Edit Profile (opens in new tab) Beretta, Edoardo Co-Author Distance Author ID: beretta.edoardo Published as: Beretta, Edoardo; Beretta, E. Documents Indexed: 75 Publications since 1979 Co-Authors: 39 Co-Authors with 73 Joint Publications 1,465 Co-Co-Authors all top 5 Co-Authors 2 single-authored 24 Takeuchi, Yasuhiro 20 Solimano, Fortunata 9 Capasso, Vincenzo 8 Kuang, Yang 6 Ma, Wanbiao 4 Fasano, Antonio 4 Lazzari, Claudio 3 Bischi, Gian-Italo 3 Hara, Tadayuki 3 Liu, Shengqiang 3 Tang, Yanbin 2 Breda, Dimitri 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 Aniţa, Sebastian 1 Breda, Dmitri 1 Brunetti, Matteo 1 Cerasuolo, Marianna 1 Chattopadhyay, Joydev 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 1 Biomath all top 5 Fields 71 Biology and other natural sciences (92-XX) 58 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 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Information and communication theory, circuits (94-XX) 1 Difference and functional equations (39-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 2,523 times in 1,812 Documents Cited by ▼ Year ▼ Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032 Kuang, Yang; Beretta, Edoardo 337 1998 Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034 Beretta, Edoardo; Kuang, Yang 325 2002 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019 Beretta, Edoardo; Takeuchi, Yasuhiro 166 1995 Global analysis in some delayed ratio-dependent predator-prey systems. Zbl 0946.34061 Beretta, Edoardo; Kuang, Yang 162 1998 Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504 Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 155 1998 Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay. Zbl 1042.34585 Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro 121 2001 Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070 Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo 115 2000 A stage-structured predator-prey model of Beddington-DeAngelis type. Zbl 1110.34059 Liu, Shengqiang; Beretta, Edoardo 108 2006 Convergence results in a well-known delayed predator-prey system. Zbl 0876.92021 Beretta, Edoardo; Kuang, Yang 91 1996 Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay. Zbl 0661.92018 Beretta, E.; Takeuchi, Y. 77 1988 Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012 Beretta, Edoardo; Kuang, Yang 75 1998 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021 Beretta, E.; Takeuchi, Y. 64 1987 Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033 Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo 61 2002 Convergence results in \(SIR\) epidemic models with varying population sizes. Zbl 0879.34054 Beretta, Edoardo; Takeuchi, Yasuhiro 59 1997 Stability in chemostat equations with delayed recycling. Zbl 0665.45006 Beretta, E.; Bischi, G. I.; Solimano, F. 57 1990 Modeling and analysis of a marine bacteriophage infection with latency period. Zbl 1015.92049 Beretta, Edoardo; Kuang, Yang 52 2001 Global stability and periodic orbits for two-patch predator-prey diffusion-delay models. Zbl 0634.92017 Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 51 1987 Global stability results for a multigroup SIR epidemic model. Zbl 0684.92015 Beretta, E.; Capasso, V. 43 1988 On the general structure of epidemic systems. Global asymptotic stability. Zbl 0622.92016 Beretta, E.; Capasso, V. 37 1986 Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters. Zbl 1414.34056 An, Qi; Beretta, Edoardo; Kuang, Yang; Wang, Chuncheng; Wang, Hao 35 2019 Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability. Zbl 0868.45002 Beretta, Edoardo; Takeuchi, Yasuhiro 32 1994 Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124 Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri 27 2010 Qualitative properties of chemostat equations with time delays. II. Zbl 0995.34068 Beretta, Edoardo; Takeuchi, Yasuhiro 18 1994 The role of delays in innate and adaptive immunity to intracellular bacterial infection. Zbl 1122.92035 Marino, Simeone; Beretta, Edoardo; Kirschner, Denise E. 18 2007 Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems. Zbl 0716.92020 Beretta, E.; Capasso, V.; Rinaldi, F. 18 1988 Global stability for chemostat equations with delayed nutrient recycling. Zbl 0809.34084 Beretta, E.; Takeuchi, Y. 16 1994 Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production. Zbl 1104.92059 Fergola, P.; Beretta, E.; Cerasuolo, M. 15 2006 On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection. Zbl 1049.34521 Beretta, E.; Carletti, M.; Solimano, F. 14 2000 An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062 Beretta, Edoardo; Breda, Dmitri 14 2011 A generalization of Volterra models with continuous time delay in population dynamics: Boundedness and global asymptotic stability. Zbl 0659.92020 Beretta, E.; Solimano, F. 13 1988 Graph theoretical criteria for stability and boundedness of predator-prey systems. Zbl 0496.92012 Solimano, F.; Beretta, E. 13 1982 Negative criteria for the existence of periodic solutions in a class of delay-differential equations. Zbl 1087.34542 Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 12 2002 Analysis of a chemostat model for bacteria and virulent bacteriophage. Zbl 1028.34067 Beretta, Edoardo; Solimano, Fortunata; Tang, Yanbin 11 2002 Nonexistence of periodic solutions in delayed Lotka–Volterra systems. Zbl 1091.34037 Beretta, Edoardo; Kon, Ryusuke; Takeuchi, Yasuhiro 9 2002 Global stability in a well known delayed chemostat model. Zbl 1089.34546 Beretta, Edoardo; Kuang, Yang 9 2000 Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127 Beretta, Edoardo; Breda, Dimitri 9 2016 A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population. Zbl 1392.92094 Beretta, Edoardo; Capasso, Vincenzo; Garao, Dario G. 8 2018 Extension of a geometric stability switch criterion. Zbl 1229.39003 Beretta, Edoardo; Tang, Yanbin 7 2003 Mathematical modelling of cancer stem cells population behavior. Zbl 1241.92035 Beretta, E.; Capasso, V.; Morozova, N. 7 2012 Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay. Zbl 0523.92013 Solimano, F.; Beretta, E. 6 1983 Competitive systems with stage structure of distributed-delay type. Zbl 1110.34053 Liu, Shengqiang; Beretta, Edoardo 6 2006 Oscillations in a system with material cycling. Zbl 0713.92027 Beretta, E.; Bischi, G. I.; Solimano, F. 6 1988 Global stability for epidemic model with constant latency and infectious periods. Zbl 1260.92056 Huang, Gang; Beretta, Edoardo; Takeuchi, Yasuhiro 6 2012 Optimal control strategies for a class of vector borne diseases, exemplified by a toy model for malaria. Zbl 1515.92065 Anita, Sebastian; Beretta, Edoardo; Capasso, Vincenzo 5 2019 A mathematical model for drug administration by using the phagocytosis of red blood cells. Zbl 0863.92005 Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 4 1996 Ultimate boundedness for nonautonomous diffusive Lotka-Volterra patches. Zbl 0663.92016 Beretta, Edoardo; Fergola, Paolo; Tenneriello, Catello 4 1988 Numerical detection of instability regions for delay models with delay-dependent parameters. Zbl 1124.34053 Carletti, Margherita; Beretta, Edoardo 4 2007 Analysis of a chemostat model for bacteria and bacteriophage. Zbl 1023.92031 Beretta, Edoardo; Sakakibara, Hirotatsu; Takeuchi, Yasuhiro 3 2002 Stability analysis of time delayed chemostat models for bacteria virulent phage. Zbl 1142.92340 Beretta, Edoardo; Sakabira, Hirotatsu; Takeuchi, Yasuhiro 3 2003 Erratum to: “A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population”. Zbl 1405.92247 Beretta, Edoardo; Capasso, Vincenzo; Garao, Davide G. 3 2018 Stability analysis of the phytoplankton vertial steady states in a laboratory test tube. Zbl 0807.92018 Beretta, Edoardo; Fasano, Antonio; Hosono, Yuzo; Kolmanovskij, V. B. 2 1994 The effect of time delay on stability in a bacteria-bacteriophage model. Zbl 1059.92038 Beretta, E.; Solimano, F. 2 2003 A homotopy technique for a linear generalization of Volterra models. Zbl 0669.92018 Beretta, Edoardo 2 1989 Prevention and control of OQDS (olive quick decline syndrome) outbreaks caused by Xylella fastidiosa. Zbl 1489.92140 Beretta, Edoardo; Capasso, Vincenzo; Scacchi, Simone; Brunetti, Matteo; Montagna, Matteo 2 2022 Stability analysis of a Volterra predator-prey system with two delays. Zbl 1049.34094 Tang, Yanbin; Beretta, Edoardo; Solimano, Fortunata 1 2001 Mathematical model for the dynamics of a phytoplankton population. Zbl 0742.92021 Beretta, E.; Fasano, A. 1 1991 Some results about nonlinear chemical systems represented by trees and cycles. Zbl 0405.92022 Beretta, E.; Vetrano, F.; Solimano, F.; Lazzari, C. 1 1979 Some results on the population behavior of cancer stem cells. Zbl 1316.92032 Beretta, Edoardo; Morozova, Nadya; Capasso, Vincenzo; Harel-Bellan, Annick 1 2012 Prevention and control of OQDS (olive quick decline syndrome) outbreaks caused by Xylella fastidiosa. Zbl 1489.92140 Beretta, Edoardo; Capasso, Vincenzo; Scacchi, Simone; Brunetti, Matteo; Montagna, Matteo 2 2022 Geometric stability switch criteria in delay differential equations with two delays and delay dependent parameters. Zbl 1414.34056 An, Qi; Beretta, Edoardo; Kuang, Yang; Wang, Chuncheng; Wang, Hao 35 2019 Optimal control strategies for a class of vector borne diseases, exemplified by a toy model for malaria. Zbl 1515.92065 Anita, Sebastian; Beretta, Edoardo; Capasso, Vincenzo 5 2019 A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population. Zbl 1392.92094 Beretta, Edoardo; Capasso, Vincenzo; Garao, Dario G. 8 2018 Erratum to: “A mathematical model for malaria transmission with asymptomatic carriers and two age groups in the human population”. Zbl 1405.92247 Beretta, Edoardo; Capasso, Vincenzo; Garao, Davide G. 3 2018 Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127 Beretta, Edoardo; Breda, Dimitri 9 2016 Mathematical modelling of cancer stem cells population behavior. Zbl 1241.92035 Beretta, E.; Capasso, V.; Morozova, N. 7 2012 Global stability for epidemic model with constant latency and infectious periods. Zbl 1260.92056 Huang, Gang; Beretta, Edoardo; Takeuchi, Yasuhiro 6 2012 Some results on the population behavior of cancer stem cells. Zbl 1316.92032 Beretta, Edoardo; Morozova, Nadya; Capasso, Vincenzo; Harel-Bellan, Annick 1 2012 An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062 Beretta, Edoardo; Breda, Dmitri 14 2011 Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124 Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri 27 2010 The role of delays in innate and adaptive immunity to intracellular bacterial infection. Zbl 1122.92035 Marino, Simeone; Beretta, Edoardo; Kirschner, Denise E. 18 2007 Numerical detection of instability regions for delay models with delay-dependent parameters. Zbl 1124.34053 Carletti, Margherita; Beretta, Edoardo 4 2007 A stage-structured predator-prey model of Beddington-DeAngelis type. Zbl 1110.34059 Liu, Shengqiang; Beretta, Edoardo 108 2006 Some new results on an allelopathic competition model with quorum sensing and delayed toxicant production. Zbl 1104.92059 Fergola, P.; Beretta, E.; Cerasuolo, M. 15 2006 Competitive systems with stage structure of distributed-delay type. Zbl 1110.34053 Liu, Shengqiang; Beretta, Edoardo 6 2006 Extension of a geometric stability switch criterion. Zbl 1229.39003 Beretta, Edoardo; Tang, Yanbin 7 2003 Stability analysis of time delayed chemostat models for bacteria virulent phage. Zbl 1142.92340 Beretta, Edoardo; Sakabira, Hirotatsu; Takeuchi, Yasuhiro 3 2003 The effect of time delay on stability in a bacteria-bacteriophage model. Zbl 1059.92038 Beretta, E.; Solimano, F. 2 2003 Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034 Beretta, Edoardo; Kuang, Yang 325 2002 Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033 Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo 61 2002 Negative criteria for the existence of periodic solutions in a class of delay-differential equations. Zbl 1087.34542 Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 12 2002 Analysis of a chemostat model for bacteria and virulent bacteriophage. Zbl 1028.34067 Beretta, Edoardo; Solimano, Fortunata; Tang, Yanbin 11 2002 Nonexistence of periodic solutions in delayed Lotka–Volterra systems. Zbl 1091.34037 Beretta, Edoardo; Kon, Ryusuke; Takeuchi, Yasuhiro 9 2002 Analysis of a chemostat model for bacteria and bacteriophage. Zbl 1023.92031 Beretta, Edoardo; Sakakibara, Hirotatsu; Takeuchi, Yasuhiro 3 2002 Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay. Zbl 1042.34585 Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro 121 2001 Modeling and analysis of a marine bacteriophage infection with latency period. Zbl 1015.92049 Beretta, Edoardo; Kuang, Yang 52 2001 Stability analysis of a Volterra predator-prey system with two delays. Zbl 1049.34094 Tang, Yanbin; Beretta, Edoardo; Solimano, Fortunata 1 2001 Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070 Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo 115 2000 On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection. Zbl 1049.34521 Beretta, E.; Carletti, M.; Solimano, F. 14 2000 Global stability in a well known delayed chemostat model. Zbl 1089.34546 Beretta, Edoardo; Kuang, Yang 9 2000 Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032 Kuang, Yang; Beretta, Edoardo 337 1998 Global analysis in some delayed ratio-dependent predator-prey systems. Zbl 0946.34061 Beretta, Edoardo; Kuang, Yang 162 1998 Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504 Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid 155 1998 Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012 Beretta, Edoardo; Kuang, Yang 75 1998 Convergence results in \(SIR\) epidemic models with varying population sizes. Zbl 0879.34054 Beretta, Edoardo; Takeuchi, Yasuhiro 59 1997 Convergence results in a well-known delayed predator-prey system. Zbl 0876.92021 Beretta, Edoardo; Kuang, Yang 91 1996 A mathematical model for drug administration by using the phagocytosis of red blood cells. Zbl 0863.92005 Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 4 1996 Global stability of an SIR epidemic model with time delays. Zbl 0811.92019 Beretta, Edoardo; Takeuchi, Yasuhiro 166 1995 Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability. Zbl 0868.45002 Beretta, Edoardo; Takeuchi, Yasuhiro 32 1994 Qualitative properties of chemostat equations with time delays. II. Zbl 0995.34068 Beretta, Edoardo; Takeuchi, Yasuhiro 18 1994 Global stability for chemostat equations with delayed nutrient recycling. Zbl 0809.34084 Beretta, E.; Takeuchi, Y. 16 1994 Stability analysis of the phytoplankton vertial steady states in a laboratory test tube. Zbl 0807.92018 Beretta, Edoardo; Fasano, Antonio; Hosono, Yuzo; Kolmanovskij, V. B. 2 1994 Mathematical model for the dynamics of a phytoplankton population. Zbl 0742.92021 Beretta, E.; Fasano, A. 1 1991 Stability in chemostat equations with delayed recycling. Zbl 0665.45006 Beretta, E.; Bischi, G. I.; Solimano, F. 57 1990 A homotopy technique for a linear generalization of Volterra models. Zbl 0669.92018 Beretta, Edoardo 2 1989 Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay. Zbl 0661.92018 Beretta, E.; Takeuchi, Y. 77 1988 Global stability results for a multigroup SIR epidemic model. Zbl 0684.92015 Beretta, E.; Capasso, V. 43 1988 Global stability results for a generalized Lotka-Volterra system with distributed delays. Applications to predator-prey and epidemic systems. Zbl 0716.92020 Beretta, 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 0659.92020 Beretta, E.; Solimano, F. 13 1988 Oscillations in a system with material cycling. Zbl 0713.92027 Beretta, E.; Bischi, G. I.; Solimano, F. 6 1988 Ultimate boundedness for nonautonomous diffusive Lotka-Volterra patches. Zbl 0663.92016 Beretta, Edoardo; Fergola, Paolo; Tenneriello, Catello 4 1988 Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021 Beretta, E.; Takeuchi, Y. 64 1987 Global stability and periodic orbits for two-patch predator-prey diffusion-delay models. Zbl 0634.92017 Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro 51 1987 On the general structure of epidemic systems. Global asymptotic stability. Zbl 0622.92016 Beretta, E.; Capasso, V. 37 1986 Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay. Zbl 0523.92013 Solimano, F.; Beretta, E. 6 1983 Graph theoretical criteria for stability and boundedness of predator-prey systems. Zbl 0496.92012 Solimano, F.; Beretta, E. 13 1982 Some results about nonlinear chemical systems represented by trees and cycles. Zbl 0405.92022 Beretta, E.; Vetrano, F.; Solimano, F.; Lazzari, C. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 2,379 Authors 46 Jiang, Daqing 43 Chen, Lansun 39 Xu, Rui 37 Takeuchi, Yasuhiro 37 Teng, Zhi-dong 31 Wei, Junjie 23 Yuan, Sanling 22 Beretta, Edoardo 20 Chattopadhyay, Joydev 19 Kuang, Yang 19 Lahrouz, Aadil 19 Ma, Wanbiao 19 Samanta, Guru Prasad 18 Jiang, Zhichao 18 Meng, Xinzhu 18 Shaikhet, Leonid Efimovich 18 Song, Xinyu 17 Liu, Shengqiang 16 Ji, Chunyan 16 Pal, Samaresh 16 Zhang, Long 15 Banerjee, Malay 15 Cui, Jingan 15 Huo, Hai-Feng 15 Ruan, Shigui 15 Settati, Adel 15 Zhang, Tonghua 14 Ahn, Inkyung 14 Liu, Qun 14 Song, Yongli 14 Wang, Weiming 14 Wang, Wendi 13 Chaplain, Mark A. J. 13 Jiao, Jianjun 13 Jin, Zhen 13 Kar, Tapan Kumar 13 Ma, Zhien 12 Li, Xuezhi 12 Shu, Hongying 12 Wang, Hao 12 Wang, Ke 11 Adimy, Mostafa 11 Djilali, Salih 11 El Fatini, Mohamed 11 Li, Wan-Tong 11 Samanta, Sudip 11 Shi, Ningzhong 11 Tripathi, Jai Prakash 11 Wang, Lin 11 Zhou, Xueyong 10 Davidson, Fordyce A. 10 Enatsu, Yoichi 10 Hayat, Tasawar 10 Kumar Upadhyay, Ranjit 10 Zou, Xingfu 9 Abbas, Syed 9 Cai, Liming 9 Huang, Lihong 9 Jiang, Weihua 9 Kuniya, Toshikazu 9 Liu, Zijian 9 Venturino, Ezio 9 Zhang, Juan 9 Zhang, Tailei 9 Zhang, Tongqian 8 Bairagi, Nandadulal 8 Cai, Shaohong 8 Cai, Yongli 8 Cao, Jinde 8 Capasso, Vincenzo 8 Chen, Yuming 8 Ding, Xiaoquan 8 Fan, Yonghong 8 Han, Maoan 8 Ko, Wonlyul 8 Muroya, Yoshiaki 8 Nakata, Yukihiko 8 Sun, Guiquan 8 Tang, Sanyi 8 Wanduku, Divine 8 Wang, Jinliang 8 Xu, Changjin 8 Zhang, Fengqin 8 Zhang, Xiaobing 8 Zhang, Zhonghua 8 Zhao, Min 7 Al-saedi, Ahmed Eid Salem 7 Buonomo, Bruno 7 Fergola, Paolo 7 Gakkhar, Sunita 7 Gan, Qintao 7 Gazi, Nurul Huda 7 Guin, Lakshmi Narayan 7 Jana, Debaldev 7 Li, Jianquan 7 Li, Michael Yi 7 Lin, Zhigui 7 Liu, Meng 7 Maiti, Alakes 7 Rao, Vadrevu Sree Hari ...and 2,279 more Authors all top 5 Cited in 217 Serials 116 Applied Mathematics and Computation 95 Nonlinear Analysis. Real World Applications 83 Journal of Mathematical Analysis and Applications 81 Chaos, Solitons and Fractals 58 International Journal of Biomathematics 55 Mathematical Methods in the Applied Sciences 55 Communications in Nonlinear Science and Numerical Simulation 54 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 52 Advances in Difference Equations 48 Mathematical Biosciences and Engineering 47 Discrete and Continuous Dynamical Systems. Series B 46 Mathematical Biosciences 45 Abstract and Applied Analysis 40 Journal of Applied Mathematics and Computing 37 Physica A 37 Applied Mathematical Modelling 36 Nonlinear Dynamics 34 Journal of Mathematical Biology 34 Discrete Dynamics in Nature and Society 29 Bulletin of Mathematical Biology 29 Journal of Theoretical Biology 26 Journal of Computational and Applied Mathematics 26 Journal of Biological Systems 22 Computers & Mathematics with Applications 22 Journal of Differential Equations 21 Mathematics and Computers in Simulation 21 Journal of Biological Dynamics 21 Journal of Applied Analysis and Computation 19 Mathematical and Computer Modelling 16 Journal of the Franklin Institute 15 Applied Mathematics Letters 15 Chaos 14 Applicable Analysis 11 Mathematical Modelling of Natural Phenomena 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Stochastic Analysis and Applications 10 Differential Equations and Dynamical Systems 10 Computational & Mathematical Methods in Medicine 9 Journal of Applied Mathematics 8 Complexity 8 Mathematical Problems in Engineering 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Physica D 7 Acta Mathematicae Applicatae Sinica. English Series 7 SIAM Journal on Applied Mathematics 7 Computational and Applied Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 Rocky Mountain Journal of Mathematics 6 Journal of Dynamics and Differential Equations 6 Qualitative Theory of Dynamical Systems 6 Nonlinear Analysis. Modelling and Control 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 Nonlinear Analysis. Hybrid Systems 5 Journal of Applied Nonlinear Dynamics 4 Nonlinearity 4 International Journal of Computer Mathematics 4 International Journal of Robust and Nonlinear Control 4 Filomat 4 The ANZIAM Journal 4 Journal of Systems Science and Complexity 4 Stochastics and Dynamics 4 Journal of Physics A: Mathematical and Theoretical 4 Journal of Nonlinear Science and Applications 4 International Journal of Differential Equations 4 Nonautonomous Dynamical Systems 4 Electronic Research Archive 3 Ricerche di Matematica 3 Statistics & Probability Letters 3 Applied Mathematics and Mechanics. (English Edition) 3 Applied Numerical Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Applications of Mathematics 3 Numerical Algorithms 3 Fractals 3 Journal of Difference Equations and Applications 3 Journal of Mathematical Chemistry 3 Natural Resource Modeling 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Dynamical Systems 3 Advances in Complex Systems 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 3 Mathematics in Applied Sciences and Engineering 2 Automatica 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Theoretical Population Biology 2 Chinese Annals of Mathematics. Series B 2 Journal of Scientific Computing 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Linear Algebra and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics ...and 117 more Serials all top 5 Cited in 30 Fields 1,624 Biology and other natural sciences (92-XX) 1,164 Ordinary differential equations (34-XX) 274 Dynamical systems and ergodic theory (37-XX) 226 Partial differential equations (35-XX) 163 Probability theory and stochastic processes (60-XX) 124 Numerical analysis (65-XX) 95 Systems theory; control (93-XX) 56 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 39 Difference and functional equations (39-XX) 32 Integral equations (45-XX) 29 Operator theory (47-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 11 Computer science (68-XX) 10 Statistics (62-XX) 8 Combinatorics (05-XX) 6 Real functions (26-XX) 5 Mechanics of particles and systems (70-XX) 4 Functional analysis (46-XX) 4 Operations research, mathematical programming (90-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year