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## Beretta, Edoardo

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 Author ID: beretta.edoardo Published as: Beretta, E.; Beretta, Edoardo
 Documents Indexed: 74 Publications since 1979
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#### Co-Authors

 2 single-authored 24 Takeuchi, Yasuhiro 20 Solimano, Fortunata 8 Kuang, Yang 6 Ma, Wanbiao 4 Fasano, Antonio 4 Lazzari, Claudio 3 Bischi, Gian-Italo 3 Breda, Dimitri 3 Capasso, Vincenzo 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 Vetrano, Flavio 1 An, Qi 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 Morozova, Nadya 1 Sakabira, Hirotatsu 1 Sakakibara, Hirotatsu 1 Shaikhet, Leonid Efimovich 1 Tenneriello, Catello 1 Wang, Chuncheng 1 Wang, Hao
all top 5

#### Serials

 6 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 Tohoku 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 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
all top 5

#### Fields

 65 Biology and other natural sciences (92-XX) 54 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)

#### Citations contained in zbMATH Open

56 Publications have been cited 1,917 times in 1,347 Documents Cited by Year
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
1998
Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034
Beretta, Edoardo; Kuang, Yang
2002
Global analysis in some delayed ratio-dependent predator-prey systems. Zbl 0946.34061
Beretta, Edoardo; Kuang, Yang
1998
Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504
Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid
1998
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
1995
Global asymptotic stability of an $$SIR$$ epidemic model with distributed time delay. Zbl 1042.34585
Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro
2001
Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070
Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo
2000
Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay. Zbl 0661.92018
Beretta, E.; Takeuchi, Y.
1988
A stage-structured predator-prey model of Beddington-DeAngelis type. Zbl 1110.34059
Liu, Shengqiang; Beretta, Edoardo
2006
Convergence results in a well-known delayed predator-prey system. Zbl 0876.92021
Beretta, Edoardo; Kuang, Yang
1996
Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012
Beretta, Edoardo; Kuang, Yang
1998
Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021
Beretta, E.; Takeuchi, Y.
1987
Stability in chemostat equations with delayed recycling. Zbl 0665.45006
Beretta, E.; Bischi, G. I.; Solimano, F.
1990
Convergence results in $$SIR$$ epidemic models with varying population sizes. Zbl 0879.34054
Beretta, Edoardo; Takeuchi, Yasuhiro
1997
Global stability and periodic orbits for two-patch predator-prey diffusion-delay models. Zbl 0634.92017
Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro
1987
Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033
Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo
2002
Modeling and analysis of a marine bacteriophage infection with latency period. Zbl 1015.92049
Beretta, Edoardo; Kuang, Yang
2001
Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability. Zbl 0868.45002
Beretta, Edoardo; Takeuchi, Yasuhiro
1994
On the general structure of epidemic systems. Global asymptotic stability. Zbl 0622.92016
Beretta, E.; Capasso, V.
1986
Global stability results for a multigroup SIR epidemic model. Zbl 0684.92015
Beretta, E.; Capasso, V.
1988
Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124
Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri
2010
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.
1988
Qualitative properties of chemostat equations with time delays. II. Zbl 0995.34068
Beretta, Edoardo; Takeuchi, Yasuhiro
1994
Global stability for chemostat equations with delayed nutrient recycling. Zbl 0809.34084
Beretta, E.; Takeuchi, Y.
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.
2006
On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection. Zbl 1049.34521
Beretta, E.; Carletti, M.; Solimano, F.
2000
A generalization of Volterra models with continuous time delay in population dynamics: Boundedness and global asymptotic stability. Zbl 0659.92020
Beretta, E.; Solimano, F.
1988
Graph theoretical criteria for stability and boundedness of predator-prey systems. Zbl 0496.92012
Solimano, F.; Beretta, E.
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
2002
An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062
Beretta, Edoardo; Breda, Dmitri
2011
The role of delays in innate and adaptive immunity to intracellular bacterial infection. Zbl 1122.92035
Marino, Simeone; Beretta, Edoardo; Kirschner, Denise E.
2007
Nonexistence of periodic solutions in delayed Lotka–Volterra systems. Zbl 1091.34037
Beretta, Edoardo; Kon, Ryusuke; Takeuchi, Yasuhiro
2002
Analysis of a chemostat model for bacteria and virulent bacteriophage. Zbl 1028.34067
Beretta, Edoardo; Solimano, Fortunata; Tang, Yanbin
2002
Global stability in a well known delayed chemostat model. Zbl 1089.34546
Beretta, Edoardo; Kuang, Yang
2000
Global stability for epidemic model with constant latency and infectious periods. Zbl 1260.92056
Huang, Gang; Beretta, Edoardo; Takeuchi, Yasuhiro
2012
Competitive systems with stage structure of distributed-delay type. Zbl 1110.34053
Liu, Shengqiang; Beretta, Edoardo
2006
On an ODE from forced coating flow. Zbl 0919.34020
Beretta, E.; Hulshof, J.; Peletier, L. A.
1996
Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay. Zbl 0523.92013
Solimano, F.; Beretta, E.
1983
Mathematical modelling of cancer stem cells population behavior. Zbl 1241.92035
Beretta, E.; Capasso, V.; Morozova, N.
2012
Extension of a geometric stability switch criterion. Zbl 1229.39003
Beretta, Edoardo; Tang, Yanbin
2003
Oscillations in a system with material cycling. Zbl 0713.92027
Beretta, E.; Bischi, G. I.; Solimano, F.
1988
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
2019
Numerical detection of instability regions for delay models with delay-dependent parameters. Zbl 1124.34053
Carletti, Margherita; Beretta, Edoardo
2007
A mathematical model for drug administration by using the phagocytosis of red blood cells. Zbl 0863.92005
Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro
1996
Ultimate boundedness for nonautonomous diffusive Lotka-Volterra patches. Zbl 0663.92016
Beretta, Edoardo; Fergola, Paolo; Tenneriello, Catello
1988
Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127
Beretta, Edoardo; Breda, Dimitri
2016
Analysis of a chemostat model for bacteria and bacteriophage. Zbl 1023.92031
Beretta, Edoardo; Sakakibara, Hirotatsu; Takeuchi, Yasuhiro
2002
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.
1994
A homotopy technique for a linear generalization of Volterra models. Zbl 0669.92018
Beretta, Edoardo
1989
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.
2018
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.
2018
Some results on the population behavior of cancer stem cells. Zbl 1316.92032
Beretta, Edoardo; Morozova, Nadya; Capasso, Vincenzo; Harel-Bellan, Annick
2012
Stability analysis of time delayed chemostat models for bacteria virulent phage. Zbl 1142.92340
Beretta, Edoardo; Sakabira, Hirotatsu; Takeuchi, Yasuhiro
2003
Stability analysis of a Volterra predator-prey system with two delays. Zbl 1049.34094
Tang, Yanbin; Beretta, Edoardo; Solimano, Fortunata
2001
Mathematical model for the dynamics of a phytoplankton population. Zbl 0742.92021
Beretta, E.; Fasano, A.
1991
Some results about nonlinear chemical systems represented by trees and cycles. Zbl 0405.92022
Beretta, E.; Vetrano, F.; Solimano, F.; Lazzari, C.
1979
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
2019
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.
2018
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.
2018
Discrete or distributed delay? Effects on stability of population growth. Zbl 1329.34127
Beretta, Edoardo; Breda, Dimitri
2016
Global stability for epidemic model with constant latency and infectious periods. Zbl 1260.92056
Huang, Gang; Beretta, Edoardo; Takeuchi, Yasuhiro
2012
Mathematical modelling of cancer stem cells population behavior. Zbl 1241.92035
Beretta, E.; Capasso, V.; Morozova, N.
2012
Some results on the population behavior of cancer stem cells. Zbl 1316.92032
Beretta, Edoardo; Morozova, Nadya; Capasso, Vincenzo; Harel-Bellan, Annick
2012
An SEIR epidemic model with constant latency time and infectious period. Zbl 1259.34062
Beretta, Edoardo; Breda, Dmitri
2011
Predator-prey model of Beddington-DeAngelis type with maturation and gestation delays. Zbl 1208.34124
Liu, Shengqiang; Beretta, Edoardo; Breda, Dimitri
2010
The role of delays in innate and adaptive immunity to intracellular bacterial infection. Zbl 1122.92035
Marino, Simeone; Beretta, Edoardo; Kirschner, Denise E.
2007
Numerical detection of instability regions for delay models with delay-dependent parameters. Zbl 1124.34053
Carletti, Margherita; Beretta, Edoardo
2007
A stage-structured predator-prey model of Beddington-DeAngelis type. Zbl 1110.34059
Liu, Shengqiang; Beretta, Edoardo
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.
2006
Competitive systems with stage structure of distributed-delay type. Zbl 1110.34053
Liu, Shengqiang; Beretta, Edoardo
2006
Extension of a geometric stability switch criterion. Zbl 1229.39003
Beretta, Edoardo; Tang, Yanbin
2003
Stability analysis of time delayed chemostat models for bacteria virulent phage. Zbl 1142.92340
Beretta, Edoardo; Sakabira, Hirotatsu; Takeuchi, Yasuhiro
2003
Geometric stability switch criteria in delay differential systems with delay dependent parameters. Zbl 1013.92034
Beretta, Edoardo; Kuang, Yang
2002
Permanence of an SIR epidemic model with distributed time delays. Zbl 1014.92033
Ma, Wanbiao; Takeuchi, Yasuhiro; Hara, Tadayuki; Beretta, Edoardo
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
2002
Nonexistence of periodic solutions in delayed Lotka–Volterra systems. Zbl 1091.34037
Beretta, Edoardo; Kon, Ryusuke; Takeuchi, Yasuhiro
2002
Analysis of a chemostat model for bacteria and virulent bacteriophage. Zbl 1028.34067
Beretta, Edoardo; Solimano, Fortunata; Tang, Yanbin
2002
Analysis of a chemostat model for bacteria and bacteriophage. Zbl 1023.92031
Beretta, Edoardo; Sakakibara, Hirotatsu; Takeuchi, Yasuhiro
2002
Global asymptotic stability of an $$SIR$$ epidemic model with distributed time delay. Zbl 1042.34585
Beretta, Edoardo; Hara, Tadayuki; Ma, Wanbiao; Takeuchi, Yasuhiro
2001
Modeling and analysis of a marine bacteriophage infection with latency period. Zbl 1015.92049
Beretta, Edoardo; Kuang, Yang
2001
Stability analysis of a Volterra predator-prey system with two delays. Zbl 1049.34094
Tang, Yanbin; Beretta, Edoardo; Solimano, Fortunata
2001
Global asymptotic properties of a delay SIR epidemic model with finite incubation times. Zbl 0967.34070
Takeuchi, Yasuhiro; Ma, Wanbiao; Beretta, Edoardo
2000
On the effects of environmental fluctuations in a simple model of bacteria-bacteriophage infection. Zbl 1049.34521
Beretta, E.; Carletti, M.; Solimano, F.
2000
Global stability in a well known delayed chemostat model. Zbl 1089.34546
Beretta, Edoardo; Kuang, Yang
2000
Global qualitative analysis of a ratio-dependent predator-prey system. Zbl 0895.92032
Kuang, Yang; Beretta, Edoardo
1998
Global analysis in some delayed ratio-dependent predator-prey systems. Zbl 0946.34061
Beretta, Edoardo; Kuang, Yang
1998
Stability of epidemic model with time delays influenced by stochastic perturbations. Zbl 1017.92504
Beretta, Edoardo; Kolmanovskii, Vladimir; Shaikhet, Leonid
1998
Modeling and analysis of a marine bacteriophage infection. Zbl 0946.92012
Beretta, Edoardo; Kuang, Yang
1998
Convergence results in $$SIR$$ epidemic models with varying population sizes. Zbl 0879.34054
Beretta, Edoardo; Takeuchi, Yasuhiro
1997
Convergence results in a well-known delayed predator-prey system. Zbl 0876.92021
Beretta, Edoardo; Kuang, Yang
1996
On an ODE from forced coating flow. Zbl 0919.34020
Beretta, E.; Hulshof, J.; Peletier, L. A.
1996
A mathematical model for drug administration by using the phagocytosis of red blood cells. Zbl 0863.92005
Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro
1996
Global stability of an SIR epidemic model with time delays. Zbl 0811.92019
Beretta, Edoardo; Takeuchi, Yasuhiro
1995
Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability. Zbl 0868.45002
Beretta, Edoardo; Takeuchi, Yasuhiro
1994
Qualitative properties of chemostat equations with time delays. II. Zbl 0995.34068
Beretta, Edoardo; Takeuchi, Yasuhiro
1994
Global stability for chemostat equations with delayed nutrient recycling. Zbl 0809.34084
Beretta, E.; Takeuchi, Y.
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.
1994
Mathematical model for the dynamics of a phytoplankton population. Zbl 0742.92021
Beretta, E.; Fasano, A.
1991
Stability in chemostat equations with delayed recycling. Zbl 0665.45006
Beretta, E.; Bischi, G. I.; Solimano, F.
1990
A homotopy technique for a linear generalization of Volterra models. Zbl 0669.92018
Beretta, Edoardo
1989
Global asymptotic stability of Lotka-Volterra diffusion models with continuous time delay. Zbl 0661.92018
Beretta, E.; Takeuchi, Y.
1988
Global stability results for a multigroup SIR epidemic model. Zbl 0684.92015
Beretta, E.; Capasso, V.
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.
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.
1988
Oscillations in a system with material cycling. Zbl 0713.92027
Beretta, E.; Bischi, G. I.; Solimano, F.
1988
Ultimate boundedness for nonautonomous diffusive Lotka-Volterra patches. Zbl 0663.92016
Beretta, Edoardo; Fergola, Paolo; Tenneriello, Catello
1988
Global stability of single-species diffusion Volterra models with continuous time delays. Zbl 0627.92021
Beretta, E.; Takeuchi, Y.
1987
Global stability and periodic orbits for two-patch predator-prey diffusion-delay models. Zbl 0634.92017
Beretta, Edoardo; Solimano, Fortunata; Takeuchi, Yasuhiro
1987
On the general structure of epidemic systems. Global asymptotic stability. Zbl 0622.92016
Beretta, E.; Capasso, V.
1986
Existence of a globally asymptotically stable equilibrium in Volterra models with continuous time delay. Zbl 0523.92013
Solimano, F.; Beretta, E.
1983
Graph theoretical criteria for stability and boundedness of predator-prey systems. Zbl 0496.92012
Solimano, F.; Beretta, E.
1982
Some results about nonlinear chemical systems represented by trees and cycles. Zbl 0405.92022
Beretta, E.; Vetrano, F.; Solimano, F.; Lazzari, C.
1979
all top 5

#### Cited by 1,782 Authors

 42 Chen, Lansun 35 Jiang, Daqing 35 Takeuchi, Yasuhiro 35 Xu, Rui 33 Teng, Zhi-dong 26 Wei, Junjie 21 Beretta, Edoardo 19 Chattopadhyay, Joydev 16 Ma, Wanbiao 16 Meng, Xinzhu 16 Song, Xinyu 16 Yuan, Sanling 15 Cui, Jingan 15 Ji, Chunyan 15 Kuang, Yang 15 Shaikhet, Leonid Efimovich 15 Wang, Weiming 14 Liu, Shengqiang 14 Ruan, Shigui 14 Wang, Wendi 14 Zhang, Long 13 Chaplain, Mark A. J. 13 Huo, Hai-Feng 13 Lahrouz, Aadil 13 Ma, Zhien 12 Ahn, Inkyung 12 Jiao, Jianjun 12 Kar, Tapan Kumar 12 Li, Xuezhi 11 Jin, Zhen 11 Samanta, Guru Prasad 11 Song, Yongli 11 Zhou, Xueyong 10 Banerjee, Malay 10 Davidson, Fordyce A. 10 Jiang, Zhichao 10 Li, Wan-Tong 10 Wang, Ke 9 Cai, Liming 9 Enatsu, Yoichi 9 Liu, Zijian 9 Samanta, Sudip K. 9 Settati, Adel 9 Shi, Ningzhong 9 Zou, Xingfu 8 Cai, Shaohong 8 Cai, Yongli 8 Ding, Xiaoquan 8 Fan, Yonghong 8 Han, Maoan 8 Jiang, Weihua 8 Kumar Upadhyay, Ranjit 8 Muroya, Yoshiaki 8 Nakata, Yukihiko 8 Pal, Samaresh 8 Shu, Hongying 8 Tang, Sanyi 8 Venturino, Ezio 8 Wang, Lin 8 Zhang, Juan 8 Zhang, Tailei 8 Zhang, Tonghua 8 Zhang, Tongqian 7 Bairagi, Nandadulal 7 Buonomo, Bruno 7 Cao, Jinde 7 Fergola, Paolo 7 Gakkhar, Sunita 7 Gan, Qintao 7 Ko, Wonlyul 7 Li, Michael Yi 7 Liu, Qun 7 Maiti, Alakes 7 Rao, Vadrevu Sree Hari 7 Shi, Xiangyun 7 Solimano, Fortunata 7 Wang, Jinliang 7 Xia, Yonghui 7 Xu, Changjin 7 Zhang, Fengqin 7 Zhang, Zhonghua 7 Zhao, Min 7 Zhong, Shou-Ming 6 Abbas, Syed 6 Fan, Meng 6 Garira, Winston S. 6 Guin, Lakshmi Narayan 6 Hayat, Tasawar 6 Huang, Lihong 6 Koshmanenko, Volodymyr Dmytrovych 6 Lin, Zhigui 6 Liu, Gui Rong 6 Liu, Junli 6 Mukandavire, Zindoga 6 Raja Sekhara Rao, P. 6 She, Zhikun 6 Smith, Hal Leslie 6 Sun, Guiquan 6 van den Driessche, Pauline 6 Wanduku, Divine ...and 1,682 more Authors
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#### Cited in 164 Serials

 112 Applied Mathematics and Computation 92 Nonlinear Analysis. Real World Applications 78 Journal of Mathematical Analysis and Applications 60 Chaos, Solitons and Fractals 48 International Journal of Biomathematics 46 Advances in Difference Equations 44 Mathematical Biosciences 44 Abstract and Applied Analysis 38 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 33 Discrete Dynamics in Nature and Society 32 Nonlinear Dynamics 31 Applied Mathematical Modelling 30 Communications in Nonlinear Science and Numerical Simulation 30 Journal of Applied Mathematics and Computing 26 Journal of Mathematical Biology 26 Journal of Computational and Applied Mathematics 24 Bulletin of Mathematical Biology 24 Discrete and Continuous Dynamical Systems. Series B 23 Journal of Theoretical Biology 22 Computers & Mathematics with Applications 19 Mathematical Methods in the Applied Sciences 19 Mathematical and Computer Modelling 19 Journal of Biological Systems 19 Mathematical Biosciences and Engineering 16 Journal of Biological Dynamics 13 Journal of the Franklin Institute 13 Journal of Differential Equations 13 Journal of Applied Analysis and Computation 11 Applied Mathematics Letters 10 Applicable Analysis 10 Physica A 10 Mathematics and Computers in Simulation 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Chaos 9 Computational & Mathematical Methods in Medicine 8 Complexity 8 Mathematical Problems in Engineering 8 Differential Equations and Dynamical Systems 8 Journal of Applied Mathematics 7 Stochastic Analysis and Applications 7 Nonlinear Analysis. Theory, Methods & Applications 6 Rocky Mountain Journal of Mathematics 6 Acta Mathematicae Applicatae Sinica. English Series 5 International Journal of Mathematics and Mathematical Sciences 5 Communications on Pure and Applied Analysis 4 Acta Applicandae Mathematicae 4 Physica D 4 Journal of Dynamics and Differential Equations 4 Computational and Applied Mathematics 4 The ANZIAM Journal 4 Journal of Systems Science and Complexity 4 Nonlinear Analysis. Hybrid Systems 4 Mathematical Modelling of Natural Phenomena 4 Journal of Nonlinear Science and Applications 4 International Journal of Differential Equations 3 Nonlinearity 3 Ricerche di Matematica 3 Theoretical Population Biology 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 SIAM Journal on Applied Mathematics 3 Journal of Mathematical Chemistry 3 Natural Resource Modeling 3 Nonlinear Analysis. Modelling and Control 3 Dynamical Systems 3 Advances in Complex Systems 3 Stochastics and Dynamics 3 Nonlinear Oscillations 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Applied and Computational Mathematics 3 Cogent Mathematics 2 Automatica 2 Proceedings of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Statistics & Probability Letters 2 Applied Numerical Mathematics 2 European Journal of Applied Mathematics 2 Numerical Algorithms 2 International Journal of Computer Mathematics 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 Journal of Difference Equations and Applications 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Vietnam Journal of Mathematics 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 International Journal of Modern Physics C 2 SIAM Journal on Applied Dynamical Systems 2 Boundary Value Problems 2 Acta Mechanica Sinica 2 Applications and Applied Mathematics 2 Asian-European Journal of Mathematics 2 Science China. Mathematics 2 Afrika Matematika 2 Nonautonomous Dynamical Systems 1 International Journal of Modern Physics B ...and 64 more Serials
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#### Cited in 28 Fields

 1,210 Biology and other natural sciences (92-XX) 900 Ordinary differential equations (34-XX) 206 Dynamical systems and ergodic theory (37-XX) 145 Partial differential equations (35-XX) 105 Probability theory and stochastic processes (60-XX) 98 Numerical analysis (65-XX) 80 Systems theory; control (93-XX) 38 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 Difference and functional equations (39-XX) 24 Integral equations (45-XX) 24 Operator theory (47-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 7 Combinatorics (05-XX) 7 Computer science (68-XX) 7 Fluid mechanics (76-XX) 6 Mechanics of particles and systems (70-XX) 5 Statistics (62-XX) 4 Functional analysis (46-XX) 4 Operations research, mathematical programming (90-XX) 3 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX)