Edit Profile (opens in new tab) Davidson, Fordyce A. Compute Distance To: Compute Author ID: davidson.fordyce-a Published as: Davidson, F. A.; Davidson, Fordyce A.; Davidson, F. more...less External Links: ORCID · dblp Documents Indexed: 64 Publications since 1976 1 Contribution as Editor Co-Authors: 24 Co-Authors with 60 Joint Publications 695 Co-Co-Authors all top 5 Co-Authors 3 single-authored 27 Chaplain, Mark A. J. 26 Xu, Rui 8 Rynne, Bryan P. 6 Dodds, Niall 5 Ritz, Karl 4 Boswell, Graeme P. 4 Liu, Junli 3 Alzahrani, Ebraheem O. 3 Crawford, John W. 3 Gadd, Geoffrey M. 3 Jacobs, Helen 3 Sleeman, Brian David 2 Gourley, Stephen A. 2 Rayner, A. D. M. 2 Stoleriu, Iulian 1 Anderson, Alexander R. A. 1 Apreutesei, Narcisa C. 1 Brown, Kenneth J. 1 Jaffar, M. Z. A. M. 1 Kobine, J. J. 1 Park, Andrew William 1 Savory, Andrew I. M. 1 Volpert, Vitaly A. 1 Wallace, H. A. all top 5 Serials 12 Applied Mathematics and Computation 9 Journal of Mathematical Analysis and Applications 4 Journal of Mathematical Biology 4 Mathematical and Computer Modelling 3 Mathematical Modelling of Natural Phenomena 2 Applicable Analysis 2 IEEE Transactions on Information Theory 2 IMA Journal of Applied Mathematics 2 Bulletin of Mathematical Biology 2 Applied Mathematics Letters 2 Electronic Journal of Differential Equations (EJDE) 2 Nonlinear Analysis. Real World Applications 1 Computers & Mathematics with Applications 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Engineering Mathematics 1 Chaos, Solitons and Fractals 1 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Methods and Applications of Analysis 1 Communications in Applied Analysis 1 Differential Equations and Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Nonlinear Functional Analysis and Applications 1 Dynamical Systems 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Advances in Difference Equations 1 Journal of Theoretical Biology 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 47 Biology and other natural sciences (92-XX) 35 Ordinary differential equations (34-XX) 19 Partial differential equations (35-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Difference and functional equations (39-XX) 4 Operator theory (47-XX) 4 Numerical analysis (65-XX) 2 Probability theory and stochastic processes (60-XX) 1 Integral equations (45-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 586 times in 495 Documents Cited by ▼ Year ▼ Global bifurcation in the Brusselator system. Zbl 0829.35010Brown, K. J.; Davidson, F. A. 47 1995 Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A. 42 2001 A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026Davidson, F. A.; Rynne, B. P. 39 2000 Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 35 2004 Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 32 2004 Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 29 2004 Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119Xu, R.; Chaplain, M. A. J.; Davidson, F. A. 25 2004 Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 23 2005 Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales. Zbl 1125.34069Davidson, Fordyce A.; Rynne, Bryan P. 20 2007 Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 16 2004 Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 16 2006 Global bifurcation on time scales. Zbl 0998.34024Davidson, Fordyce A.; Rynne, Bryan P. 15 2002 The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047Davidson, F. A.; Gourley, S. A. 15 2001 Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 15 2005 Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 15 2004 Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions. Zbl 1050.92025Stoleriu, I.; Davidson, F. A.; Liu, J. L. 14 2004 Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions. Zbl 1083.92017Stoleriu, I.; Davidson, F. A.; Liu, J. L. 10 2005 A positive numerical scheme for a mixed-type partial differential equation model for fungal growth. Zbl 1027.65125Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 10 2003 Global stability of the attracting set of an enzyme-catalysed reaction system. Zbl 1022.92011Davidson, F. A.; Liu, Junli 10 2002 Travelling waves in near-degenerate bistable competition models. Zbl 1202.35019Alzahrani, E. O.; Davidson, F. A.; Dodds, N. 10 2010 Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085Davidson, F. A.; Xu, R.; Liu, J. 9 2002 Growth and function of fungal mycelia in heterogeneous environments. Zbl 1334.92253Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 9 2003 A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2006 Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2004 Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2007 Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065Xu, R.; Davidson, F. A.; Chaplain, M. A. J. 7 2002 Spectral properties of non-local differential operators. Zbl 1108.34062Davidson, Fordyce A.; Dodds, Niall 7 2006 Reversing invasion in bistable systems. Zbl 1257.35025Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 7 2012 The development of fungal networks in complex environments. Zbl 1139.92316Boswell, Graeme P.; Jacobs, Helen; Ritz, Karl; Gadd, Geoffrey M.; Davidson, Fordyce A. 6 2007 Existence of positive solutions due to non-local interactions in a class of nonlinear boundary value problems. Zbl 1149.35366Davidson, Fordyce A.; Dodds, Niall 6 2007 Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations. Zbl 0935.35068Davidson, F. A. 5 1998 Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022Davidson, Fordyce A.; Rynne, Bryan P. 5 2004 Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004Davidson, Fordyce A.; Rynne, Bryan P. 5 2007 Spectral properties of non-local uniformly-elliptic operators. Zbl 1115.35090Davidson, Fordyce A.; Dodds, Niall 5 2006 Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2005 Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2005 Steady-state solutions of a generic model for the formation of capillary networks. Zbl 0964.92023Davidson, F. A.; Anderson, A. R. A.; Chaplain, M. A. J. 4 2000 Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023Davidson, F. A.; Rynne, B. P. 4 2000 Preface to the issue nonlocal reaction-diffusion equations. Zbl 1337.92165 4 2015 Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2004 Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2004 Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 4 1997 Global asymptotic stability in a nonautonomous \(n\)-species Lotka-Volterra predator-prey system with infinite delays. Zbl 1034.34092Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2001 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 3 1996 Periodic solutions of a delayed predator-prey model with stage structure for predator. Zbl 1086.34058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2004 A mathematical model for fungal development in heterogeneous environments. Zbl 0945.92024Davidson, F. A.; Park, A. W. 2 1998 A 3-species competition model for bio-control. Zbl 1245.93098Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 2 2012 The formulation of second-order boundary value problems on time scales. Zbl 1139.39026Davidson, Fordyce A.; Rynne, Bryan P. 2 2006 Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038Davidson, F. A.; Sleeman, B. D.; Crawford, J. W. 1 1997 Global secondary bifurcation in a nonlinear boundary value problem. Zbl 0949.34014Davidson, F. A. 1 1999 Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Zbl 1124.65068Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2006 Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system. Zbl 1076.39011Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2004 Diffusion fronts in enzyme-catalysed reactions. Zbl 1120.92020Boswell, Graeme P.; Davidson, Fordyce A. 1 2007 The effect of cell death on the stability of a growing biofilm. Zbl 1384.92044Wallace, H. A.; Li, L.; Davidson, F. A. 1 2016 The effect of cell death on the stability of a growing biofilm. Zbl 1384.92044Wallace, H. A.; Li, L.; Davidson, F. A. 1 2016 Preface to the issue nonlocal reaction-diffusion equations. Zbl 1337.92165 4 2015 Reversing invasion in bistable systems. Zbl 1257.35025Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 7 2012 A 3-species competition model for bio-control. Zbl 1245.93098Alzahrani, Ebraheem O.; Davidson, Fordyce A.; Dodds, Niall 2 2012 Travelling waves in near-degenerate bistable competition models. Zbl 1202.35019Alzahrani, E. O.; Davidson, F. A.; Dodds, N. 10 2010 Eigenfunction expansions in \(L^{2}\) spaces for boundary value problems on time-scales. Zbl 1125.34069Davidson, Fordyce A.; Rynne, Bryan P. 20 2007 Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays. Zbl 1130.35349Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2007 The development of fungal networks in complex environments. Zbl 1139.92316Boswell, Graeme P.; Jacobs, Helen; Ritz, Karl; Gadd, Geoffrey M.; Davidson, Fordyce A. 6 2007 Existence of positive solutions due to non-local interactions in a class of nonlinear boundary value problems. Zbl 1149.35366Davidson, Fordyce A.; Dodds, Niall 6 2007 Self-adjoint boundary-value problems on time-scales. Zbl 1138.34004Davidson, Fordyce A.; Rynne, Bryan P. 5 2007 Diffusion fronts in enzyme-catalysed reactions. Zbl 1120.92020Boswell, Graeme P.; Davidson, Fordyce A. 1 2007 Travelling wave and convergence in stage-structured reaction-diffusion competitive models with nonlocal delays. Zbl 1142.35477Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 16 2006 A Lotka–Volterra type food chain model with stage structure and time delays. Zbl 1096.34055Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2006 Spectral properties of non-local differential operators. Zbl 1108.34062Davidson, Fordyce A.; Dodds, Niall 7 2006 Spectral properties of non-local uniformly-elliptic operators. Zbl 1115.35090Davidson, Fordyce A.; Dodds, Niall 5 2006 The formulation of second-order boundary value problems on time scales. Zbl 1139.39026Davidson, Fordyce A.; Rynne, Bryan P. 2 2006 Global convergence of a reaction-diffusion predator-prey model with stage structure for the predator. Zbl 1124.65068Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2006 Periodic solutions for a predator-prey model with Holling-type functional response and time delays. Zbl 1064.34053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 23 2005 Permanence and periodicity of a delayed ratio-dependent predator–prey model with stage structure. Zbl 1073.34090Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 15 2005 Effects of periodic input on the quasi-steady state assumptions for enzyme-catalysed reactions. Zbl 1083.92017Stoleriu, I.; Davidson, F. A.; Liu, J. L. 10 2005 Modelling and analysis of a competitive model with stage structure. Zbl 1066.92058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2005 Global stability of a stage-structured predator-prey model with prey dispersal. Zbl 1080.92069Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2005 Periodic solutions for a delayed predator-prey model of prey dispersal in two-patch environments. Zbl 1066.92059Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 35 2004 Persistence and global stability of a ratio-dependent predator-prey model with stage structure. Zbl 1058.92053Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 32 2004 Global stability of a Lotka–Volterra type predator–prey model with stage structure and time delay. Zbl 1056.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 29 2004 Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays. Zbl 1048.34119Xu, R.; Chaplain, M. A. J.; Davidson, F. A. 25 2004 Periodic solution for a three-species Lotka-Volterra food-chain model with time delays. Zbl 1067.92063Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 16 2004 Persistence and stability of a stage-structured predator-prey model with time delays. Zbl 1064.92049Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 15 2004 Quasi-steady state assumptions for non-isolated enzyme-catalysed reactions. Zbl 1050.92025Stoleriu, I.; Davidson, F. A.; Liu, J. L. 14 2004 Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays. Zbl 1116.92072Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 8 2004 Curves of positive solutions of boundary value problems on time-scales. Zbl 1077.34022Davidson, Fordyce A.; Rynne, Bryan P. 5 2004 Periodic solutions of a predator–prey model with stage structure for predator. Zbl 1048.92035Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2004 Persistence and periodicity of a delayed ratio-dependent predator–prey model with stage structure and prey dispersal. Zbl 1056.92062Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 4 2004 Periodic solutions of a delayed predator-prey model with stage structure for predator. Zbl 1086.34058Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2004 Periodic solutions of a discrete time three-species Lotka-Volterra food-chain system. Zbl 1076.39011Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 1 2004 A positive numerical scheme for a mixed-type partial differential equation model for fungal growth. Zbl 1027.65125Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 10 2003 Growth and function of fungal mycelia in heterogeneous environments. Zbl 1334.92253Boswell, Graeme P.; Jacobs, Helen; Davidson, Fordyce A.; Gadd, Geoffrey M.; Ritz, Karl 9 2003 Global bifurcation on time scales. Zbl 0998.34024Davidson, Fordyce A.; Rynne, Bryan P. 15 2002 Global stability of the attracting set of an enzyme-catalysed reaction system. Zbl 1022.92011Davidson, F. A.; Liu, Junli 10 2002 Existence and uniqueness of limit cycles in an enzyme-catalysed reaction system. Zbl 1048.34085Davidson, F. A.; Xu, R.; Liu, J. 9 2002 Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay. Zbl 1008.34065Xu, R.; Davidson, F. A.; Chaplain, M. A. J. 7 2002 Spatio-temporal pattern formation in a nonlocal reaction-diffusion equation. Zbl 0988.35082Gourley, S. A.; Chaplain, M. A. J.; Davidson, F. A. 42 2001 The effects of temporal delays in a model for a food-limited, diffusing population. Zbl 0992.35047Davidson, F. A.; Gourley, S. A. 15 2001 Global asymptotic stability in a nonautonomous \(n\)-species Lotka-Volterra predator-prey system with infinite delays. Zbl 1034.34092Xu, Rui; Chaplain, M. A. J.; Davidson, F. A. 3 2001 A priori bounds and global existence of solutions of the steady-state Sel’kov model. Zbl 0960.35026Davidson, F. A.; Rynne, B. P. 39 2000 Steady-state solutions of a generic model for the formation of capillary networks. Zbl 0964.92023Davidson, F. A.; Anderson, A. R. A.; Chaplain, M. A. J. 4 2000 Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem. Zbl 0974.34023Davidson, F. A.; Rynne, B. P. 4 2000 Global secondary bifurcation in a nonlinear boundary value problem. Zbl 0949.34014Davidson, F. A. 1 1999 Chaotic wakes and other wave-induced behavior in a system of reaction-diffusion equations. Zbl 0935.35068Davidson, F. A. 5 1998 A mathematical model for fungal development in heterogeneous environments. Zbl 0945.92024Davidson, F. A.; Park, A. W. 2 1998 Travelling waves and pattern formation in a model for fungal development. Zbl 0880.92007Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 4 1997 Travelling waves in a reaction-diffusion system modelling fungal mycelia. Zbl 0885.92038Davidson, F. A.; Sleeman, B. D.; Crawford, J. W. 1 1997 Large-scale behavior of fungal mycelia. Zbl 0876.92008Davidson, F. A.; Sleeman, B. D.; Rayner, A. D. M.; Crawford, J. W.; Ritz, K. 3 1996 Global bifurcation in the Brusselator system. Zbl 0829.35010Brown, K. J.; Davidson, F. A. 47 1995 all cited Publications top 5 cited Publications all top 5 Cited by 728 Authors 18 Davidson, Fordyce A. 15 Chen, Fengde 12 Wang, Mingxin 11 Shi, Junping 10 Chen, Lansun 10 Xu, Changjin 9 Xu, Rui 8 Wei, Junjie 7 Han, Bang-Sheng 7 Li, Wan-Tong 7 Li, Zhong 7 Peng, Rui 7 Volpert, Vitaly A. 7 Wang, Zhi Cheng 7 Wu, Jianhua 7 Zhang, Qingling 7 Zhou, Jun 6 Li, Yongkun 6 Song, Yongli 6 Teng, Zhi-dong 5 Chaplain, Mark A. J. 5 Dai, Binxiang 5 Feng, Zhaosheng 5 Liu, Chao 5 Ma, Ruyun 5 Shao, Yuanfu 5 Xie, Xiangdong 4 Banerjee, Sandip 4 Boswell, Graeme P. 4 Ding, Xiaoquan 4 Huang, Lihong 4 Liao, Maoxin 4 Liu, Junli 4 Macías-Díaz, Jorge Eduardo 4 Pelen, Neslihan Nesliye 4 Ruan, Shigui 4 Rynne, Bryan P. 4 Song, Xinyu 4 Su, Youhui 4 Zhao, Hongyong 4 Zhou, Jianwen 3 Alam, Shariful 3 Bayliss, Alvin 3 Cai, Liming 3 Chen, Shanshan 3 Chen, Wenyan 3 Dodds, Niall 3 Du, Huan 3 Gan, Qintao 3 Huo, Hai-Feng 3 Jia, Yunfeng 3 Kumari, Nitu 3 Li, Bo 3 Li, Rui 3 Liu, Shengqiang 3 Liu, Zhijun 3 Liu, Zuhan 3 Luo, Hua 3 Malchow, Horst 3 Mu, Chunlai 3 Perré, Patrick 3 Roy, Jyotirmoy Sinha 3 Sherratt, Jonathan A. 3 Su, Juan 3 Volpert, Vladimir A. 3 Wan, Aying 3 Wang, Jinfeng 3 Wang, Ke 3 Wei, Fengying 3 Xu, Xian 3 Zeng, Xianzhong 3 Zhang, Xue 3 Zhao, Min 3 Zhou, Ling 3 Zou, Xingfu 2 Agarwal, Ravi P. 2 Alzahrani, Ebraheem O. 2 Amster, Pablo 2 Banerjee, Malay 2 Ben Amma, Bouchra 2 Bie, Qunyi 2 Chadli, Lalla Saadia 2 Chakraborty, Kunal 2 Chakraborty, Milon 2 Chang, Meng-Xue 2 Chen, Li 2 Chen, Wencheng 2 Crawford, John W. 2 de Nápoli, Pablo Luis 2 Dhar, Joydip 2 Diaz-Marin, Homero G. 2 Ding, Wei 2 Ding, Xiaohua 2 Du, Bo 2 Duan, Xiaodong 2 Dzwinel, Witold 2 Eckhardt, Jonathan 2 Eilertsen, Justin S. 2 Fan, Xiaoming 2 Faria, Teresa ...and 628 more Authors all top 5 Cited in 122 Serials 46 Applied Mathematics and Computation 32 Nonlinear Analysis. Real World Applications 25 Advances in Difference Equations 18 Journal of Mathematical Analysis and Applications 17 Discrete Dynamics in Nature and Society 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Journal of Differential Equations 13 Chaos, Solitons and Fractals 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Abstract and Applied Analysis 11 Nonlinear Dynamics 11 International Journal of Biomathematics 10 Applied Mathematical Modelling 10 Journal of Theoretical Biology 9 Applied Mathematics Letters 9 Mathematical and Computer Modelling 8 Journal of Computational and Applied Mathematics 8 Journal of Mathematical Chemistry 7 Computers & Mathematics with Applications 7 Journal of Mathematical Biology 7 Communications in Nonlinear Science and Numerical Simulation 6 Bulletin of Mathematical Biology 6 Mathematics and Computers in Simulation 6 Discrete and Continuous Dynamical Systems. Series B 5 Discrete and Continuous Dynamical Systems 5 Journal of Applied Mathematics 5 Journal of Applied Mathematics and Computing 4 Applicable Analysis 4 Mathematical Biosciences 4 Mathematical Methods in the Applied Sciences 4 Physica A 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Journal of Difference Equations and Applications 4 Mathematical Biosciences and Engineering 4 Boundary Value Problems 4 Open Mathematics 3 Journal of the Franklin Institute 3 Physica D 3 Journal of Dynamics and Differential Equations 3 Journal of Nonlinear Science 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Biological Dynamics 3 Journal of Mathematics 3 AIMS Mathematics 2 International Journal of Control 2 Journal of Engineering Mathematics 2 Annales Polonici Mathematici 2 International Journal of Mathematics and Mathematical Sciences 2 Theoretical Population Biology 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Differential Equations and Dynamical Systems 2 Nonlinear Analysis. Modelling and Control 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematical Modelling of Natural Phenomena 2 Afrika Matematika 2 Journal of Applied Analysis and Computation 2 Electronic Research Archive 1 Biological Cybernetics 1 Inverse Problems 1 Nonlinearity 1 Reports on Mathematical Physics 1 Ukrainian Mathematical Journal 1 Information Sciences 1 Journal of the Korean Mathematical Society 1 Monatshefte für Mathematik 1 Quaestiones Mathematicae 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ricerche di Matematica 1 Transactions of the American Mathematical Society 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Science in China. Series A 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 ACM Transactions on Modeling and Computer Simulation 1 Mathematical Problems in Engineering 1 Positivity 1 Journal of Inequalities and Applications 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Acta Mathematica Sinica. English Series 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Journal of Biological Systems 1 Journal of High Energy Physics ...and 22 more Serials all top 5 Cited in 25 Fields 368 Biology and other natural sciences (92-XX) 236 Ordinary differential equations (34-XX) 204 Partial differential equations (35-XX) 72 Dynamical systems and ergodic theory (37-XX) 33 Operator theory (47-XX) 25 Numerical analysis (65-XX) 19 Systems theory; control (93-XX) 17 Difference and functional equations (39-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral equations (45-XX) 6 Probability theory and stochastic processes (60-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year