On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R. 29 2012 Modelling cholera in periodic environments. Zbl 1448.92330Posny, Drew; Wang, Jin 28 2014 A simple mathematical model for Ebola in Africa. Zbl 1448.92276Berge, T.; Lubuma, J. M.-S.; Moremedi, G. M.; Morris, N.; Kondera-Shava, R. 27 2017 Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B. 26 2010 A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258Martcheva, Maia 25 2009 Modelling HIV immune response and validation with clinical data. Zbl 1315.92050Banks, H. T.; Davidian, M.; Hu, Shuhua; Kepler, Grace M.; Rosenberg, E. S. 24 2008 Two models of interfering predators in impulsive biological control. Zbl 1315.92066Nundloll, S.; Mailleret, L.; Grognard, F. 24 2010 Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296Huang, Mingzhan; Song, Xinyu; Li, Jia 24 2017 Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species. Zbl 1448.92235Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng 24 2018 New revised simple models for interactive wild and sterile mosquito populations and their dynamics. Zbl 1448.92217Li, Jia 24 2017 Modelling releases of sterile mosquitoes with different strategies. Zbl 1448.92220Li, Jia; Yuan, Zhiling 24 2015 Campus drinking: An epidemiological model. Zbl 1154.92323Manthey, J. L.; Aidoo, A. Y.; Ward, K. Y. 23 2008 Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275Cosner, Chris; Dávila, Juan; Martínez, Salomé 23 2012 A generalized cholera model and epidemic-endemic analysis. Zbl 1447.92485Wang, Jin; Liao, Shu 23 2012 Differential equations models for interacting wild and transgenic mosquito populations. Zbl 1165.34027Li, Jia 22 2008 Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025Benaïm, Michel; Hofbauer, Josef; Sandholm, William H. 22 2008 The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287Wesley, Curtis L.; Allen, Linda J. S. 22 2009 Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. Zbl 1315.92060Hilker, Frank M. 22 2010 Stage-structured wild and sterile mosquito population models and their dynamics. Zbl 1448.92219Li, Jia; Cai, Liming; Li, Yang 22 2017 Competition in a turbidostat for an inhibitory nutrient. Zbl 1140.92324Li, Bingtuan 21 2008 Dynamics of a plant-herbivore model. Zbl 1140.92322Kang, Yun; Armbruster, Dieter; Kuang, Yang 20 2008 Analytical and numerical approaches to coexistence of strains in a two-strain SIS model with diffusion. Zbl 1447.92478Tuncer, Necibe; Martcheva, Maia 20 2012 A mathematical model for cell cycle-specific cancer virotherapy. Zbl 1447.92193Crivelli, Joseph J.; Földes, Juraj; Kim, Peter S.; Wares, Joanna R. 19 2012 Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022McCormack, Robert K.; Allen, Linda J. S. 18 2007 Dynamics of an HIV-1 therapy model of fighting a virus with another virus. Zbl 1342.92095Jiang, Xiamei; Yu, Pei; Yuan, Zhaohui; Zou, Xingfu 18 2009 Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M. 18 2017 Extracting the time-dependent transmission rate from infection data via solution of an inverse ODE problem. Zbl 1447.92470Pollicott, Mark; Wang, Hao; Weiss, Howard (Howie) 18 2012 Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. Zbl 1447.92407Chitnis, Nakul; Hyman, James M.; Manore, Carrie A. 18 2013 Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs. Zbl 1154.92033Sharomi, O.; Gumel, A. B. 17 2008 Immune response to a malaria infection: Properties of a mathematical model. Zbl 1140.92013De Leenheer, Patrick; Pilyugin, Sergei S. 17 2008 Stability analysis of multi-compartment models for cell production systems. Zbl 1447.92126Nakata, Yukihiko; Getto, Philipp; Marciniak-Czochra, Anna; Alarcón, Tomás 17 2012 Mathematical model of anaerobic digestion in a chemostat: effects of syntrophy and inhibition. Zbl 1447.92238Weedermann, Marion; Seo, Gunog; Wolkowicz, Gail 17 2013 A mathematical model for the dynamics of malaria in mosquitoes feeding on a heterogeneous host population. Zbl 1154.92030Chitnis, Nakul; Smith, Thomas; Steketee, Richard 16 2008 Stochasticity in the adaptive dynamics of evolution: the bare bones. Zbl 1403.92180Klebaner, Fima C.; Sagitov, Serik; Vatutin, Vladimir A.; Haccou, Patsy; Jagers, Peter 16 2011 A mathematical model of malaria transmission in a periodic environment. Zbl 1448.92275Bakary, Traoré; Boureima, Sangaré; Sado, Traoré 16 2018 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 16 2019 Enhanced modelling of the glucose-insulin system and its applications in insulin therapies. Zbl 1155.92333Wang, Haiyan; Li, Jiaxu; Kuang, Yang 15 2009 Derivation of stochastic partial differential equations for size- and age-structured populations. Zbl 1157.60331Allen, Edward J. 15 2009 How flocculation can explain coexistence in the chemostat. Zbl 1140.92320Haegeman, B.; Rapaport, A. 15 2008 The dynamic nature of contact networks in infectious disease epidemiology. Zbl 1342.92225Bansal, Shweta; Read, Jonathan; Pourbohloul, Babak; Meyers, Lauren Ancel 15 2010 An SIS epidemiology game with two subpopulations. Zbl 1342.92277Reluga, Timothy C. 15 2009 Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Zbl 1447.92405Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail 15 2020 Density-dependent quiescence in glioma invasion: instability in a simple reaction-diffusion model for the migration/proliferation dichotomy. Zbl 1448.92064Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John 15 2012 The stability analysis of an SVEIR model with continuous age-structure in the exposed and infectious classes. Zbl 1448.92351Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu 15 2015 ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast. Zbl 1342.92119Boczko, Erik M.; Gedeon, Tomas; Stowers, Chris C.; Young, Todd R. 14 2010 Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition. Zbl 1342.92214Yi, Taishan; Chen, Yuming; Wu, Jianhong 14 2009 On the Neimark-Sacker bifurcation in a discrete predator-prey system. Zbl 1403.92247Hone, A. N. W.; Irle, M. V.; Thurura, G. W. 14 2010 Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029Brauer, Fred 14 2011 Modelling diseases with relapse and nonlinear incidence of infection: a multi-group epidemic model. Zbl 1448.92350Wang, Jinliang; Pang, Jingmei; Liu, Xianning 14 2014 Modelling and control of cholera on networks with a common water source. Zbl 1448.92340Shuai, Zhisheng; van den Driessche, P. 14 2015 Global dynamics of a staged-progression model with amelioration for infectious diseases. Zbl 1140.92020Guo, Hongbin; Li, Michael Y. 13 2008 A discrete model of avian influenza with seasonal reproduction and transmission. Zbl 1342.92255Ma, Xinling; Wang, Wendi 13 2010 Flu epidemics: a two-strain flu model with a single vaccination. Zbl 1225.92028Ashrafur Rahman, S. M.; Zou, Xingfu 13 2011 Analysis of HIV models with two time delays. Zbl 1447.92390Alshorman, Areej; Wang, Xia; Meyer, M. Joseph; Rong, Libin 13 2017 Optimal strategy for controlling the spread of HIV/AIDS disease: a case study of South Africa. Zbl 1447.92498Yusuf, Tunde T.; Benyah, Francis 13 2012 Estimating the probability of an extinction or major outbreak for an environmentally transmitted infectious disease. Zbl 1448.92313Lahodny, Glenn E. jun.; Gautam, R. 13 2015 Modelling effects of public health educational campaigns on drinking dynamics. Zbl 1448.92356Xiang, Hong; Song, Na-Na; Huo, Hai-Feng 13 2016 A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline 12 2007 Optimal control applied to native-invasive population dynamics. Zbl 1284.92114Kern, Daniel L.; Lenhart, Suzanne; Miller, Rachael; Yong, Jiongmin 12 2007 Discrete three-stage population model: persistence and global stability results. Zbl 1315.92057Ackleh, Azmy S.; De Leenheer, Patrick 12 2008 A simple fitness proxy for structured populations with continuous traits, with case studies on the evolution of haplo-diploids and genetic dimorphisms. Zbl 1403.92182Metz, 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 1403.92239Cushing, J. M. 12 2011 Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington-DeAngelis incidence and three delays. Zbl 1447.92455Miao, Hui; Teng, Zhidong; Abdurahman, Xamxinur 12 2018 Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218Li, Jia; Ai, Shangbing 12 2020 On the global stability of a generalized cholera epidemiological model. Zbl 1447.92406Cheng, Yuanji; Wang, Jin; Yang, Xiuxiang 12 2012 Linking immunological and epidemiological dynamics of HIV: the case of super-infection. Zbl 1447.92451Martcheva, Maia; Li, Xue-Zhi 12 2013 Existence of solutions of a two-dimensional boundary value problem for a system of nonlinear equations arising in growing cell populations. Zbl 1447.92342Jeribi, Aref; Krichen, Bilel; Mefteh, Bilel 12 2013 A numerical approach for investigating the stability of equilibria for structured population models. Zbl 1448.92178Breda, Dimitri; Diekmann, Odo; Maset, Stefano; Vermiglio, Rossana 12 2013 Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations. Zbl 1454.92024Cushing, J. M. 12 2014 Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson’s blowflies model with delays. Zbl 1448.92215Le Van Hien 12 2014 Global stability of models of humoral immunity against multiple viral strains. Zbl 1342.92110Inoue, Toru; Kajiwara, Tsuyoshi; Sasaki, Toru 11 2010 A note on the nonautonomous delay Beverton-Holt model. Zbl 1345.92118Kocic, V. L. 11 2010 A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host. Zbl 1315.92076Ducrot, A.; Sirima, S. B.; Somé, B.; Zongo, P. 11 2009 Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals. Zbl 1315.92071Webb, Glenn F.; Horn, Mary Ann; D’Agata, Erika M. C.; Moellering, Robert C. jun.; Ruan, Shigui 11 2010 Spatiotemporal dynamics of two generic predator-prey models. Zbl 1403.92245Garvie, Marcus R.; Trenchea, C. 11 2010 Analysis of a tuberculosis model with a case study in Uganda. Zbl 1403.92286Buonomo, Bruno; Lacitignola, Deborah 11 2010 The role of host population heterogeneity in the evolution of virulence. Zbl 1403.92308Pugliese, Andrea 11 2011 Heterogeneity in multiple transmission pathways: modelling the spread of cholera and other waterborne disease in networks with a common water source. Zbl 1448.92333Robertson, Suzanne L.; Eisenberg, Marisa C.; Tien, Joseph H. 11 2013 Numerical simulation of a susceptible-exposed-infectious space-continuous model for the spread of rabies in raccoons across a realistic landscape. Zbl 1448.92305Keller, Joshua P.; Gerardo-Giorda, Luca; Veneziani, Alessandro 11 2013 Exploration on dynamics in a discrete predator-prey competitive model involving feedback controls. Zbl 07716501Xu, Changjin; Cui, Xiaohan; Li, Peiluan; Yan, Jinling; Yao, Lingyun 1 2023 Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling 3 2022 Hopf bifurcation in delayed nutrient-microorganism model with network structure. Zbl 1484.92141Chen, Mengxin; Zheng, Qianqian; Wu, Ranchao; Chen, Liping 2 2022 Discrete dynamical models on Wolbachia infection frequency in mosquito populations with biased release ratios. Zbl 1491.92124Shi, Yantao; Zheng, Bo 2 2022 Stability and Hopf bifurcation of HIV-1 model with Holling II infection rate and immune delay. Zbl 1497.92272Liao, Maoxin; Liu, Yanjin; Liu, Shinan; Meyad, Ali M. 2 2022 Stability of a fear effect predator-prey model with mutual interference or group defense. Zbl 1497.92202He, Mengxin; Li, Zhong 2 2022 Dynamic analysis and optimal control of a class of SISP respiratory diseases. Zbl 1483.92147Shi, Lei; Qi, Longxing 1 2022 Uniqueness and stability of periodic solutions for an interactive wild and Wolbachia-infected male mosquito model. Zbl 1491.92137Yan, Rong; Sun, Qiwen 1 2022 Mathematical modelling of echinococcosis in human, dogs and sheep with intervention. Zbl 1494.92124Bitew, Birhan Getachew; Munganga, Justin Manango W.; Hassan, Adamu Shitu 1 2022 Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. Zbl 1484.92124Martcheva, Maia; Tuncer, Necibe; Ngonghala, Calistus N. 4 2021 A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. Zbl 1484.92081Sk, Nazmul; Tiwari, Pankaj Kumar; Pal, Samares; Martcheva, Maia 3 2021 A stochastic predator-prey model with Holling II increasing function in the predator. Zbl 1490.92048Huang, Youlin; Shi, Wanying; Wei, Chunjin; Zhang, Shuwen 2 2021 Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue. Zbl 1489.92157Hu, Xinli; Li, Jianquan; Feng, Xiaomei 2 2021 Complexity of host-vector dynamics in a two-strain dengue model. Zbl 1490.92114Rashkov, Peter; Kooi, Bob W. 2 2021 Transmission rates and environmental reservoirs for COVID-19 – a modeling study. Zbl 1484.92138Yang, Chayu; Wang, Jin 2 2021 SARS-CoV-2 and self-medication in Cameroon: a mathematical model. Zbl 1484.92057Kong, Jude D.; Tchuendom, Rinel F.; Adeleye, Samuel A.; David, Jummy F.; Admasu, Fikreab Solomon; Bakare, Emmanuel A.; Siewe, Nourridine 2 2021 Impulsive release strategies of sterile mosquitos for optimal control of wild population. Zbl 1484.92146Huang, Mingzhan; You, Lei; Liu, Shouzong; Song, Xinyu 2 2021 Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response. Zbl 1484.92125Ma, Xinsheng; Zhang, Yuhuai; Chen, Yuming 2 2021 Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Zbl 1484.92060Misra, Arvind Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Martcheva, Maia 2 2021 Dynamics of a diffusive vaccination model with therapeutic impact and non-linear incidence in epidemiology. Zbl 1484.92055Kamrujjaman, Md.; Shahriar Mahmud, Md.; Islam, Md. Shafiqul 2 2021 A continuous-time mathematical model and discrete approximations for the aggregation of \(\beta \)-amyloid. Zbl 1484.92018Ackleh, Azmy S.; Elaydi, Saber; Livadiotis, George; Veprauskas, Amy 1 2021 Contrasting stoichiometric dynamics in terrestrial and aquatic grazer-producer systems. Zbl 1484.92142Davies, Colleen M.; Wang, Hao 1 2021 Nutritional regulation influencing colony dynamics and task allocations in social insect colonies. Zbl 1492.92141Rao, Feng; Rodriguez Messan, Marisabel; Marquez, Angelica; Smith, Nathan; Kang, Yun 1 2021 A stage-structured population model for activity-dependent dendritic spines. Zbl 1494.92038Rouhani, Morteza; Baer, Steven M.; Crook, Sharon M. 1 2021 A discrete/continuous time resource competition model and its implications. Zbl 1486.92168Ledder, 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 1484.92059Malik, 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 1447.92405Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail 15 2020 Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218Li, Jia; Ai, Shangbing 12 2020 Modelling malaria dynamics with partial immunity and protected travellers: optimal control and cost-effectiveness analysis. Zbl 1447.92467Olaniyi, S.; Okosun, K. O.; Adesanya, S. O.; Lebelo, R. S. 7 2020 Stability of a certain class of a host-parasitoid models with a spatial refuge effect. Zbl 1448.92174Bešo, E.; Kalabušić, S.; Mujić, N.; Pilav, E. 6 2020 The role of asymptomatic class, quarantine and isolation in the transmission of COVID-19. Zbl 1447.92387Ali, Mohsin; Shah, Syed Touqeer H.; Imran, Mudassar; Khan, Adnan 6 2020 A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. Zbl 1447.92450Martcheva, Maia; Inaba, Hisashi 6 2020 Stability analysis in a mosquito population suppression model. Zbl 1447.92349Lin, Genghong; Hui, Yuanxian 6 2020 Bistable wave speed of the Lotka-Volterra competition model. Zbl 1448.92230Ma, Manjun; Zhang, Qiming; Yue, Jiajun; Ou, Chunhua 6 2020 Optimal control strategies for the transmission risk of COVID-19. Zbl 1447.92465Obsu, Legesse Lemecha; Balcha, Shiferaw Feyissa 5 2020 A generalized within-host model of dengue infection with a non-constant monocyte production rate. Zbl 1447.92477Thibodeaux, Jeremy J.; Nuñez, Daniel; Rivera, Andres 4 2020 Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response. Zbl 1448.92166Bai, Dingyong; Li, Jinshui; Zeng, Wenrui 3 2020 Discrete evolutionary population models: a new approach. Zbl 1442.92106Mokni, Karima; Elaydi, Saber; Ch-Chaoui, Mohamed; Eladdadi, Amina 3 2020 Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise. Zbl 1447.92371Tuerxun, Nafeisha; Abdurahman, Xamxinur; Teng, Zhidong 2 2020 Coinfection dynamics of heroin transmission and HIV infection in a single population. Zbl 1447.92415Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia 2 2020 Asymptotic analysis of a vector-borne disease model with the age of infection. Zbl 1447.92486Wang, Xia; Chen, Yuming; Martcheva, Maia; Rong, Libin 2 2020 Backward bifurcation in a malaria transmission model. Zbl 1447.92492Xing, Yanyuan; Guo, Zhiming; Liu, Jian 2 2020 A Wolbachia infection model with free boundary. Zbl 1447.92447Liu, Yunfeng; Guo, Zhiming; El Smaily, Mohammad; Wang, Lin 2 2020 Balance simplices of 3-species May-Leonard systems. Zbl 1448.92167Baigent, Stephen; Ching, Atheeta 1 2020 Dynamical analysis on a predator-prey model with stage structure and mutual interference. Zbl 1447.92382Zhang, Xinzhe; Huang, Gang; Dong, Yueping 1 2020 The competition model with Holling type II competitive response to interfering time. Zbl 1448.92181Castillo-Alvino, Hamlet; Marvá, Marcos 1 2020 Age structured discrete-time disease models with demographic population cycles. Zbl 1447.92482van den Driessche, P.; Yakubu, Abdul-Aziz 1 2020 Global stability analysis for a model with carriers and non-linear incidence rate. Zbl 1448.92282Cerón Gómez, Miller; Ibarguen Mondragon, Eduardo; Lopez Molano, Patricia 1 2020 Chaotic attractors in Atkinson-Allen model of four competing species. Zbl 1447.92340Gyllenberg, Mats; Jiang, Jifa; Niu, Lei 1 2020 A comparative analysis of host-parasitoid models with density dependence preceding parasitism. Zbl 1448.92231Marcinko, Kelsey; Kot, Mark 1 2020 Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260Yu, Jianshe; Li, Jia 29 2019 Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev 16 2019 Mathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis. Zbl 1447.92224Nkamba, Leontine Nkague; Manga, Thomas Timothee; Agouanet, Franklin; Manyombe, Martin Luther Mann 9 2019 Difference equations as models of evolutionary population dynamics. Zbl 1447.92333Cushing, J. M. 9 2019 Influence of non-homogeneous mixing on final epidemic size in a meta-population model. Zbl 1447.92410Cui, Jingan; Zhang, Yanan; Feng, Zhilan 9 2019 A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity. Zbl 1448.92388Yoshioka, Hidekazu 8 2019 Bifurcation analysis for a delayed SEIR epidemic model with saturated incidence and saturated treatment function. Zbl 1447.92445Liu, Juan 7 2019 Weather-driven malaria transmission model with gonotrophic and sporogonic cycles. Zbl 1447.92466Okuneye, Kamaldeen; Eikenberry, Steffen E.; Gumel, Abba B. 7 2019 Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449Martcheva, Maia 6 2019 Early estimates of epidemic final sizes. Zbl 1447.92399Brauer, Fred 6 2019 Cooperative hunting in a discrete predator-prey system. II. Zbl 1441.92031Chow, Yunshyong; Jang, Sophia R.-J.; Wang, Hua-Ming 6 2019 Optimal control of a vectored plant disease model for a crop with continuous replanting. Zbl 1447.92552Bokil, V. A.; Allen, L. J. S.; Jeger, M. J.; Lenhart, S. 6 2019 A stochastic model for the transmission dynamics of hepatitis B virus. Zbl 1448.92309Khan, Tahir; Jung, Ii Hyo; Zaman, Gul 5 2019 Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects. Zbl 1448.92098Guo, Yuxiao; Niu, Ben; Tian, Jianjun Paul 5 2019 The effect of delay in viral production in within-host models during early infection. Zbl 1447.92393Bai, Fan; Huff, Krystin E. S.; Allen, Linda J. S. 5 2019 Modeling the seasonality of Methicillin-resistant Staphylococcus aureus infections in hospitals with environmental contamination. Zbl 1447.92429Huang, Qimin; Huo, Xi; Miller, Darlene; Ruan, Shigui 5 2019 Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number. Zbl 1447.92489Wu, Chunqing; Wong, Patricia J. Y. 4 2019 Hopf bifurcation of an age-structured HIV infection model with logistic target-cell growth. Zbl 1447.92426Guo, Zhong-Kai; Huo, Hai-Feng; Xiang, Hong 4 2019 Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls. Zbl 1448.92256Xu, Changjin; Li, Peiluan; Guo, Ying 4 2019 Optimal control of a delayed smoking model with immigration. Zbl 1447.92476Sun, Caixia; Jia, Jianwen 4 2019 Bifurcation analysis and chaos control for a plant-herbivore model with weak predator functional response. Zbl 1448.92371Din, Qamar; Shabbir, M. Sajjad; Khan, M. Asif; Ahmad, Khalil 4 2019 Dynamical behaviour of a Lotka-Volterra competitive-competitive-cooperative model with feedback controls and time delays. Zbl 1447.92545Wang, Changyou; Li, Linrui; Zhang, Qiuyan; Li, Rui 3 2019 Global dynamics of an age-structured cholera model with multiple transmissions, saturation incidence and imperfect vaccination. Zbl 1447.92444Lin, Jiazhe; Xu, Rui; Tian, Xiaohong 3 2019 Consumer-resource coexistence as a means of reducing infectious disease. Zbl 1447.92416Duffy, Kevin J.; Collins, Obiora C. 2 2019 Modelling the dynamics of direct and pathogens-induced dysentery diarrhoea epidemic with controls. Zbl 1447.92398Berhe, Hailay Weldegiorgis; Makinde, Oluwole Daniel; Theuri, David Mwangi 2 2019 Dynamical analysis of an integrated pest management predator-prey model with weak Allee effect. Zbl 1447.92560Yu, Tingting; Tian, Yuan; Guo, Hongjian; Song, Xinyu 2 2019 Contributions to nonstationary community theory. Zbl 1447.92330Chesson, Peter 2 2019 Demographic population cycles and \(\mathcal{R}_0\) in discrete-time epidemic models. Zbl 1447.92481van den Driessche, P.; Yakubu, Abdul-Aziz 2 2019 The balance simplex in non-competitive 2-species scaled Lotka-Volterra systems. Zbl 1447.92331Ching, Atheeta; Baigent, Stephen 1 2019 Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M. 1 2019 On hybrid stochastic population models with impulsive perturbations. Zbl 1448.92198Hu, Guixin; Tian, Kuanhou 1 2019 Population model for the decline of Homalodisca vitripennis (Hemiptera: Cicadellidae) over a ten-year period. Zbl 1447.92327Banks, H. T.; Banks, John E.; Cody, Natalie G.; Hoddle, Mark S.; Meade, Annabel E. 1 2019 A model of insect control with imperfect treatment. Zbl 1447.92225Oduro, Bismark; Grijalva, Mario J.; Just, Winfried 1 2019 Epidemic dynamics with a time-varying susceptibility due to repeated infections. Zbl 1447.92461Nakata, Yukihiko; Omori, Ryosuke 1 2019 IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect. Zbl 1447.92361Qin, Wenjie; Tan, Xuewen; Shi, Xiaotao; Xiang, Changcheng 1 2019 Global stability of discrete virus dynamics models with humoural immunity and latency. Zbl 1448.92286Elaiw, A. M.; Alshaikh, M. A. 1 2019 Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection. Zbl 1448.92359Xu, Rui; Yang, Junyuan; Tian, Xiaohong; Lin, Jiazhe 1 2019 Stochastic optimal switching model for migrating population dynamics. Zbl 1448.92258Yoshioka, Hidekazu; Tanaka, Tomomi; Aranishi, Futoshi; Izumi, Tomoki; Fujihara, Masayuki 1 2019 Discrete-time model for malaria transmission with constant releases of sterile mosquitoes. Zbl 1448.92319Li, Yang; Li, Jia 1 2019 Local approximation of Markov chains in time and space. Zbl 1447.92456Milliken, Evan 1 2019 Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species. Zbl 1448.92235Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng 24 2018 A mathematical model of malaria transmission in a periodic environment. Zbl 1448.92275Bakary, Traoré; Boureima, Sangaré; Sado, Traoré 16 2018 Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington-DeAngelis incidence and three delays. Zbl 1447.92455Miao, Hui; Teng, Zhidong; Abdurahman, Xamxinur 12 2018 Homogenization techniques for population dynamics in strongly heterogeneous landscapes. Zbl 1447.92547Yurk, Brian P.; Cobbold, Christina A. 9 2018 Periodic solution of a stochastic SIRS epidemic model with seasonal variation. Zbl 1447.92437Jin, Manli; Lin, Yuguo 8 2018 Dynamics of populations with individual variation in dispersal on bounded domains. Zbl 1447.92329Cantrell, Robert Stephen; Cosner, Chris; Yu, Xiao 8 2018 An age-structured within-host HIV-1 infection model with virus-to-cell and cell-to-cell transmissions. Zbl 1448.92358Xu, Rui; Tian, Xiaohong; Zhang, Shihua 6 2018 Characterization of Wolbachia enhancing domain in mosquitoes with imperfect maternal transmission. Zbl 1447.92501Zheng, Bo; Yu, Jianshe 6 2018 Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. Zbl 1447.92360Pouchol, Camille; Trélat, Emmanuel 6 2018 Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. Zbl 1447.92396Barfield, Michael; Martcheva, Maia; Tuncer, Necibe; Holt, Robert D. 5 2018 ...and 350 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,427 Authors 31 Wang, Hao 25 Kang, Yun 25 Li, Jia 24 Banks, Harvey Thomas 24 Huo, Hai-Feng 24 Lou, Yuan 24 Wang, Jin 23 Yu, Jian-She 22 Ackleh, Azmy S. 22 Cushing, Jim M. 20 Elaydi, Saber Nasr 20 Jang, Sophia R.-J. 20 Martcheva, Maia 19 Ruan, Shigui 18 Kuang, Yang 18 Wang, Jinliang 18 Wang, Xueying 17 Gyllenberg, Mats 17 Jin, Zhen 17 Rong, Libin 17 Schreiber, Sebastian J. 16 Chattopadhyay, Joydev 16 Teng, Zhi-dong 16 Yakubu, Abdul-Aziz 15 Allen, Linda J. 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