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## Korobeinikov, Andrei

Compute Distance To:
 Author ID: korobeinikov.andrei Published as: Korobeinikov, Andrei; Korobeinikov, A. External Links: MGP · ORCID
 Documents Indexed: 64 Publications since 1999, including 4 Books
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#### Co-Authors

 12 single-authored 11 Khailov, Evgenii N. 6 Grigorieva, Ellina V. 6 Sobolev, Vladimir A. 5 Kelly, Thomas C. 5 O’Callaghan, Michael J. A. 4 Maini, Philip Kumar 4 Rachinskii, Dmitrii I. 3 Bondarenko, Natalia V. 3 Pimenov, Alexander 3 Pokrovskiĭ, Alexeĭ Vadimovich 3 Shchepakina, Elena A. 3 Wake, Graeme Charles 2 Archibasov, A. A. 2 Klimenkova, Anna D. 2 Melnik, Andrey V. 2 O’Regan, Suzanne M. 2 Pedarra, Stefano 2 Shaikhet, Leonid Efimovich 2 Takeuchi, Yasuhiro 2 Vargas-De-León, Cruz 2 Walker, Wayne J. 1 Archibasov, Aleksei 1 Barradas, Ignacio 1 Calvez, Vincent 1 Caubergh, Magdalena 1 Corbera, Montserrat 1 Corral, Álavaro 1 Cors, Josep Maria 1 Cullen, R. M. 1 Deluca, Anna 1 Dempsey, Conor 1 Elena, Santiago F. 1 Esteva, Lourdes 1 Font-Clos, Francesc 1 Grigorenko, Nikolaĭ Leont’evich 1 Grigorieva, Elina V. 1 Guerrero, Pilar 1 Huang, Gang 1 Iwami, Shingo 1 Lázaro, Tomás 1 Lee, William T. 1 Lermit, J. 1 Liu, Xianning 1 Llibre, Jaume 1 Martos, David Moreno 1 Massucci, Francesco Alessandro 1 McNabb, Alex 1 Norbury, John W. 1 Okuonghae, Daniel 1 Parshotam, Aroon A. 1 Petrovskii, Sergei V. 1 Riera-Escandell, Anna Maria 1 Saldaña, Fernando 1 Sardanyés, Josep
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#### Serials

 8 Mathematical Biosciences and Engineering 6 Mathematical Medicine and Biology 5 Journal of Theoretical Biology 4 Bulletin of Mathematical Biology 4 Journal of Applied Mathematics and Decision Sciences 4 Trends in Mathematics. Research Perspectives CRM Barcelona 3 Applied Mathematics Letters 3 Mathematical Modelling of Natural Phenomena 2 Journal of Mathematical Biology 2 Discrete and Continuous Dynamical Systems 2 Abstract and Applied Analysis 2 Journal of Biological Systems 2 The ANZIAM Journal 1 Applicable Analysis 1 Applied Mathematics and Computation 1 Studies in Applied Mathematics 1 Theoretical Population Biology 1 Computational Mathematics and Mathematical Physics 1 Neural, Parallel & Scientific Computations 1 Revista de Matemática: Teoría y Aplicaciones 1 Differential Equations 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B
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#### Fields

 58 Biology and other natural sciences (92-XX) 27 Ordinary differential equations (34-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 8 Partial differential equations (35-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Probability theory and stochastic processes (60-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 1,265 times in 682 Documents Cited by Year
Global properties of basic virus dynamics models. Zbl 1334.92409
Korobeinikov, Andrei
2004
Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101
Korobeinikov, Andrei
2007
Lyapunov functions and global stability for $$SIR$$ and $$SIRS$$ epidemiological models with non-linear transmission. Zbl 1334.92410
Korobeinikov, Andrei
2006
Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048
Korobeinikov, Andrei; Maini, Philip K.
2005
Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Zbl 1022.34044
Korobeinikov, A.; Wake, G. C.
2002
A Lyapunov function and global properties for $$SIR$$ and $$SEIR$$ epidemiological models with nonlinear incidence. Zbl 1062.92061
Korobeinikov, Andrei; Maini, Philip K.
2004
A Lyapunov function for Leslie-Gower predator-prey models. Zbl 0999.92036
Korobeinikov, A.
2001
Lyapunov functions and global properties for SEIR and SEIS epidemic models. Zbl 1055.92051
Korobeinikov, Andrei
2004
Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and nonlinear incidence rate. Zbl 1171.92034
Korobeinikov, Andrei
2009
Global properties of $$SIR$$ and $$SEIR$$ epidemic models with multiple parallel infectious stages. Zbl 1169.92041
Korobeinikov, Andrei
2009
Stability of ecosystem: global properties of a general predator-prey model. Zbl 1178.92053
Korobeinikov, Andrei
2009
Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility. Zbl 1260.92106
Melnik, Andrey V.; Korobeinikov, Andrei
2013
Lyapunov functions for SIR and SIRS epidemic models. Zbl 1193.34102
O’Regan, Suzanne M.; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Pokrovskii, Alexei V.
2010
Global stability of a population dynamics model with inhibition and negative feedback. Zbl 1318.92044
Vargas-De-León, Cruz; Korobeinikov, Andrei
2013
Age-dependency in host-vector models: the global analysis. Zbl 1335.92104
Vargas-De-León, Cruz; Esteva, Lourdes; Korobeinikov, Andrei
2014
Prevention of avian influenza epidemic: what policy should we choose? Zbl 1398.92240
Iwami, Shingo; Takeuchi, Yasuhiro; Korobeinikov, Andrei; Liu, Xianning
2008
Dynamics of tuberculosis: the effect of direct observation therapy strategy (DOTS) in Nigeria. Zbl 1337.92212
Okuonghae, D.; Korobeinikov, A.
2007
Memory effects in population dynamics : spread of infectious disease as a case study. Zbl 1316.92088
Pimenov, A.; Kelly, T. C.; Korobeinikov, A.; O’Callaghan, M. J. A.; Pokrovskii, A. V.; Rachinskii, D.
2012
Global properties of the three-dimensional predator-prey Lotka-Volterra systems. Zbl 0951.92031
Korobeinikov, A.; Wake, G. C.
1999
Stability of a stochastic model for HIV-1 dynamics within a host. Zbl 1351.92050
Shaikhet, Leonid; Korobeinikov, Andrei
2016
A continuous phenotype space model of RNA virus evolution within a host. Zbl 1327.92035
Korobeinikov, Andrei; Dempsey, Conor
2014
HIV evolution and progression of the infection to AIDS. Zbl 1337.92128
Huang, Gang; Takeuchi, Yasuhiro; Korobeinikov, Andrei
2012
Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507
Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir
2016
Optimal control for an epidemic in populations of varying size. Zbl 1334.49004
Korobeinikov, Andrei; Khailov, Evgenii; Grigorieva, Ellina
2015
Order reduction for an RNA virus evolution model. Zbl 1354.92053
Korobeinikov, Andrei; Archibasov, Aleksei; Sobolev, Vladimir
2015
Passage to the limit in a singularly perturbed partial integro-differential system. Zbl 1359.45004
Archibasov, A. A.; Korobeinikov, A.; Sobolev, V. A.
2016
Global asymptotic properties of staged models with multiple progression pathways for infectious diseases. Zbl 1260.92067
Melnik, Andrey V.; Korobeinikov, Andrei
2011
Optimal control for a SIR epidemic model with nonlinear incidence rate. Zbl 1385.49009
Grigorieva, E. V.; Khailov, E. N.; Korobeinikov, A.
2016
Modeling and optimal control for antiretroviral therapy. Zbl 1343.92222
Grigorieva, Ellina V.; Khailov, Evgenii N.; Bondarenko, Natalia V.; Korobeinikov, Andrei
2014
Global asymptotic properties for a Leslie-Gower food chain model. Zbl 1168.92322
Korobeinikov, Andrei; Lee, William T.
2009
Adaptive behaviour and multiple equilibrium states in a predator-prey model. Zbl 1314.92140
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Rachinskii, Dmitrii
2015
Asymptotic expansions of solutions in a singularly perturbed model of virus evolution. Zbl 1321.35245
Archibasov, A. A.; Korobeinikov, A.; Sobolev, V. A.
2015
An optimal control problem in HIV treatment. Zbl 1306.49004
Grigorieva, Ellina; Khailov, Evgenii; Korobeinikov, Andrei
2013
Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm. Zbl 1286.37074
O’Regan, Suzanne M.; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Pokrovskii, Alexei V.; Rachinskii, Dmitrii
2013
Parametrization of the attainable set for a nonlinear control model of a biochemical process. Zbl 1273.49004
Grigorieva, Ellina V.; Khailov, Evgenii N.; Korobeinikov, Andrei
2013
Seasonality and critical community size for infectious diseases. Zbl 1022.92029
Cullen, R. M.; Korobeinikov, A.; Walker, W. J.
2003
Three-dimensional nonlinear control model of wastewater biotreatment. Zbl 1402.92455
Grigorieva, E. V.; Bondarenko, N. V.; Khailov, E. N.; Korobeinikov, A.
2012
Immune response and within-host viral evolution: immune response can accelerate evolution. Zbl 1407.92076
Korobeinikov, Andrei
2018
Numerical simulation of the oscillations of non-Newtonian viscous fluids with a free surface. Zbl 1008.76061
Korobeinikov, A.
2000
Toward a general theory of ecosystem stability: plankton-nutrient interaction as a paradigm. Zbl 1196.92042
Korobeinikov, Andrei; Petrovskii, Sergei V.
2008
Optimal control for an SEIR epidemic model with nonlinear incidence rate. Zbl 1420.35437
Grigorieva, Ellina; Khailov, Evgenii; Korobeinikov, Andrei
2018
Optimal control for anticancer therapy. Zbl 1444.92043
Khailov, Evgenii N.; Klimenkova, Anna D.; Korobeinikov, Andrei
2019
Global properties of a general predator-prey model with non-symmetric attack and consumption rate. Zbl 1225.34054
Korobeinikov, Andrei
2010
Analysis of optimal control problems for the process of wastewater biological treatment. Zbl 1316.49008
Grigorieva, Elina V.; Bondarenko, Natalia V.; Khailov, Evgenii N.; Korobeinikov, Andrei
2013
Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study. Zbl 1373.92109
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J.; Rachinskii, Dmitrii
2017
Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384
Korobeinikov, Andrei; Norbury, John; Wake, Graeme C.
2009
Optimal controls of the highly active antiretroviral therapy. Zbl 1457.92078
Grigorieva, Ellina V.; Khailov, Evgenii N.; Korobeinikov, Andrei
2020
Program and positional control strategies for the Lotka-Volterra competition model. Zbl 1451.92166
Grigorenko, Nikolai L.; Khailov, Evgenii N.; Klimenkova, Anna D.; Korobeinikov, Andrei
2020
Optimal controls of the highly active antiretroviral therapy. Zbl 1457.92078
Grigorieva, Ellina V.; Khailov, Evgenii N.; Korobeinikov, Andrei
2020
Program and positional control strategies for the Lotka-Volterra competition model. Zbl 1451.92166
Grigorenko, Nikolai L.; Khailov, Evgenii N.; Klimenkova, Anna D.; Korobeinikov, Andrei
2020
Optimal control for anticancer therapy. Zbl 1444.92043
Khailov, Evgenii N.; Klimenkova, Anna D.; Korobeinikov, Andrei
2019
Immune response and within-host viral evolution: immune response can accelerate evolution. Zbl 1407.92076
Korobeinikov, Andrei
2018
Optimal control for an SEIR epidemic model with nonlinear incidence rate. Zbl 1420.35437
Grigorieva, Ellina; Khailov, Evgenii; Korobeinikov, Andrei
2018
Memory and adaptive behavior in population dynamics: anti-predator behavior as a case study. Zbl 1373.92109
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O&rsquo;Callaghan, Michael J.; Rachinskii, Dmitrii
2017
Stability of a stochastic model for HIV-1 dynamics within a host. Zbl 1351.92050
Shaikhet, Leonid; Korobeinikov, Andrei
2016
Paradox of enrichment and system order reduction: bacteriophages dynamics as case study. Zbl 1400.92507
Korobeinikov, Andrei; Shchepakina, Elena; Sobolev, Vladimir
2016
Passage to the limit in a singularly perturbed partial integro-differential system. Zbl 1359.45004
Archibasov, A. A.; Korobeinikov, A.; Sobolev, V. A.
2016
Optimal control for a SIR epidemic model with nonlinear incidence rate. Zbl 1385.49009
Grigorieva, E. V.; Khailov, E. N.; Korobeinikov, A.
2016
Optimal control for an epidemic in populations of varying size. Zbl 1334.49004
Korobeinikov, Andrei; Khailov, Evgenii; Grigorieva, Ellina
2015
Order reduction for an RNA virus evolution model. Zbl 1354.92053
Korobeinikov, Andrei; Archibasov, Aleksei; Sobolev, Vladimir
2015
Adaptive behaviour and multiple equilibrium states in a predator-prey model. Zbl 1314.92140
Pimenov, Alexander; Kelly, Thomas C.; Korobeinikov, Andrei; O&rsquo;Callaghan, Michael J. A.; Rachinskii, Dmitrii
2015
Asymptotic expansions of solutions in a singularly perturbed model of virus evolution. Zbl 1321.35245
Archibasov, A. A.; Korobeinikov, A.; Sobolev, V. A.
2015
Age-dependency in host-vector models: the global analysis. Zbl 1335.92104
Vargas-De-León, Cruz; Esteva, Lourdes; Korobeinikov, Andrei
2014
A continuous phenotype space model of RNA virus evolution within a host. Zbl 1327.92035
Korobeinikov, Andrei; Dempsey, Conor
2014
Modeling and optimal control for antiretroviral therapy. Zbl 1343.92222
Grigorieva, Ellina V.; Khailov, Evgenii N.; Bondarenko, Natalia V.; Korobeinikov, Andrei
2014
Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility. Zbl 1260.92106
Melnik, Andrey V.; Korobeinikov, Andrei
2013
Global stability of a population dynamics model with inhibition and negative feedback. Zbl 1318.92044
Vargas-De-León, Cruz; Korobeinikov, Andrei
2013
An optimal control problem in HIV treatment. Zbl 1306.49004
Grigorieva, Ellina; Khailov, Evgenii; Korobeinikov, Andrei
2013
Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm. Zbl 1286.37074
O&rsquo;Regan, Suzanne M.; Kelly, Thomas C.; Korobeinikov, Andrei; O&rsquo;Callaghan, Michael J. A.; Pokrovskii, Alexei V.; Rachinskii, Dmitrii
2013
Parametrization of the attainable set for a nonlinear control model of a biochemical process. Zbl 1273.49004
Grigorieva, Ellina V.; Khailov, Evgenii N.; Korobeinikov, Andrei
2013
Analysis of optimal control problems for the process of wastewater biological treatment. Zbl 1316.49008
Grigorieva, Elina V.; Bondarenko, Natalia V.; Khailov, Evgenii N.; Korobeinikov, Andrei
2013
Memory effects in population dynamics : spread of infectious disease as a case study. Zbl 1316.92088
Pimenov, A.; Kelly, T. C.; Korobeinikov, A.; O&rsquo;Callaghan, M. J. A.; Pokrovskii, A. V.; Rachinskii, D.
2012
HIV evolution and progression of the infection to AIDS. Zbl 1337.92128
Huang, Gang; Takeuchi, Yasuhiro; Korobeinikov, Andrei
2012
Three-dimensional nonlinear control model of wastewater biotreatment. Zbl 1402.92455
Grigorieva, E. V.; Bondarenko, N. V.; Khailov, E. N.; Korobeinikov, A.
2012
Global asymptotic properties of staged models with multiple progression pathways for infectious diseases. Zbl 1260.92067
Melnik, Andrey V.; Korobeinikov, Andrei
2011
Lyapunov functions for SIR and SIRS epidemic models. Zbl 1193.34102
O&rsquo;Regan, Suzanne M.; Kelly, Thomas C.; Korobeinikov, Andrei; O&rsquo;Callaghan, Michael J. A.; Pokrovskii, Alexei V.
2010
Global properties of a general predator-prey model with non-symmetric attack and consumption rate. Zbl 1225.34054
Korobeinikov, Andrei
2010
Global asymptotic properties of virus dynamics models with dose-dependent parasite reproduction and virulence and nonlinear incidence rate. Zbl 1171.92034
Korobeinikov, Andrei
2009
Global properties of $$SIR$$ and $$SEIR$$ epidemic models with multiple parallel infectious stages. Zbl 1169.92041
Korobeinikov, Andrei
2009
Stability of ecosystem: global properties of a general predator-prey model. Zbl 1178.92053
Korobeinikov, Andrei
2009
Global asymptotic properties for a Leslie-Gower food chain model. Zbl 1168.92322
Korobeinikov, Andrei; Lee, William T.
2009
Long-term coexistence for a competitive system of spatially varying gradient reaction-diffusion equations. Zbl 1154.35384
Korobeinikov, Andrei; Norbury, John; Wake, Graeme C.
2009
Prevention of avian influenza epidemic: what policy should we choose? Zbl 1398.92240
Iwami, Shingo; Takeuchi, Yasuhiro; Korobeinikov, Andrei; Liu, Xianning
2008
Toward a general theory of ecosystem stability: plankton-nutrient interaction as a paradigm. Zbl 1196.92042
Korobeinikov, Andrei; Petrovskii, Sergei V.
2008
Global properties of infectious disease models with nonlinear incidence. Zbl 1298.92101
Korobeinikov, Andrei
2007
Dynamics of tuberculosis: the effect of direct observation therapy strategy (DOTS) in Nigeria. Zbl 1337.92212
Okuonghae, D.; Korobeinikov, A.
2007
Lyapunov functions and global stability for $$SIR$$ and $$SIRS$$ epidemiological models with non-linear transmission. Zbl 1334.92410
Korobeinikov, Andrei
2006
Nonlinear incidence and stability of infectious disease models. Zbl 1076.92048
Korobeinikov, Andrei; Maini, Philip K.
2005
Global properties of basic virus dynamics models. Zbl 1334.92409
Korobeinikov, Andrei
2004
A Lyapunov function and global properties for $$SIR$$ and $$SEIR$$ epidemiological models with nonlinear incidence. Zbl 1062.92061
Korobeinikov, Andrei; Maini, Philip K.
2004
Lyapunov functions and global properties for SEIR and SEIS epidemic models. Zbl 1055.92051
Korobeinikov, Andrei
2004
Seasonality and critical community size for infectious diseases. Zbl 1022.92029
Cullen, R. M.; Korobeinikov, A.; Walker, W. J.
2003
Lyapunov functions and global stability for SIR, SIRS, and SIS epidemiological models. Zbl 1022.34044
Korobeinikov, A.; Wake, G. C.
2002
A Lyapunov function for Leslie-Gower predator-prey models. Zbl 0999.92036
Korobeinikov, A.
2001
Numerical simulation of the oscillations of non-Newtonian viscous fluids with a free surface. Zbl 1008.76061
Korobeinikov, A.
2000
Global properties of the three-dimensional predator-prey Lotka-Volterra systems. Zbl 0951.92031
Korobeinikov, A.; Wake, G. C.
1999
all top 5

#### Cited by 992 Authors

 29 Elaiw, Ahmed M. 26 Korobeinikov, Andrei 25 Wang, Jinliang 16 Kuniya, Toshikazu 15 Ma, Wanbiao 15 Vargas-De-León, Cruz 14 Huang, Gang 14 Liu, Xianning 12 Takeuchi, Yasuhiro 12 Teng, Zhi-dong 11 Lahrouz, Aadil 11 Liu, Shengqiang 11 Mushayabasa, Steady 11 Wang, Kaifa 11 Wang, Xia 10 Bhunu, Claver Pedzisai 10 Enatsu, Yoichi 10 Yang, Yu 9 Jiang, Daqing 9 Khailov, Evgenii N. 9 Li, Michael Yi 9 Meng, Xinzhu 9 Nakata, Yukihiko 9 Xu, Rui 8 Alshamrani, Noura H. 8 Chen, Yuming 8 Georgescu, Paul 8 Li, Xuezhi 8 Muroya, Yoshiaki 8 Song, Xinyu 7 Cai, Liming 7 El Fatini, Mohamed 7 Pang, Jingmei 7 Rachinskii, Dmitrii I. 7 Sasaki, Toru 7 Settati, Adel 7 Tchuenche, Jean Michel 7 Zhang, Hong 6 Bowong, Samuel 6 Kajiwara, Tsuyoshi 6 Li, Jianquan 6 Martcheva, Maia 6 Shu, Hongying 6 Wang, Wendi 5 Avila-Vales, Eric Jose 5 Chen, Lansun 5 Grigorieva, Ellina V. 5 Hattaf, Khalid 5 Huo, Hai-Feng 5 Liu, Luju 5 Liu, Qun 5 Pettersson, Roger 5 Pitchaimani, M. 5 Shuai, Zhisheng 5 Sobolev, Vladimir A. 5 Tewa, Jean-Jules 5 Xu, Jinhu 5 Yang, Yali 5 Yu, Pei 5 Zhang, Fengqin 5 Zhou, Yicang 4 Alonso Quesada, Santiago 4 Cai, Yongli 4 de la Sen, Manuel 4 Dong, Yueping 4 Earn, David J. D. 4 Geng, Yan 4 Ghosh, Mini 4 Guo, Hongbin 4 Iwami, Shingo 4 Kelly, Thomas C. 4 Li, Dan 4 McCluskey, C. Connell 4 Nistal, Raul 4 O’Callaghan, Michael J. A. 4 Qiu, Zhipeng 4 Samanta, Guru Prasad 4 Sharma, Swarnali 4 Taki, Regragui 4 Touaoula, Tarik Mohamed 4 Wanduku, Divine 4 Wang, Jin 4 Wang, Lin 4 Wang, Weiming 4 Xiao, Yanni 4 Zhang, Ran 4 Zhang, Wenling 4 Zou, Xingfu 3 Adak, Debadatta 3 Bai, Zhenguo 3 Bairagi, Nandadulal 3 Bernoussi, Amine 3 Buonomo, Bruno 3 Chí, Noé Chan 3 Chinviriyasit, Wirawan 3 El Jarroudi, Mustapha 3 Fan, Aijun 3 Fang, Bin 3 Hayat, Tasawar 3 Hoang, Manh Tuan ...and 892 more Authors
all top 5

#### Cited in 119 Serials

 52 Applied Mathematics and Computation 36 Discrete and Continuous Dynamical Systems. Series B 35 International Journal of Biomathematics 29 Nonlinear Analysis. Real World Applications 28 Bulletin of Mathematical Biology 28 Mathematical Biosciences and Engineering 23 Abstract and Applied Analysis 22 Mathematical Methods in the Applied Sciences 21 Journal of Mathematical Biology 20 Journal of Mathematical Analysis and Applications 19 Advances in Difference Equations 19 Journal of Biological Dynamics 17 Chaos, Solitons and Fractals 17 Discrete Dynamics in Nature and Society 15 Applied Mathematics Letters 15 Journal of Theoretical Biology 12 Journal of Biological Systems 11 Mathematical Biosciences 11 Applied Mathematical Modelling 11 Journal of Applied Mathematics and Computing 10 Communications in Nonlinear Science and Numerical Simulation 8 Computers & Mathematics with Applications 8 Mathematical Modelling of Natural Phenomena 8 Journal of Applied Analysis and Computation 7 Applicable Analysis 7 Journal of Computational and Applied Mathematics 7 Journal of Differential Equations 7 Computational and Applied Mathematics 7 Computational & Mathematical Methods in Medicine 6 Physica A 6 Complexity 6 Journal of Applied Mathematics 6 Journal of Nonlinear Science and Applications 5 Theoretical Population Biology 5 Qualitative Theory of Dynamical Systems 4 Ricerche di Matematica 4 Stochastic Analysis and Applications 4 Acta Applicandae Mathematicae 4 SIAM Journal on Applied Mathematics 4 Nonlinear Dynamics 3 Mathematics and Computers in Simulation 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Journal of Nonlinear Science 3 Chaos 3 Journal of Systems Science and Complexity 3 Discrete and Continuous Dynamical Systems. Series S 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 International Journal of Mathematics and Mathematical Sciences 2 Proceedings of the American Mathematical Society 2 Statistics & Probability Letters 2 Mathematical and Computer Modelling 2 SIAM Journal on Mathematical Analysis 2 Journal of Dynamics and Differential Equations 2 Journal of Difference Equations and Applications 2 Mathematical Problems in Engineering 2 Differential Equations and Dynamical Systems 2 Nonlinear Analysis. Modelling and Control 2 Dynamical Systems 2 Communications on Pure and Applied Analysis 2 Nonlinear Analysis. Hybrid Systems 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 ISRN Biomathematics 1 International Journal of Control 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Mathematica Slovaca 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Studies in Applied Mathematics 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Scientific Computing 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 Mathematica Bohemica 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 Filomat 1 Random Operators and Stochastic Equations 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Taiwanese Journal of Mathematics 1 Mathematical Methods of Operations Research 1 Natural Resource Modeling 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Dynamical and Control Systems 1 Methodology and Computing in Applied Probability 1 Applied Sciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 The ANZIAM Journal 1 Differential Equations ...and 19 more Serials
all top 5

#### Cited in 27 Fields

 650 Biology and other natural sciences (92-XX) 393 Ordinary differential equations (34-XX) 105 Dynamical systems and ergodic theory (37-XX) 101 Partial differential equations (35-XX) 47 Systems theory; control (93-XX) 39 Probability theory and stochastic processes (60-XX) 35 Numerical analysis (65-XX) 25 Calculus of variations and optimal control; optimization (49-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Difference and functional equations (39-XX) 6 Combinatorics (05-XX) 6 Integral equations (45-XX) 6 Operator theory (47-XX) 6 Statistics (62-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 2 Functional analysis (46-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Operations research, mathematical programming (90-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)