Mathematical Biosciences and EngineeringA Joint Journal of American Institute of Mathematical Sciences and Beihang University Short Title: Math. Biosci. Eng. Publisher: American Institute of Mathematical Sciences (AIMS), Springfield, MO ISSN: 1547-1063; 1551-0018/e Online: https://www.aimspress.com/journal/MBE/archive.html Comments: Published electronic only as of Vol. 7 (2010). Print ISSN until then: 1547-1063 Documents Indexed: 2,125 Publications (since 2004) References Indexed: 1,594 Publications with 60,842 References. all top 5 Latest Issues 19, No. 5 (2022) 19, No. 4 (2022) 19, No. 3 (2022) 19, No. 2 (2022) 19, No. 1 (2022) 18, No. 6 (2021) 18, No. 5 (2021) 18, No. 4 (2021) 18, No. 3 (2021) 18, No. 2 (2021) 18, No. 1 (2021) 17, No. 6 (2020) 17, No. 5 (2020) 17, No. 4 (2020) 17, No. 3 (2020) 17, No. 2 (2020) 17, No. 1 (2020) 16, No. 6 (2019) 16, No. 5 (2019) 16, No. 4 (2019) 16, No. 3 (2019) 16, No. 2 (2019) 16, No. 1 (2019) 15, No. 6 (2018) 15, No. 5 (2018) 15, No. 4 (2018) 15, No. 3 (2018) 15, No. 2 (2018) 15, No. 1 (2018) 14, No. 5-6 (2017) 14, No. 4 (2017) 14, No. 3 (2017) 14, No. 2 (2017) 14, No. 1 (2017) 13, No. 6 (2016) 13, No. 5 (2016) 13, No. 4 (2016) 13, No. 3 (2016) 13, No. 2 (2016) 13, No. 1 (2016) 12, No. 6 (2015) 12, No. 5 (2015) 12, No. 4 (2015) 12, No. 3 (2015) 12, No. 2 (2015) 12, No. 1 (2015) 11, No. 6 (2014) 11, No. 5 (2014) 11, No. 4 (2014) 11, No. 3 (2014) 11, No. 2 (2014) 11, No. 1 (2014) 10, No. 5-6 (2013) 10, No. 4 (2013) 10, No. 3 (2013) 10, No. 2 (2013) 10, No. 1 (2013) 9, No. 4 (2012) 9, No. 3 (2012) 9, No. 2 (2012) 9, No. 1 (2012) 8, No. 4 (2011) 8, No. 3 (2011) 8, No. 2 (2011) 8, No. 1 (2011) 7, No. 4 (2010) 7, No. 3 (2010) 7, No. 2 (2010) 7, No. 1 (2010) 6, No. 4 (2009) 6, No. 3 (2009) 6, No. 2 (2009) 6, No. 1 (2009) 5, No. 4 (2008) 5, No. 3 (2008) 5, No. 2 (2008) 5, No. 1 (2008) 4, No. 4 (2007) 4, No. 3 (2007) 4, No. 2 (2007) 4, No. 1 (2007) 3, No. 4 (2006) 3, No. 3 (2006) 3, No. 2 (2006) 3, No. 1 (2006) 2, No. 4 (2005) 2, No. 3 (2005) 2, No. 2 (2005) 2, No. 1 (2005) 1, No. 2 (2004) 1, No. 1 (2004) all top 5 Authors 26 Castillo-Chavez, Carlos 22 Banks, Harvey Thomas 19 Kuang, Yang 18 Wu, Jianhong 15 Takeuchi, Yasuhiro 14 Ledzewicz, Urszula 14 Zhu, Huaiping 13 Friedman, Avner 13 Jin, Zhen 13 Song, Baojun 12 Chowell, Gerardo 12 Feng, Zhilan 12 Schättler, Heinz Michael 11 Kang, Yun 11 Wang, Hao 11 Zhang, Qimin 11 Zou, Xingfu 10 Ackleh, Azmy S. 10 Brauer, Fred 10 Fan, Meng 10 Foryś, Urszula 10 Liu, Shengqiang 10 Ruan, Shigui 10 Xiao, Yanni 9 Gumel, Abba B. 9 Huo, Hai-Feng 9 Li, Jia 9 Liu, Maoxing 9 Qiu, Zhipeng 9 Wang, Lin 9 Wang, Weiming 9 Yuan, Sanling 8 Cai, Yongli 8 d’Onofrio, Alberto 8 Hyman, James M. 8 Korobeinikov, Andrei 8 Kribs-Zaleta, Christopher M. 8 Kuniya, Toshikazu 8 Xu, Rui 7 Buonomo, Bruno 7 Chen, Yuming 7 Hu, Shuhua 7 Lenhart, Suzanne M. 7 Martcheva, Maia 7 McCluskey, C. Connell 7 Tang, Sanyi 7 van den Driessche, Pauline 7 Venturino, Ezio 7 Wang, Jin 7 Wang, Kaifa 7 Wang, Wendi 7 Yan, Xuehu 6 Al-Nabhan, Najla 6 Bodnar, Marek 6 Bollt, Erik M. 6 Cui, Jingan 6 Levy, Doron 6 Li, Xining 6 Li, Xuezhi 6 Lu, Yuliang 6 Ma, Wanbiao 6 Ma, Zhien 6 Nieto-Villar, José Manuel 6 Nishiura, Hiroshi 6 Peace, Angela 6 Pirozzi, Enrica 6 Rong, Libin 6 Shim, Eunha 6 Świerniak, Andrzej P. 6 Wang, Kai 6 Xiang, Hong 6 Zhang, Tonghua 6 Zhou, Yicang 5 Allen, Linda J. S. 5 Băleanu, Dumitru I. 5 Banerjee, Malay 5 Buonocore, Aniello 5 Bürger, Raimund 5 Chang, Chin-Chen 5 Craciun, Gheorghe 5 Cushing, Jim M. 5 Dimitrov, Dobromir T. 5 Gandolfi, Alberto 5 He, Daihai 5 Huang, Wei 5 Jia, Heming 5 Kashdan, Eugene 5 Kim, Yangjin 5 Kirschner, Denise E. 5 Lei, Jinzhi 5 Li, Jianquan 5 Li, Mingtao 5 Lin, Jiazhe 5 Liu, Zhijun 5 Lungu, Edward M. 5 Ma, Junling 5 Ma, Tinghuai 5 Sari, Tewfik 5 Smith, Hal Leslie 5 Smith?, Robert Joseph ...and 5,017 more Authors all top 5 Fields 1,731 Biology and other natural sciences (92-XX) 507 Ordinary differential equations (34-XX) 281 Partial differential equations (35-XX) 214 Computer science (68-XX) 169 Dynamical systems and ergodic theory (37-XX) 144 Systems theory; control (93-XX) 118 Numerical analysis (65-XX) 111 Probability theory and stochastic processes (60-XX) 107 Statistics (62-XX) 106 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 101 Information and communication theory, circuits (94-XX) 88 Calculus of variations and optimal control; optimization (49-XX) 81 Operations research, mathematical programming (90-XX) 46 Fluid mechanics (76-XX) 37 General and overarching topics; collections (00-XX) 30 Mechanics of deformable solids (74-XX) 28 Difference and functional equations (39-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Real functions (26-XX) 17 Integral equations (45-XX) 14 Combinatorics (05-XX) 13 History and biography (01-XX) 12 Optics, electromagnetic theory (78-XX) 9 Mechanics of particles and systems (70-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Operator theory (47-XX) 6 Geophysics (86-XX) 5 Mathematical logic and foundations (03-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Mathematics education (97-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 1,006 Publications have been cited 7,354 times in 5,320 Documents Cited by ▼ Year ▼ Dynamical models of tuberculosis and their applications. Zbl 1060.92041Castillo-Chavez, Carlos; Song, Baojun 511 2004 A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence. Zbl 1062.92061Korobeinikov, Andrei; Maini, Philip K. 113 2004 Review of stability and stabilization for impulsive delayed systems. Zbl 1416.93159Yang, Xueyan; Li, Xiaodi; Xi, Qiang; Duan, Peiyong 91 2018 An age-structured model of HIV infection that allows for variations in the production rate of viral particles and the death rate of productively infected cells. Zbl 1060.92038Nelson, Patrick W.; Gilchrist, Michael A.; Coombs, Daniel; Hyman, James M.; Perelson, Alan S. 71 2004 Optimal control applied to vaccination and treatment strategies for various epidemiological models. Zbl 1169.49018Gaff, Holly; Schaefer, Elsa 70 2009 Dynamics of an infectious diseases with media/psychology induced non-smooth incidence. Zbl 1259.92061Xiao, Yanni; Zhao, Tingting; Tang, Sanyi 69 2013 Global stability for an SEIR epidemiological model with varying infectivity and infinite delay. Zbl 1190.34108McCluskey, C. Connell 69 2009 Evolution of dispersal and the ideal free distribution. Zbl 1188.35102Cantrell, Robert Stephen; Cosner, Chris; Lou, Yuan 66 2010 Modeling diseases with latency and relapse. Zbl 1123.92018van den Driessche, P.; Wang, Lin; Zou, Xingfu 66 2007 Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes. Zbl 1259.34068McCluskey, C. Connell 63 2012 Dynamics of an SIS reaction-diffusion epidemic model for disease transmission. Zbl 1190.35120Huang, Wenzhang; Han, Maoan; Liu, Kaiyu 62 2010 Dynamic multidrug therapies for HIV: Optimal and STI control approaches. Zbl 1060.92034Adams, B. M.; Banks, H. T.; Kwon, Hee-Dae; Tran, Hien T. 58 2004 Dynamics of an age-of-infection cholera model. Zbl 1273.92050Brauer, Fred; Shuai, Zhisheng; van den Driessche, P. 57 2013 Vector control for the Chikungunya disease. Zbl 1259.92071Dumont, Yves; Chiroleu, Frederic 56 2010 Lyapunov functions for tuberculosis models with fast and slow progression. Zbl 1113.92057McCluskey, C. Connell 56 2006 Global dynamics of a staged progression model for infectious diseases. Zbl 1092.92040Guo, Hongbin; Li, Michael Y. 55 2006 Epidemic threshold conditions for seasonally forced SEIR models. Zbl 1089.92048Ma, Junling; Ma, Zhien 54 2006 Noise in ecosystems: a short review. Zbl 1086.92055Spagnolo, B.; Valenti, D.; Fiasconaro, A. 54 2004 Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment. Zbl 1140.92016Sharomi, Oluwaseun; Podder, Chandra N.; Gumel, Abba B.; Song, Baojun 54 2008 An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Zbl 1092.92039Gumel, A. B.; McCluskey, C. Connell; Watmough, James 48 2006 A final size relation for epidemic models. Zbl 1123.92030Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong 47 2007 Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains. Zbl 1167.35426Kao, Chiu-Yen; Lou, Yuan; Yanagida, Eiji 45 2008 SEIR epidemiological model with varying infectivity and infinite delay. Zbl 1165.34421Röst, Gergely; Wu, Jianhong 42 2008 The effect of global travel on the spread of SARS. Zbl 1089.92049Ruan, Shigui; Wang, Wendi; Levin, Simon A. 41 2006 Epidemic models with nonlinear infection forces. Zbl 1089.92052Wang, Wendi 40 2006 Global stability for a class of discrete SIR epidemic models. Zbl 1259.34064Enatsu, Yoichi; Nakata, Yukihiko; Muroya, Yoshiaki 38 2010 Global stability of an SIR epidemic model with delay and general nonlinear incidence. Zbl 1259.34067McCluskey, C. Connell 38 2010 Time delay in necrotic core formation. Zbl 1115.34078Bodnar, Marek; Foryś, Urszula 34 2005 Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy. Zbl 1260.92065Liu, Shengqiang; Wang, Lin 34 2010 The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth. Zbl 1167.92013Eikenberry, Steffen; Hews, Sarah; Nagy, John D.; Kuang, Yang 34 2009 Modeling TB and HIV co-infections. Zbl 1194.92054Roeger, Lih-Ing W.; Feng, Z.; Castillo-Chávez, Carlos 33 2009 Sensitivity and uncertainty analyses for an SARS model with time-varying inputs and outputs. Zbl 1092.92042McLeod, Robert G.; Brewster, John F.; Gumel, Abba B.; Slonowsky, Dean A. 32 2006 The ecology and evolutionary biology of cancer: a review of mathematical models of necrosis and tumor cell diversity. Zbl 1070.92026Nagy, John D. 31 2004 Mathematical analysis of a model for HIV-malaria co-infection. Zbl 1167.92020Mukandavire, Zindoga; Gumel, Abba B.; Garira, Winston; Tchuenche, Jean Michel 31 2009 Optimal control of a tuberculosis model with state and control delays. Zbl 1351.49052Silva, Cristiana J.; Maurer, Helmut; Torres, Delfim F. M. 30 2017 A simple epidemic model with surprising dynamics. Zbl 1061.92052Berezovsky, Faina; Karev, Georgy; Song, Baojun; Castillo-Chavez, Carlos 30 2005 Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480Yang, Yu; Ruan, Shigui; Xiao, Dongmei 29 2015 Stochastic dynamics of SIRS epidemic models with random perturbation. Zbl 1306.92064Yang, Qingshan; Mao, Xuerong 29 2014 Optimal control of chikungunya disease: larvae reduction, treatment and prevention. Zbl 1260.92068Moulay, Djamila; Aziz-Alaoui, M. A.; Kwon, Hee-Dae 29 2012 Modeling the effect of information campaigns on the HIV epidemic in Uganda. Zbl 1154.92037Joshi, Hem; Lenhart, Suzanne; Albright, Kendra; Gipson, Kevin 29 2008 A delayed HIV-1 model with virus waning term. Zbl 1329.34129Li, Bing; Chen, Yuming; Lu, Xuejuan; Liu, Shengqiang 28 2016 Dynamics of a predator-prey system with prey subject to Allee effects and disease. Zbl 1317.34105Kang, Yun; Sasmal, Sourav Kumar; Bhowmick, Amiya Ranjan; Chattopadhyay, Joydev 28 2014 Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility. Zbl 1260.92106Melnik, Andrey V.; Korobeinikov, Andrei 28 2013 Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays. Zbl 1260.92088Yuan, Zhaohui; Zou, Xingfu 28 2013 Mathematical modelling of tuberculosis epidemics. Zbl 1167.92019Aparicio, Juan Pablo; Castillo-Chávez, Carlos 28 2009 Pattern formation of a predator-prey model with the cost of anti-predator behaviors. Zbl 1406.92530Wang, Xiaoying; Zou, Xingfu 27 2018 Epidemic models for complex networks with demographics. Zbl 1326.92067Jin, Zhen; Zhu, Huaiping 27 2014 Final and peak epidemic sizes for \(SEIR\) models with quarantine and isolation. Zbl 1142.92036Feng, Zhilan 27 2007 Global stability of an age-structured cholera model. Zbl 1298.92107Yang, Jianxin; Qiu, Zhipeng; Li, Xue-Zhi 26 2014 A SEIR model for control of infectious diseases with constraints. Zbl 1327.92055Biswas, M. H. A.; Paiva, L. T.; de Pinho, M.d. R. 26 2014 The global stability of an SIRS model with infection age. Zbl 1298.92096Chen, Yuming; Yang, Junyuan; Zhang, Fengqin 25 2014 A mathematical model for the novel coronavirus epidemic in Wuhan, China. Zbl 1470.92367Yang, Chayu; Wang, Jin 25 2020 Global stability analysis for SEIS models with \(n\) latent classes. Zbl 1155.34325Bame, Napoleon; Bowong, Samuel; Mbang, Joseph; Sallet, Gauthier; Tewa, Jean-Jules 25 2008 Stability analysis and application of a mathematical cholera model. Zbl 1260.92063Liao, Shu; Wang, Jin 24 2011 Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes. Zbl 1259.34071Vargas-De-León, Cruz 24 2012 Evaluating growth measures in an immigration process subject to binomial and geometric catastrophes. Zbl 1143.92030Artalejo, J. R.; Economou, A.; Lopez-Herrero, M. J. 24 2007 Discrete epidemic models. Zbl 1184.92040Brauer, Fred; Feng, Zhilan; Castillo-Chavez, Carlos 23 2010 Transmission dynamics and control for a brucellosis model in Hinggan League of Inner Mongolia, China. Zbl 1306.92061Li, Mingtao; Sun, Guiquan; Zhang, Juan; Jin, Zhen; Sun, Xiangdong; Wang, Youming; Huang, Baoxu; Zheng, Yaohui 23 2014 Malaria model with stage-structured mosquitoes. Zbl 1260.92060Li, Jia 23 2011 The estimation of the effective reproductive number from disease outbreak data. Zbl 1166.62080Cintrón-Arias, Ariel; Castillo-Chávez, Carlos; Bettencourt, Luís M. A.; Lloyd, Alun L.; Banks, H. T. 23 2009 Some simple epidemic models. Zbl 1089.92042Brauer, Fred 22 2006 Modeling spatial spread of West Nile virus and impact of directional dispersal of birds. Zbl 1089.92047Liu, Rongsong; Shuai, Jiangping; Wu, Jianhong; Zhu, Huaiping 22 2006 Global stability and uniform persistence of the reaction-convection-diffusion cholera epidemic model. Zbl 06646816Yamazaki, Kazuo; Wang, Xueying 22 2017 Communication and synchronization in disconnected networks with dynamic topology: Moving neighborhood networks. Zbl 1060.92004Skufca, Joseph D.; Bollt, Erik M. 22 2004 A note on dynamics of an age-of-infection cholera model. Zbl 1326.92072Wang, Jinliang; Zhang, Ran; Kuniya, Toshikazu 22 2016 Optimal and suboptimal protocols for a mathematical model for tumor anti-angiogenesis in combination with chemotherapy. Zbl 1259.92048Ledzewicz, Urszula; Maurer, Helmut; Schättler, Heinz 22 2011 Evidence of chaos in eco-epidemic models. Zbl 1178.92057Stiefs, Dirk; Venturino, Ezio; Feudel, Ulrike 22 2009 Global analysis of discrete-time SI and SIS epidemic models. Zbl 1142.92038Li, Jianquan; Ma, Zhien; Brauer, Fred 22 2007 Age-of-infection and the final size relation. Zbl 1166.92321Brauer, Fred 22 2008 Critical role of nosocomial transmission in the Toronto SARS outbreak. Zbl 1060.92054Webb, Glenn F.; Blaser, Martin J.; Zhu, Huaiping; Ardal, Sten; Wu, Jianhong 21 2004 Dynamics of delayed mosquitoes populations models with two different strategies of releasing sterile mosquitoes. Zbl 1406.92490Cai, Liming; Ai, Shangbing; Fan, Guihong 20 2018 A multiscale model for glioma spread including cell-tissue interactions and proliferation. Zbl 1343.92073Engwer, Christian; Knappitsch, Markus; Surulescu, Christina 20 2016 The replicability of oncolytic virus: defining conditions in tumor virotherapy. Zbl 1259.34029Tian, Jianjun Paul 20 2011 A passivity-based stability criterion for a class of biochemical reaction networks. Zbl 1152.34034Arcak, Murat; Sontag, Eduardo D. 20 2008 Stoichiometric plant-herbivore models and their interpretation. Zbl 1060.92059Kuang, Yang; Huisman, Jef; Elser, James J. 19 2004 An elementary approach to modeling drug resistance in cancer. Zbl 1259.92056Tomasetti, Cristian; Levy, Doron 19 2010 Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates. Zbl 1260.92008Abbas, Fazal; Sudarsan, Rangarajan; Eberl, Hermann J. 19 2012 Feedback regulation in multistage cell lineages. Zbl 1159.92013Lo, Wing-Cheong; Chou, Ching-Shan; Gokoffski, Kimberly K.; Wan, Frederic Y.-M.; Lander, Arthur D.; Calof, Anne L.; Nie, Qing 19 2009 Estimation and identification of parameters in a lumped cerebrovascular model. Zbl 1159.92025Pope, Scott R.; Ellwein, Laura M.; Zapata, Cheryl L.; Novak, Vera; Kelley, C. T.; Olufsen, Mette S. 19 2009 A single-cell approach in modeling the dynamics of tumor microregions. Zbl 1079.92046Rejniak, Katarzyna A. 18 2005 Some bifurcation methods of finding limit cycles. Zbl 1136.34307Han, Maoan; Zhang, Tonghua 18 2006 Differential susceptibility and infectivity epidemic models. Zbl 1101.34034Hyman, James M.; Li, Jia 18 2006 Delayed population models with Allee effects and exploitation. Zbl 1321.34107Liz, Eduardo; Ruiz-Herrera, Alfonso 18 2015 A mathematical study of a syntrophic relationship of a model of anaerobic digestion process. Zbl 1259.92020El Hajji, Miled; Mazenc, Frédéric; Harmand, Jérôme 18 2010 Global dynamics of the chemostat with different removal rates and variable yields. Zbl 1260.92121Sari, Tewfik; Mazenc, Frederic 18 2011 Parameter estimation and uncertainty quantification for an epidemic model. Zbl 1260.62085Capaldi, Alex; Behrend, Samuel; Berman, Benjamin; Smith, Jason; Wright, Justin; Lloyd, Alun L. 18 2012 Optimal control of vaccine distribution in a rabies metapopulation model. Zbl 1158.92324Asano, Erika; Gross, Louis J.; Lenhart, Suzanne; Real, Leslie A. 18 2008 Immunotherapy: an optimal control theory approach. Zbl 1180.92038Fister, K. Renee; Hughes Donnelly, Jennifer 17 2005 Nonlinear semelparous Leslie models. Zbl 1089.92040Cushing, J. M. 17 2006 Virus dynamics model with intracellular delays and immune response. Zbl 1321.34108Song, Haitao; Jiang, Weihua; Liu, Shengqiang 17 2015 Modeling and optimal regulation of erythropoiesis subject to Benzene intoxication. Zbl 1075.34084Banks, H. T.; Cole, Cammey E.; Schlosser, Paul M.; Tran, Hien T. 17 2004 Impulsive ecological control of a stage-structured pest management system. Zbl 1082.34005Jiang, Guirong; Lu, Qishao; Peng, Linping 17 2005 The impact of an imperfect vaccine and Pap cytology screening on the transmission of human papillomavirus and occurrence of associated cervical dysplasia and cancer. Zbl 1273.92056Malik, Tufail; Reimer, Jody; Gumel, Abba; Elbasha, Elamin H.; Mahmud, Salaheddin 17 2013 A two-patch prey-predator model with predator dispersal driven by the predation strength. Zbl 1417.37282Kang, Yun; Sasmal, Sourav Kumar; Messan, Komi 17 2017 On the global dynamics of a model for tumor immunotherapy. Zbl 1172.37323Kirschner, Denise; Tsygvintsev, Alexei 17 2009 The stability of an SIR epidemic model with time delays. Zbl 1089.92045Jin, Zhen; Ma, Zhien 16 2006 Dynamics of a Filippov epidemic model with limited hospital beds. Zbl 1406.92625Wang, Aili; Xiao, Yanni; Zhu, Huaiping 16 2018 Modeling the impact of twitter on influenza epidemics. Zbl 1333.92063Pawelek, Kasia A.; Oeldorf-Hirsch, Anne; Rong, Libin 16 2014 A mathematical model of HTLV-I infection with two time delays. Zbl 1318.34114Lu, Xuejuan; Hui, Lulu; Liu, Shengqiang; Li, Jia 16 2015 Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay. Zbl 1410.34258Xu, Jinhu; Zhou, Yicang 16 2016 Bistability in a model of tumor-immune system interactions with an oncolytic viral therapy. Zbl 1489.92042Vithanage, G. V. R. K.; Wei, Hsiu-Chuan; Jang, Sophia R-J 3 2022 Dynamic analysis of a malaria reaction-diffusion model with periodic delays and vector bias. Zbl 1489.92190Zhao, Hongyong; Shi, Yangyang; Zhang, Xuebing 2 2022 Rhythmic behaviors of the human heart with piecewise derivative. 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Zbl 1471.92361Yang, Anji; Song, Baojun; Yuan, Sanling 4 2021 Oncolytic viral therapies and the delicate balance between virus-macrophage-tumour interactions: a mathematical approach. Zbl 1471.92144Almuallem, Nada; Trucu, Dumitru; Eftimie, Raluca 4 2021 Hopf bifurcation in an age-structured prey-predator model with Holling III response function. Zbl 1471.92269Wang, Lijun; Dai, Chuanjun; Zhao, Min 4 2021 The many behaviors of deformable active droplets. Zbl 1472.76114Young, Y.-N.; Shelley, Michael J.; Stein, David B. 3 2021 Mathematical modeling and dynamic analysis of SIQR model with delay for pandemic COVID-19. Zbl 1471.92327Lu, Hongfan; Ding, Yuting; Gong, Silin; Wang, Shishi 3 2021 Power-series solution of compartmental epidemiological models. Zbl 1471.92352Srivastava, H. M.; Area, I.; Nieto, J. J. 3 2021 An immersed boundary neural network for solving elliptic equations with singular forces on arbitrary domains. 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Zbl 1467.92186David, Jummy F.; Iyaniwura, Sarafa A.; Ward, Michael J.; Brauer, Fred 4 2020 ...and 798 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,549 Authors 54 Teng, Zhi-dong 48 Gumel, Abba B. 46 Wang, Jinliang 45 Xiao, Yanni 37 Elaiw, Ahmed M. 36 Banks, Harvey Thomas 35 Martcheva, Maia 35 Wang, Weiming 34 Li, Xuezhi 34 Ruan, Shigui 33 Jin, Zhen 33 Kuniya, Toshikazu 32 Huo, Hai-Feng 29 Qiu, Zhipeng 28 Buonomo, Bruno 28 Kuang, Yang 28 Wu, Jianhong 28 Xu, Shihe 26 Chen, Yuming 26 Li, Xiaodi 26 Takeuchi, Yasuhiro 26 Wang, Hao 26 Wang, Jin 26 Zhu, Huaiping 25 Cai, Yongli 25 Jiang, Daqing 25 Kang, Yun 25 Nyabadza, Farai 25 Schättler, Heinz Michael 24 Ledzewicz, Urszula 24 Liu, Shengqiang 24 Rong, Libin 24 Yang, Junyuan 23 Bowong, Samuel 23 Chattopadhyay, Joydev 23 Tang, Sanyi 23 Zou, Xingfu 22 d’Onofrio, Alberto 22 Lenhart, Suzanne M. 22 Mushayabasa, Steady 22 Torres, Delfim Fernando Marado 22 Xu, Rui 22 Yu, Jian-She 21 Ackleh, Azmy S. 21 Li, Jia 21 Liu, Xianning 21 Wang, Wendi 21 Wang, Xia 20 Bhunu, Claver Pedzisai 20 Cai, Liming 20 Lou, Yuan 20 Tchuenche, Jean Michel 20 Wang, Lin 20 Xiang, Hong 20 Yuan, Sanling 20 Zhou, Yicang 19 Eberl, Hermann J. 19 Misra, Arvind Kumar 19 Okuonghae, Daniel 19 Surulescu, Christina 19 Yang, Yu 19 Zhang, Tailei 18 Cosner, Chris 18 Khan, Muhammad Altaf 18 Korobeinikov, Andrei 18 Sari, Tewfik 18 Smith?, Robert Joseph 18 Zhang, Tonghua 17 Li, Wan-Tong 17 Lubuma, Jean Mbaro-Saman 17 Xu, Jinhu 16 Cao, Jinde 16 Eftimie, Raluca 16 Kumar Upadhyay, Ranjit 16 Li, Jianquan 16 Liu, Junli 16 Pirozzi, Enrica 16 Silva, Cristiana J. 16 van den Driessche, Pauline 16 Vargas-De-León, Cruz 16 Wang, Lianwen 15 Castillo-Chavez, Carlos 15 Feng, Zhilan 15 Hattaf, Khalid 15 Liu, Zhijun 15 Nakata, Yukihiko 15 Röst, Gergely 15 Tiwari, Pankaj Kumar 15 Zhang, Fengqin 15 Zhao, Hongyong 14 Banerjee, Malay 14 Basir, Fahad Al 14 Cui, Jingan 14 Enatsu, Yoichi 14 Ghosh, Mini 14 Kar, Tapan Kumar 14 Lacitignola, Deborah 14 Song, Xinyu 14 Sun, Guiquan 14 Wang, Kaifa ...and 7,449 more Authors all top 5 Cited in 406 Journals 392 Mathematical Biosciences and Engineering 254 Journal of Theoretical Biology 228 Bulletin of Mathematical Biology 220 Mathematical Biosciences 197 Journal of Mathematical Biology 184 Discrete and Continuous Dynamical Systems. 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