Edit Profile (opens in new tab) Beretta, Edoardo Compute Distance To: Compute Author ID: beretta.edoardo Published as: Beretta, Edoardo; Beretta, E. Documents Indexed: 74 Publications since 1979 Co-Authors: 36 Co-Authors with 72 Joint Publications 1,142 Co-Co-Authors all top 5 Co-Authors 2 single-authored 24 Takeuchi, Yasuhiro 20 Solimano, Fortunata 8 Capasso, Vincenzo 8 Kuang, Yang 6 Ma, Wanbiao 4 Fasano, Antonio 4 Lazzari, Claudio 3 Bischi, Gian-Italo 3 Breda, Dimitri 3 Hara, Tadayuki 3 Liu, Shengqiang 3 Tang, Yanbin 2 Carletti, Margherita 2 Fergola, Paolo 2 Hosono, Yuzo 2 Kolmanovskii, Vladimir Borisovich 2 Kon, Ryusuke 2 Morozova, Nadya 2 Vetrano, Flavio 1 An, Qi 1 Brunetti, Matteo 1 Cerasuolo, Marianna 1 Garao, Dario G. 1 Garao, Davide G. 1 Harel-Bellan, Annick 1 Huang, Gang 1 Kirschner, Denise E. 1 Marino, Simeone 1 Montagna, Matteo 1 Sakabira, Hirotatsu 1 Sakakibara, Hirotatsu 1 Scacchi, Simone 1 Shaikhet, Leonid Efimovich 1 Tenneriello, Catello 1 Wang, Chuncheng 1 Wang, Hao all top 5 Serials 7 Journal of Mathematical Biology 5 Mathematical Biosciences 5 Bulletin of Mathematical Biology 4 RIMS Kokyuroku 4 Nonlinear Analysis. Real World Applications 4 Mathematical Biosciences and Engineering 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 SIAM Journal on Applied Mathematics 3 The Canadian Applied Mathematics Quarterly 2 Journal of Mathematical Analysis and Applications 2 Differential Equations and Dynamical Systems 2 Nonlinear Analysis. Theory, Methods & Applications 1 Mathematical Methods in the Applied Sciences 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Mathematics and Computers in Simulation 1 Tôhoku Mathematical Journal. Second Series 1 Acta Applicandae Mathematicae 1 Surveys on Mathematics for Industry 1 SIAM Journal on Mathematical Analysis 1 Bollettino della Unione Matemàtica Italiana. Supplemento 1 Computers and Mathematics with Applications. Part A 1 Nonlinear World 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Communications in Applied Analysis 1 Vietnam Journal of Mathematics 1 Scientiae Mathematicae Japonicae 1 Discrete and Continuous Dynamical Systems. Series B 1 Mathematical Modelling of Natural Phenomena 1 Journal of Theoretical Biology all top 5 Fields 70 Biology and other natural sciences (92-XX) 57 Ordinary differential equations (34-XX) 10 Integral equations (45-XX) 3 Combinatorics (05-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Information and communication theory, circuits (94-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 55 Publications have been cited 2,143 times in 1,532 Documents Cited by ▼ Year ▼ Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032Kuang, Yang; Beretta, Edoardo 295 1998 Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034Beretta, Edoardo; Kuang, Yang 264 2002 Global analysis in some delayed ratio-dependent predator-prey systems. Zbl 0946.34061Beretta, Edoardo; Kuang, Yang 149 1998 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019Beretta, Edoardo; Takeuchi, Yasuhiro 135 1995 Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 130 1998 Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay. Zbl 1042.34585Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro 98 2001 Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo 97 2000 A stage-structured predator-prey model of Beddington-DeAngelis type. Zbl 1110.34059Liu, Shengqiang; Beretta, Edoardo 86 2006 Convergence results in a well-known delayed predator-prey system. Zbl 0876.92021Beretta, Edoardo; Kuang, Yang 80 1996 Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay. Zbl 0661.92018Beretta, E.; Takeuchi, Y. 77 1988 Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012Beretta, Edoardo; Kuang, Yang 65 1998 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021Beretta, E.; Takeuchi, Y. 58 1987 Stability in chemostat equations with delayed recycling. Zbl 0665.45006Beretta, E.; Bischi, G. I.; Solimano, F. 55 1990 Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo 54 2002 Convergence results in \(SIR\) epidemic models with varying population sizes. Zbl 0879.34054Beretta, Edoardo; Takeuchi, Yasuhiro 53 1997 Global stability and periodic orbits for two-patch predator-prey diffusion-delay models. Zbl 0634.92017Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 50 1987 Modeling and analysis of a marine bacteriophage infection with latency period. Zbl 1015.92049Beretta, Edoardo; Kuang, Yang 48 2001 Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability. Zbl 0868.45002Beretta, Edoardo; Takeuchi, Yasuhiro 30 1994 On the general structure of epidemic systems. Global asymptotic stability. Zbl 0622.92016Beretta, E.; Capasso, V. 27 1986 Global stability results for a multigroup SIR epidemic model. Zbl 0684.92015Beretta, E.; Capasso, V. 25 1988 Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri 22 2010 Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems. Zbl 0716.92020Beretta, E.; Capasso, V.; Rinaldi, F. 18 1988 Qualitative properties of chemostat equations with time delays. II. Zbl 0995.34068Beretta, Edoardo; Takeuchi, Yasuhiro 16 1994 Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production. Zbl 1104.92059Fergola, P.; Beretta, E.; Cerasuolo, M. 15 2006 Global stability for chemostat equations with delayed nutrient recycling. Zbl 0809.34084Beretta, E.; Takeuchi, Y. 15 1994 Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters. Zbl 1414.34056An, Qi; Beretta, Edoardo; Kuang, Yang; Wang, Chuncheng; Wang, Hao 15 2019 Graph theoretical criteria for stability and boundedness of predator-prey systems. Zbl 0496.92012Solimano, F.; Beretta, E. 13 1982 On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection. Zbl 1049.34521Beretta, E.; Carletti, M.; Solimano, F. 13 2000 The role of delays in innate and adaptive immunity to intracellular bacterial infection. Zbl 1122.92035Marino, Simeone; Beretta, Edoardo; Kirschner, Denise E. 13 2007 A generalization of Volterra models with continuous time delay in population dynamics: Boundedness and global asymptotic stability. Zbl 0659.92020Beretta, E.; Solimano, F. 12 1988 Negative criteria for the existence of periodic solutions in a class of delay-differential equations. Zbl 1087.34542Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 11 2002 Analysis of a chemostat model for bacteria and virulent bacteriophage. Zbl 1028.34067Beretta, Edoardo; Solimano, Fortunata; Tang, Yanbin 9 2002 An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062Beretta, Edoardo; Breda, Dmitri 9 2011 Global stability in a well known delayed chemostat model. Zbl 1089.34546Beretta, Edoardo; Kuang, Yang 8 2000 Nonexistence of periodic solutions in delayed Lotka–Volterra systems. Zbl 1091.34037Beretta, Edoardo; Kon, Ryusuke; Takeuchi, Yasuhiro 8 2002 Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127Beretta, Edoardo; Breda, Dimitri 6 2016 Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay. Zbl 0523.92013Solimano, F.; Beretta, E. 6 1983 Extension of a geometric stability switch criterion. Zbl 1229.39003Beretta, Edoardo; Tang, Yanbin 6 2003 Mathematical modelling of cancer stem cells population behavior. Zbl 1241.92035Beretta, E.; Capasso, V.; Morozova, N. 6 2012 Competitive systems with stage structure of distributed-delay type. Zbl 1110.34053Liu, Shengqiang; Beretta, Edoardo 6 2006 Global stability for epidemic model with constant latency and infectious periods. Zbl 1260.92056Huang, Gang; Beretta, Edoardo; Takeuchi, Yasuhiro 6 2012 Oscillations in a system with material cycling. Zbl 0713.92027Beretta, E.; Bischi, G. I.; Solimano, F. 5 1988 Ultimate boundedness for nonautonomous diffusive Lotka-Volterra patches. Zbl 0663.92016Beretta, Edoardo; Fergola, Paolo; Tenneriello, Catello 4 1988 A mathematical model for drug administration by using the phagocytosis of red blood cells. Zbl 0863.92005Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 4 1996 A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population. Zbl 1392.92094Beretta, Edoardo; Capasso, Vincenzo; Garao, Dario G. 4 2018 Numerical detection of instability regions for delay models with delay-dependent parameters. Zbl 1124.34053Carletti, Margherita; Beretta, Edoardo 4 2007 A homotopy technique for a linear generalization of Volterra models. Zbl 0669.92018Beretta, Edoardo 2 1989 Analysis of a chemostat model for bacteria and bacteriophage. Zbl 1023.92031Beretta, Edoardo; Sakakibara, Hirotatsu; Takeuchi, Yasuhiro 2 2002 Erratum to: “A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population”. Zbl 1405.92247Beretta, Edoardo; Capasso, Vincenzo; Garao, Davide G. 2 2018 Stability analysis of the phytoplankton vertial steady states in a laboratory test tube. Zbl 0807.92018Beretta, Edoardo; Fasano, Antonio; Hosono, Yuzo; Kolmanovskij, V. B. 2 1994 Some results on the population behavior of cancer stem cells. Zbl 1316.92032Beretta, Edoardo; Morozova, Nadya; Capasso, Vincenzo; Harel-Bellan, Annick 1 2012 Stability analysis of time delayed chemostat models for bacteria virulent phage. Zbl 1142.92340Beretta, Edoardo; Sakabira, Hirotatsu; Takeuchi, Yasuhiro 1 2003 Some results about nonlinear chemical systems represented by trees and cycles. Zbl 0405.92022Beretta, E.; Vetrano, F.; Solimano, F.; Lazzari, C. 1 1979 Stability analysis of a Volterra predator-prey system with two delays. Zbl 1049.34094Tang, Yanbin; Beretta, Edoardo; Solimano, Fortunata 1 2001 Mathematical model for the dynamics of a phytoplankton population. Zbl 0742.92021Beretta, E.; Fasano, A. 1 1991 Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters. Zbl 1414.34056An, Qi; Beretta, Edoardo; Kuang, Yang; Wang, Chuncheng; Wang, Hao 15 2019 A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population. Zbl 1392.92094Beretta, Edoardo; Capasso, Vincenzo; Garao, Dario G. 4 2018 Erratum to: “A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population”. Zbl 1405.92247Beretta, Edoardo; Capasso, Vincenzo; Garao, Davide G. 2 2018 Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127Beretta, Edoardo; Breda, Dimitri 6 2016 Mathematical modelling of cancer stem cells population behavior. Zbl 1241.92035Beretta, E.; Capasso, V.; Morozova, N. 6 2012 Global stability for epidemic model with constant latency and infectious periods. Zbl 1260.92056Huang, Gang; Beretta, Edoardo; Takeuchi, Yasuhiro 6 2012 Some results on the population behavior of cancer stem cells. Zbl 1316.92032Beretta, Edoardo; Morozova, Nadya; Capasso, Vincenzo; Harel-Bellan, Annick 1 2012 An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062Beretta, Edoardo; Breda, Dmitri 9 2011 Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri 22 2010 The role of delays in innate and adaptive immunity to intracellular bacterial infection. Zbl 1122.92035Marino, Simeone; Beretta, Edoardo; Kirschner, Denise E. 13 2007 Numerical detection of instability regions for delay models with delay-dependent parameters. Zbl 1124.34053Carletti, Margherita; Beretta, Edoardo 4 2007 A stage-structured predator-prey model of Beddington-DeAngelis type. Zbl 1110.34059Liu, Shengqiang; Beretta, Edoardo 86 2006 Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production. Zbl 1104.92059Fergola, P.; Beretta, E.; Cerasuolo, M. 15 2006 Competitive systems with stage structure of distributed-delay type. Zbl 1110.34053Liu, Shengqiang; Beretta, Edoardo 6 2006 Extension of a geometric stability switch criterion. Zbl 1229.39003Beretta, Edoardo; Tang, Yanbin 6 2003 Stability analysis of time delayed chemostat models for bacteria virulent phage. Zbl 1142.92340Beretta, Edoardo; Sakabira, Hirotatsu; Takeuchi, Yasuhiro 1 2003 Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034Beretta, Edoardo; Kuang, Yang 264 2002 Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo 54 2002 Negative criteria for the existence of periodic solutions in a class of delay-differential equations. Zbl 1087.34542Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 11 2002 Analysis of a chemostat model for bacteria and virulent bacteriophage. Zbl 1028.34067Beretta, Edoardo; Solimano, Fortunata; Tang, Yanbin 9 2002 Nonexistence of periodic solutions in delayed Lotka–Volterra systems. Zbl 1091.34037Beretta, Edoardo; Kon, Ryusuke; Takeuchi, Yasuhiro 8 2002 Analysis of a chemostat model for bacteria and bacteriophage. Zbl 1023.92031Beretta, Edoardo; Sakakibara, Hirotatsu; Takeuchi, Yasuhiro 2 2002 Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay. Zbl 1042.34585Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro 98 2001 Modeling and analysis of a marine bacteriophage infection with latency period. Zbl 1015.92049Beretta, Edoardo; Kuang, Yang 48 2001 Stability analysis of a Volterra predator-prey system with two delays. Zbl 1049.34094Tang, Yanbin; Beretta, Edoardo; Solimano, Fortunata 1 2001 Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo 97 2000 On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection. Zbl 1049.34521Beretta, E.; Carletti, M.; Solimano, F. 13 2000 Global stability in a well known delayed chemostat model. Zbl 1089.34546Beretta, Edoardo; Kuang, Yang 8 2000 Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032Kuang, Yang; Beretta, Edoardo 295 1998 Global analysis in some delayed ratio-dependent predator-prey systems. Zbl 0946.34061Beretta, Edoardo; Kuang, Yang 149 1998 Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 130 1998 Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012Beretta, Edoardo; Kuang, Yang 65 1998 Convergence results in \(SIR\) epidemic models with varying population sizes. Zbl 0879.34054Beretta, Edoardo; Takeuchi, Yasuhiro 53 1997 Convergence results in a well-known delayed predator-prey system. Zbl 0876.92021Beretta, Edoardo; Kuang, Yang 80 1996 A mathematical model for drug administration by using the phagocytosis of red blood cells. Zbl 0863.92005Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 4 1996 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019Beretta, Edoardo; Takeuchi, Yasuhiro 135 1995 Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability. Zbl 0868.45002Beretta, Edoardo; Takeuchi, Yasuhiro 30 1994 Qualitative properties of chemostat equations with time delays. II. Zbl 0995.34068Beretta, Edoardo; Takeuchi, Yasuhiro 16 1994 Global stability for chemostat equations with delayed nutrient recycling. Zbl 0809.34084Beretta, E.; Takeuchi, Y. 15 1994 Stability analysis of the phytoplankton vertial steady states in a laboratory test tube. Zbl 0807.92018Beretta, Edoardo; Fasano, Antonio; Hosono, Yuzo; Kolmanovskij, V. B. 2 1994 Mathematical model for the dynamics of a phytoplankton population. Zbl 0742.92021Beretta, E.; Fasano, A. 1 1991 Stability in chemostat equations with delayed recycling. Zbl 0665.45006Beretta, E.; Bischi, G. I.; Solimano, F. 55 1990 A homotopy technique for a linear generalization of Volterra models. Zbl 0669.92018Beretta, Edoardo 2 1989 Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay. Zbl 0661.92018Beretta, E.; Takeuchi, Y. 77 1988 Global stability results for a multigroup SIR epidemic model. Zbl 0684.92015Beretta, E.; Capasso, V. 25 1988 Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems. Zbl 0716.92020Beretta, E.; Capasso, V.; Rinaldi, F. 18 1988 A generalization of Volterra models with continuous time delay in population dynamics: Boundedness and global asymptotic stability. Zbl 0659.92020Beretta, E.; Solimano, F. 12 1988 Oscillations in a system with material cycling. Zbl 0713.92027Beretta, E.; Bischi, G. I.; Solimano, F. 5 1988 Ultimate boundedness for nonautonomous diffusive Lotka-Volterra patches. Zbl 0663.92016Beretta, Edoardo; Fergola, Paolo; Tenneriello, Catello 4 1988 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021Beretta, E.; Takeuchi, Y. 58 1987 Global stability and periodic orbits for two-patch predator-prey diffusion-delay models. Zbl 0634.92017Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 50 1987 On the general structure of epidemic systems. Global asymptotic stability. Zbl 0622.92016Beretta, E.; Capasso, V. 27 1986 Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay. Zbl 0523.92013Solimano, F.; Beretta, E. 6 1983 Graph theoretical criteria for stability and boundedness of predator-prey systems. Zbl 0496.92012Solimano, F.; Beretta, E. 13 1982 Some results about nonlinear chemical systems represented by trees and cycles. Zbl 0405.92022Beretta, E.; Vetrano, F.; Solimano, F.; Lazzari, C. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,968 Authors 42 Chen, Lansun 37 Jiang, Daqing 37 Xu, Rui 35 Takeuchi, Yasuhiro 35 Teng, Zhi-dong 29 Wei, Junjie 21 Beretta, Edoardo 20 Yuan, Sanling 19 Kuang, Yang 18 Chattopadhyay, Joydev 18 Meng, Xinzhu 17 Ma, Wanbiao 16 Jiang, Zhichao 16 Lahrouz, Aadil 16 Shaikhet, Leonid Efimovich 16 Song, Xinyu 15 Cui, Jingan 15 Huo, Hai-Feng 15 Liu, Shengqiang 15 Ruan, Shigui 14 Ji, Chunyan 14 Wang, Weiming 14 Wang, Wendi 14 Zhang, Long 13 Ahn, Inkyung 13 Chaplain, Mark A. J. 13 Ma, Zhien 13 Samanta, Guru Prasad 13 Zhang, Tonghua 12 Jiao, Jianjun 12 Kar, Tapan Kumar 12 Li, Xuezhi 12 Settati, Adel 11 Banerjee, Malay 11 Jin, Zhen 11 Pal, Samaresh 11 Song, Yongli 11 Zhou, Xueyong 10 Davidson, Fordyce A. 10 Li, Wan-Tong 10 Wang, Ke 9 Cai, Liming 9 Enatsu, Yoichi 9 Jiang, Weihua 9 Liu, Qun 9 Liu, Zijian 9 Samanta, Sudip K. 9 Shu, Hongying 9 Wang, Lin 9 Zhang, Tongqian 9 Zou, Xingfu 8 Bairagi, Nandadulal 8 Cai, Shaohong 8 Cai, Yongli 8 Ding, Xiaoquan 8 El Fatini, Mohamed 8 Fan, Yonghong 8 Han, Maoan 8 Kumar Upadhyay, Ranjit 8 Muroya, Yoshiaki 8 Nakata, Yukihiko 8 Shi, Ningzhong 8 Tang, Sanyi 8 Venturino, Ezio 8 Zhang, Fengqin 8 Zhang, Tailei 8 Zhang, Xiaobing 8 Zhang, Zhonghua 7 Adimy, Mostafa 7 Buonomo, Bruno 7 Cao, Jinde 7 Fergola, Paolo 7 Gakkhar, Sunita 7 Gan, Qintao 7 Gazi, Nurul Huda 7 Hayat, Tasawar 7 Ko, Wonlyul 7 Li, Michael Yi 7 Lin, Zhigui 7 Maiti, Alakes 7 Rao, Vadrevu Sree Hari 7 She, Zhikun 7 Shi, Xiangyun 7 Solimano, Fortunata 7 Wanduku, Divine 7 Wang, Jinliang 7 Xia, Yonghui 7 Xu, Changjin 7 Zhao, Min 7 Zhong, Shou-Ming 6 Abbas, Syed 6 Fan, Meng 6 Garira, Winston S. 6 Huang, Lihong 6 Jana, Debaldev 6 Khajanchi, Subhas 6 Koshmanenko, Volodymyr Dmytrovych 6 Lacitignola, Deborah 6 Li, Jianquan 6 Liu, Gui Rong ...and 1,868 more Authors all top 5 Cited in 181 Serials 116 Applied Mathematics and Computation 93 Nonlinear Analysis. Real World Applications 79 Journal of Mathematical Analysis and Applications 75 Chaos, Solitons and Fractals 51 Advances in Difference Equations 51 International Journal of Biomathematics 46 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 44 Mathematical Biosciences 44 Abstract and Applied Analysis 42 Mathematical Biosciences and Engineering 35 Journal of Applied Mathematics and Computing 34 Physica A 34 Discrete Dynamics in Nature and Society 34 Communications in Nonlinear Science and Numerical Simulation 34 Discrete and Continuous Dynamical Systems. Series B 33 Applied Mathematical Modelling 33 Nonlinear Dynamics 29 Journal of Mathematical Biology 27 Bulletin of Mathematical Biology 26 Journal of Computational and Applied Mathematics 26 Journal of Theoretical Biology 22 Computers & Mathematics with Applications 20 Journal of Biological Systems 19 Mathematical Methods in the Applied Sciences 19 Mathematical and Computer Modelling 17 Journal of Biological Dynamics 15 Journal of Differential Equations 14 Journal of the Franklin Institute 14 Mathematics and Computers in Simulation 13 Journal of Applied Analysis and Computation 12 Applied Mathematics Letters 11 Applicable Analysis 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Chaos 10 Mathematical Modelling of Natural Phenomena 9 Differential Equations and Dynamical Systems 9 Computational & Mathematical Methods in Medicine 8 Stochastic Analysis and Applications 8 Complexity 8 Mathematical Problems in Engineering 8 Journal of Applied Mathematics 7 Acta Mathematicae Applicatae Sinica. English Series 7 Nonlinear Analysis. Theory, Methods & Applications 6 Rocky Mountain Journal of Mathematics 6 Communications on Pure and Applied Analysis 6 International Journal of Applied and Computational Mathematics 5 International Journal of Mathematics and Mathematical Sciences 5 Acta Applicandae Mathematicae 5 Physica D 5 SIAM Journal on Applied Mathematics 5 Journal of Applied Nonlinear Dynamics 4 Journal of Dynamics and Differential Equations 4 Computational and Applied Mathematics 4 Filomat 4 The ANZIAM Journal 4 Nonlinear Analysis. Modelling and Control 4 Journal of Systems Science and Complexity 4 Nonlinear Analysis. Hybrid Systems 4 Journal of Nonlinear Science and Applications 4 International Journal of Differential Equations 3 Nonlinearity 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Ricerche di Matematica 3 Applied Mathematics and Mechanics. (English Edition) 3 Japan Journal of Industrial and Applied Mathematics 3 Applications of Mathematics 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Journal of Difference Equations and Applications 3 Journal of Mathematical Chemistry 3 Natural Resource Modeling 3 Dynamical Systems 3 Advances in Complex Systems 3 Stochastics and Dynamics 3 Boundary Value Problems 3 Nonlinear Oscillations 3 Discrete and Continuous Dynamical Systems. Series S 3 Afrika Matematika 3 Discontinuity, Nonlinearity, and Complexity 3 Cogent Mathematics 3 AIMS Mathematics 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Theoretical Population Biology 2 Statistics & Probability Letters 2 Applied Numerical Mathematics 2 Journal of Scientific Computing 2 Numerical Algorithms 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 Applied Mathematics. Series B (English Edition) 2 Journal of the Egyptian Mathematical Society 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Vietnam Journal of Mathematics 2 Journal of Inequalities and Applications 2 Journal of Dynamical and Control Systems 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 International Journal of Modern Physics C 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms ...and 81 more Serials all top 5 Cited in 30 Fields 1,370 Biology and other natural sciences (92-XX) 988 Ordinary differential equations (34-XX) 231 Dynamical systems and ergodic theory (37-XX) 171 Partial differential equations (35-XX) 124 Probability theory and stochastic processes (60-XX) 107 Numerical analysis (65-XX) 90 Systems theory; control (93-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Difference and functional equations (39-XX) 26 Integral equations (45-XX) 25 Operator theory (47-XX) 22 Statistical mechanics, structure of matter (82-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 9 Computer science (68-XX) 8 Combinatorics (05-XX) 8 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 5 Operations research, mathematical programming (90-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year