Edit Profile (opens in new tab) Hastings, Alan Matthew Co-Author Distance Author ID: hastings.alan Published as: Hastings, Alan; Hastings, A. Homepage: https://alanhastings.ucdavis.edu/people/alan-hastings External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 80 Publications since 1977, including 1 Book and 2 Additional arXiv Preprints 6 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 90 Co-Authors with 59 Joint Publications 2,010 Co-Co-Authors all top 5 Co-Authors 28 single-authored 6 Levin, Simon Asher 4 Machta, Jonathan 3 Abbott, Karen C. 3 Blackwood, Julie C. 3 Goldwyn, Eli E. 3 Klebanoff, Aaron 3 Lai, Yingcheng 3 Mallela, Abhishek 3 Wollkind, David J. 2 Arroyo-Esquivel, Jorge 2 Botsford, Louis W. 2 Buonocore, Aniello 2 Caswell, Hal 2 Di Crescenzo, Antonio 2 Dugaw, Christopher J. 2 Esmaeili, Shadisadat 2 Hall, Richard J. 2 Liebhold, Andrew M. 2 Logan, Jesse A. 2 Lyles, Danielle 2 Nareddy, Vahini Reddy 2 Preisser, Evan L. 2 Rasmussen, Martin 2 Rosenstock, Todd S. 2 Strong, Donald R. 1 Agusto, Folashade B. 1 Ayala, Francisco José 1 Baskett, Marissa L. 1 Brown, David H. 1 Brown, Patrick H. 1 Chappelle, George 1 Chen-Charpentier, Benito Miguel 1 Chesson, Peter L. 1 Clark, Tim W. 1 Cohen, Dan 1 Corcoran, Carl 1 Diekmann, Odo 1 Do, Younghae 1 Fan, Huawei 1 Fox, Gordon A. 1 Frauenthal, James C. 1 Galvani, Alison P. 1 Gavrilets, Sergey 1 Grebogi, Celso 1 Grenfell, Bryan T. 1 Gross, Louis J. 1 Gurney, William S. C. 1 Hallam, Thomas G. 1 Harrison, Susan 1 Higgins, Kevin 1 Hilker, Frank M. 1 Hoffman, Forrest M. 1 Holland, Matthew D. 1 Huang, Zi-Gang 1 Huffmyer, William 1 Ji, Fang 1 Jiang, Jiang 1 Jiang, Junjie 1 Kareiva, P. M. 1 King, Aaron A. 1 Kong, Lingwei 1 Kye, Geunho 1 Largier, John L. 1 Lassiter, Ray R. 1 Laubenbacher, Reinhard C. 1 Li, Xiong 1 Lin, Wei 1 Luo, Yiqi 1 May, Robert McCredie 1 McCann, Kevin S. 1 Meyer, Alexander D. 1 Minta, Steven 1 Nisbet, Roger M. 1 Noble, Andrew E. 1 Okubo, Akira 1 Palmer, Margaret A. 1 Panahi, Shirin 1 Perelson, Alan S. 1 Pimm, Stuart L. 1 Ricciardi, Luigi Maria 1 Riciciardi, Luigi M. 1 Sánchez, María S. 1 Sarvela, Jacob N. 1 Schreiber, Sebastian J. 1 Seager, Thomas P. 1 Serradilla, Juan M. 1 Singer, Burton H. 1 Smith, Matthew J. 1 Taylor, Caz M. 1 Todd-Brown, Katherine E. O. 1 Turelli, Michael 1 Umbanhowar, James 1 van den Driessche, Pauline 1 Vortkamp, Irina 1 Wang, Hao 1 Wang, Xingang 1 Wang, Ying 1 Wang, Yingping 1 Wilson, Will 1 Worden, Lee ...and 4 more Co-Authors all top 5 Serials 18 Theoretical Population Biology 14 Journal of Mathematical Biology 14 Bulletin of Mathematical Biology 10 Journal of Theoretical Biology 7 Proceedings of the National Academy of Sciences of the United States of America 4 Mathematical Biosciences 3 Science 1 Journal of Mathematical Analysis and Applications 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 Mathematical Biosciences and Engineering 1 Biomathematics (Berlin) 1 Lectures on Mathematics in the Life Sciences all top 5 Fields 83 Biology and other natural sciences (92-XX) 15 Ordinary differential equations (34-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 5 Probability theory and stochastic processes (60-XX) 3 Difference and functional equations (39-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Partial differential equations (35-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Numerical analysis (65-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 63 Publications have been cited 1,037 times in 897 Documents Cited by ▼ Year ▼ Can spatial variation alone lead to selection for dispersal? Zbl 0526.92025 Hastings, Alan 147 1983 Chaos in three species food chains. Zbl 0823.92030 Klebanoff, Aaron; Hastings, Alan 113 1994 Global stability in Lotka-Volterra systems with diffusion. Zbl 0393.92013 Hastings, Alan 65 1978 Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates. Zbl 0496.92010 Hastings, Alan 62 1982 Age-dependent predation is not a simple process. I. Continuous time models. Zbl 0507.92016 Hastings, Alan 53 1983 Dispersal strategies in patchy environments. Zbl 0541.92022 Levin, Simon A.; Cohen, Dan; Hastings, Alan 40 1984 Delays in recruitment at different trophic levels: Effects on stability. Zbl 0547.92014 Hastings, Alan 40 1984 Chaos in one-predator, two-prey models: General results from bifurcation theory. Zbl 0802.92017 Klebanoff, Aaron; Hastings, Alan 40 1994 Mathematical and computational challenges in population biology and ecosystems science. Zbl 1225.92058 Levin, S. A.; Grenfell, B.; Hastings, A.; Perelson, A. S. 39 1997 Global stability of two species systems. Zbl 0382.92008 Hastings, Alan 39 1978 Disturbance, coexistence, history, and competition for space. Zbl 0447.92023 Hastings, Alan 32 1980 Spatial heterogencity and the stability of predator-prey systems. Zbl 0371.92016 Hastings, Alan 27 1977 Stable cycling in discrete-time genetic models. Zbl 0466.92010 Hastings, Alan 27 1981 Population biology. Concepts and models. Zbl 0870.92016 Hastings, Alan 26 1996 Cycles in cannibalistic egg-larval interactions. Zbl 0608.92014 Hastings, Alan 25 1987 When can dispersal synchronize populations? Zbl 1210.92051 Goldwyn, Eli E.; Hastings, Alan 21 2008 Stochastic dynamics and deterministic skeletons. Population behavior of dungeness crab. Zbl 1225.60113 Higgins, Kevin; Hastings, Alan; Sarvela, Jacob N.; Botsford, Louis W. 18 1997 Multiple limit cycles in predator-prey models. Zbl 0471.92022 Hastings, Alan 16 1981 Predicting tipping points in mutualistic networks through dimension reduction. Zbl 1416.92180 Jiang, Junjie; Huang, Zi-Gang; Seager, Thomas P.; Lin, Wei; Grebogi, Celso; Hastings, Alan; Lai, Ying-Cheng 16 2018 Age dependent dispersal is not a simple process: Density dependence, stability, and chaos. Zbl 0747.92022 Hastings, Alan 15 1992 Age-dependent predation is not a simple process. II. Wolves, ungulates, and a discrete time model for predation on juveniles with a stabilizing tail. Zbl 0541.92018 Hastings, Alan 14 1984 Small heterogeneity has large effects on synchronization of ecological oscillators. Zbl 1169.92044 Goldwyn, Eli E.; Hastings, Alan 11 2009 Spatial heterogeneity and the stability of predator-prey systems: Predator-Mediated coexistence. Zbl 0392.92012 Hastings, Alan 10 1978 Sudden shifts in ecological systems: intermittency and transients in the coupled Ricker population model. Zbl 1142.92048 Wysham, Derin B.; Hastings, Alan 10 2008 The roles of the Moran effect and dispersal in synchronizing oscillating populations. Zbl 1397.92572 Goldwyn, Eli E.; Hastings, Alan 9 2011 Population outbreaks in a discrete world. Zbl 0973.92033 McCann, Kevin; Hastings, Alan; Harrison, Susan; Wilson, Will 8 2000 Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019 Rasmussen, Martin; Hastings, Alan; Smith, Matthew J.; Agusto, Folashade B.; Chen-Charpentier, Benito M.; Hoffman, Forrest M.; Jiang, Jiang; Todd-Brown, Katherine E. O.; Wang, Ying; Wang, Ying-Ping; Luo, Yiqi 8 2016 Maintenance of multilocus variability under strong stabilizing selection. Zbl 0796.92017 Gavrilets, Sergey; Hastings, Alan 7 1994 The role of large environmental noise in masting: general model and example from pistachio trees. Zbl 1402.92354 Lyles, Danielle; Rosenstock, Todd S.; Hastings, Alan; Brown, Patrick H. 7 2009 A simple approach to optimal control of invasive species. Zbl 1112.92061 Hastings, Alan; Hall, Richard J.; Taylor, Caz M. 6 2006 Age structure in predator-prey systems. I. A general model and a specific example. Zbl 0494.92016 Hastings, Alan; Wollkind, David 6 1982 Multiple attractors and long transients in spatially structured populations with an Allee effect. Zbl 1453.92267 Vortkamp, Irina; Schreiber, Sebastian J.; Hastings, Alan; Hilker, Frank M. 6 2020 Spatial mechanisms for coexistence of species sharing a common natural enemy. Zbl 1105.92041 King, Aaron A.; Hastings, Alan 5 2003 Role of environmental variability in the evolution of life history strategies. Zbl 0409.92014 Hastings, Alan; Caswell, Hal 5 1979 Mathematical analysis of coral reef models. Zbl 1368.92148 Li, Xiong; Wang, Hao; Zhang, Zheng; Hastings, Alan 5 2014 Frequency responses of age-structured populations: Pacific salmon as an example. Zbl 1403.92274 Worden, Lee; Botsford, Louis W.; Hastings, Alan; Holland, Matthew D. 5 2010 A bright future for biologists and mathematicians? Zbl 1226.92002 Hastings, Alan; Palmer, Margaret A. 4 2003 The impact of resource limitation and the phenology of parasitoid attack on the duration of insect herbivore outbreaks. Zbl 1101.92321 Umbanhowar, James; Hastings, Alan 4 2002 Mathematical ecology. An introduction. (Papers presented at the Autumn Course on Mathematical Ecology, held at the International Centre for Theoretical Physics, Miramare (Trieste), Italy, November-December 1982). Zbl 0598.92019 4 1986 Marginal underdominance at a stable equilibrium. Zbl 0466.92009 Hastings, Alan 4 1981 A hybrid model for the population dynamics of periodical cicadas. Zbl 1415.92154 Machta, Jonathan; Blackwood, Julie C.; Noble, Andrew; Liebhold, Andrew M.; Hastings, Alan 4 2019 Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment. Zbl 0494.92017 Wollkind, David; Hastings, Alan; Logan, Jesse 3 1982 A metapopulation model with population jumps of varying sizes. Zbl 0833.92013 Hastings, Alan 3 1995 McKendrick von Foerster models for patch dynamics. Zbl 0735.92024 Hastings, Alan 3 1991 Fecundity, developmental time, and population growth rate: An analytical solution. Zbl 0432.92021 Caswell, Hal; Hastings, Alan 3 1980 The role of stochasticity in noise-induced tipping point cascades: a master equation approach. Zbl 1466.92152 Mallela, Abhishek; Hastings, Alan 3 2021 Resistance may be futile: dispersal scales and selection for disease resistance in competing plants. Zbl 1464.92183 Brown, David H.; Hastings, Alan 3 2003 Deterministic multilocus population genetics: An overview. Zbl 0683.92011 Hastings, Alan 2 1989 Boundary-layer model for the population dynamics of single species. Zbl 0447.92018 Hastings, Alan; Serradilla, Juan M.; Ayala, Francisco J. 2 1981 Seasonally limited host supply generates microparasite population cycles. Zbl 1334.92333 Dugaw, Christopher J.; Hastings, Alan; Preisser, Evan L.; Strong, Donald R. 2 2004 Spatial dynamics and spread of ecosystem engineers: two patch analysis. Zbl 1454.92035 Arroyo-Esquivel, Jorge; Hastings, Alan 2 2020 Community ecology. A workshop held at Davis, CA, April 1986. Zbl 0696.92021 1 1988 Spontaneous patchiness in a host-parasitoid integrodifference model. Zbl 1245.34078 Wright, R. W.; Hastings, Alan 1 2007 Maintenance of high disequilibrium in the presence of partial selfing. Zbl 0539.92015 Hastings, Alan 1 1984 Conservation and spatial structure: Theoretical approaches. Zbl 0925.92113 Hastings, Alan 1 1994 Maintenance of polygenic variation through mutation-selection balance: Bifurcation analysis of a biallelic model. Zbl 0717.92014 Hastings, A. 1 1990 Population dynamics in patchy environments. Zbl 0436.92023 Hastings, Alan 1 1980 Spatial heterogeneity and the stability of predator-prey systems: Population cycles. Zbl 0442.92019 Hastings, Alan 1 1979 Plant reproduction and environmental noise: how do plants do it? Zbl 1339.92043 Lyles, Danielle; Rosenstock, Todd S.; Hastings, Alan 1 2015 Tipping cascades in a multi-patch system with noise and spatial coupling. Zbl 1476.92053 Mallela, Abhishek; Hastings, Alan 1 2021 Minimizing invader impacts: striking the right balance between removal and restoration. Zbl 1453.92246 Hall, Richard J.; Hastings, Alan 1 2007 A low-dimensional network model for an SIS epidemic: analysis of the super compact pairwise model. Zbl 1467.92183 Corcoran, Carl; Hastings, Alan 1 2021 The effect of time delays on Caribbean coral-algal interactions. Zbl 1405.92278 Blackwood, Julie C.; Hastings, Alan 1 2011 The role of stochasticity in noise-induced tipping point cascades: a master equation approach. Zbl 1466.92152 Mallela, Abhishek; Hastings, Alan 3 2021 Tipping cascades in a multi-patch system with noise and spatial coupling. Zbl 1476.92053 Mallela, Abhishek; Hastings, Alan 1 2021 A low-dimensional network model for an SIS epidemic: analysis of the super compact pairwise model. Zbl 1467.92183 Corcoran, Carl; Hastings, Alan 1 2021 Multiple attractors and long transients in spatially structured populations with an Allee effect. Zbl 1453.92267 Vortkamp, Irina; Schreiber, Sebastian J.; Hastings, Alan; Hilker, Frank M. 6 2020 Spatial dynamics and spread of ecosystem engineers: two patch analysis. Zbl 1454.92035 Arroyo-Esquivel, Jorge; Hastings, Alan 2 2020 A hybrid model for the population dynamics of periodical cicadas. Zbl 1415.92154 Machta, Jonathan; Blackwood, Julie C.; Noble, Andrew; Liebhold, Andrew M.; Hastings, Alan 4 2019 Predicting tipping points in mutualistic networks through dimension reduction. Zbl 1416.92180 Jiang, Junjie; Huang, Zi-Gang; Seager, Thomas P.; Lin, Wei; Grebogi, Celso; Hastings, Alan; Lai, Ying-Cheng 16 2018 Transit times and mean ages for nonautonomous and autonomous compartmental systems. Zbl 1358.34019 Rasmussen, Martin; Hastings, Alan; Smith, Matthew J.; Agusto, Folashade B.; Chen-Charpentier, Benito M.; Hoffman, Forrest M.; Jiang, Jiang; Todd-Brown, Katherine E. O.; Wang, Ying; Wang, Ying-Ping; Luo, Yiqi 8 2016 Plant reproduction and environmental noise: how do plants do it? Zbl 1339.92043 Lyles, Danielle; Rosenstock, Todd S.; Hastings, Alan 1 2015 Mathematical analysis of coral reef models. Zbl 1368.92148 Li, Xiong; Wang, Hao; Zhang, Zheng; Hastings, Alan 5 2014 The roles of the Moran effect and dispersal in synchronizing oscillating populations. Zbl 1397.92572 Goldwyn, Eli E.; Hastings, Alan 9 2011 The effect of time delays on Caribbean coral-algal interactions. Zbl 1405.92278 Blackwood, Julie C.; Hastings, Alan 1 2011 Frequency responses of age-structured populations: Pacific salmon as an example. Zbl 1403.92274 Worden, Lee; Botsford, Louis W.; Hastings, Alan; Holland, Matthew D. 5 2010 Small heterogeneity has large effects on synchronization of ecological oscillators. Zbl 1169.92044 Goldwyn, Eli E.; Hastings, Alan 11 2009 The role of large environmental noise in masting: general model and example from pistachio trees. Zbl 1402.92354 Lyles, Danielle; Rosenstock, Todd S.; Hastings, Alan; Brown, Patrick H. 7 2009 When can dispersal synchronize populations? Zbl 1210.92051 Goldwyn, Eli E.; Hastings, Alan 21 2008 Sudden shifts in ecological systems: intermittency and transients in the coupled Ricker population model. Zbl 1142.92048 Wysham, Derin B.; Hastings, Alan 10 2008 Spontaneous patchiness in a host-parasitoid integrodifference model. Zbl 1245.34078 Wright, R. W.; Hastings, Alan 1 2007 Minimizing invader impacts: striking the right balance between removal and restoration. Zbl 1453.92246 Hall, Richard J.; Hastings, Alan 1 2007 A simple approach to optimal control of invasive species. Zbl 1112.92061 Hastings, Alan; Hall, Richard J.; Taylor, Caz M. 6 2006 Seasonally limited host supply generates microparasite population cycles. Zbl 1334.92333 Dugaw, Christopher J.; Hastings, Alan; Preisser, Evan L.; Strong, Donald R. 2 2004 Spatial mechanisms for coexistence of species sharing a common natural enemy. Zbl 1105.92041 King, Aaron A.; Hastings, Alan 5 2003 A bright future for biologists and mathematicians? Zbl 1226.92002 Hastings, Alan; Palmer, Margaret A. 4 2003 Resistance may be futile: dispersal scales and selection for disease resistance in competing plants. Zbl 1464.92183 Brown, David H.; Hastings, Alan 3 2003 The impact of resource limitation and the phenology of parasitoid attack on the duration of insect herbivore outbreaks. Zbl 1101.92321 Umbanhowar, James; Hastings, Alan 4 2002 Population outbreaks in a discrete world. Zbl 0973.92033 McCann, Kevin; Hastings, Alan; Harrison, Susan; Wilson, Will 8 2000 Mathematical and computational challenges in population biology and ecosystems science. Zbl 1225.92058 Levin, S. A.; Grenfell, B.; Hastings, A.; Perelson, A. S. 39 1997 Stochastic dynamics and deterministic skeletons. Population behavior of dungeness crab. Zbl 1225.60113 Higgins, Kevin; Hastings, Alan; Sarvela, Jacob N.; Botsford, Louis W. 18 1997 Population biology. Concepts and models. Zbl 0870.92016 Hastings, Alan 26 1996 A metapopulation model with population jumps of varying sizes. Zbl 0833.92013 Hastings, Alan 3 1995 Chaos in three species food chains. Zbl 0823.92030 Klebanoff, Aaron; Hastings, Alan 113 1994 Chaos in one-predator, two-prey models: General results from bifurcation theory. Zbl 0802.92017 Klebanoff, Aaron; Hastings, Alan 40 1994 Maintenance of multilocus variability under strong stabilizing selection. Zbl 0796.92017 Gavrilets, Sergey; Hastings, Alan 7 1994 Conservation and spatial structure: Theoretical approaches. Zbl 0925.92113 Hastings, Alan 1 1994 Age dependent dispersal is not a simple process: Density dependence, stability, and chaos. Zbl 0747.92022 Hastings, Alan 15 1992 McKendrick von Foerster models for patch dynamics. Zbl 0735.92024 Hastings, Alan 3 1991 Maintenance of polygenic variation through mutation-selection balance: Bifurcation analysis of a biallelic model. Zbl 0717.92014 Hastings, A. 1 1990 Deterministic multilocus population genetics: An overview. Zbl 0683.92011 Hastings, Alan 2 1989 Community ecology. A workshop held at Davis, CA, April 1986. Zbl 0696.92021 1 1988 Cycles in cannibalistic egg-larval interactions. Zbl 0608.92014 Hastings, Alan 25 1987 Mathematical ecology. An introduction. (Papers presented at the Autumn Course on Mathematical Ecology, held at the International Centre for Theoretical Physics, Miramare (Trieste), Italy, November-December 1982). Zbl 0598.92019 4 1986 Dispersal strategies in patchy environments. Zbl 0541.92022 Levin, Simon A.; Cohen, Dan; Hastings, Alan 40 1984 Delays in recruitment at different trophic levels: Effects on stability. Zbl 0547.92014 Hastings, Alan 40 1984 Age-dependent predation is not a simple process. II. Wolves, ungulates, and a discrete time model for predation on juveniles with a stabilizing tail. Zbl 0541.92018 Hastings, Alan 14 1984 Maintenance of high disequilibrium in the presence of partial selfing. Zbl 0539.92015 Hastings, Alan 1 1984 Can spatial variation alone lead to selection for dispersal? Zbl 0526.92025 Hastings, Alan 147 1983 Age-dependent predation is not a simple process. I. Continuous time models. Zbl 0507.92016 Hastings, Alan 53 1983 Dynamics of a single species in a spatially varying environment: The stabilizing role of high dispersal rates. Zbl 0496.92010 Hastings, Alan 62 1982 Age structure in predator-prey systems. I. A general model and a specific example. Zbl 0494.92016 Hastings, Alan; Wollkind, David 6 1982 Age structure in predator-prey systems. II. Functional response and stability and the paradox of enrichment. Zbl 0494.92017 Wollkind, David; Hastings, Alan; Logan, Jesse 3 1982 Stable cycling in discrete-time genetic models. Zbl 0466.92010 Hastings, Alan 27 1981 Multiple limit cycles in predator-prey models. Zbl 0471.92022 Hastings, Alan 16 1981 Marginal underdominance at a stable equilibrium. Zbl 0466.92009 Hastings, Alan 4 1981 Boundary-layer model for the population dynamics of single species. Zbl 0447.92018 Hastings, Alan; Serradilla, Juan M.; Ayala, Francisco J. 2 1981 Disturbance, coexistence, history, and competition for space. Zbl 0447.92023 Hastings, Alan 32 1980 Fecundity, developmental time, and population growth rate: An analytical solution. Zbl 0432.92021 Caswell, Hal; Hastings, Alan 3 1980 Population dynamics in patchy environments. Zbl 0436.92023 Hastings, Alan 1 1980 Role of environmental variability in the evolution of life history strategies. Zbl 0409.92014 Hastings, Alan; Caswell, Hal 5 1979 Spatial heterogeneity and the stability of predator-prey systems: Population cycles. Zbl 0442.92019 Hastings, Alan 1 1979 Global stability in Lotka-Volterra systems with diffusion. Zbl 0393.92013 Hastings, Alan 65 1978 Global stability of two species systems. Zbl 0382.92008 Hastings, Alan 39 1978 Spatial heterogeneity and the stability of predator-prey systems: Predator-Mediated coexistence. Zbl 0392.92012 Hastings, Alan 10 1978 Spatial heterogencity and the stability of predator-prey systems. Zbl 0371.92016 Hastings, Alan 27 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,373 Authors 35 Chen, Lansun 33 Hastings, Alan Matthew 31 Lou, Yuan 16 Lam, King-Yeung 16 Wang, Fengyan 15 Takeuchi, Yasuhiro 13 Cosner, Chris 12 Xu, Rui 11 Cantrell, Robert Stephen 11 Pang, Guoping 9 Chaplain, Mark A. J. 9 Kooi, Bob W. 8 Cui, Jingan 8 Davidson, Fordyce A. 8 Iwasa, Yoh 8 Schreiber, Sebastian J. 8 Song, Xinyu 8 Zhang, Shuwen 7 Chattopadhyay, Joydev 7 Freedman, Herbert Irving 7 Gakkhar, Sunita 7 Levin, Simon Asher 7 Lewis, Mark Alun 7 Lutscher, Frithjof 7 Parvinen, Kalle 7 Rinaldi, Sergio 7 Shi, Junping 6 Boer, Martin P. 6 Bürger, Reinhard 6 Cao, Jinde 6 Chen, Shanshan 6 DeAngelis, Donald L. 6 Naji, Raid Kamel 6 Ruan, Shigui 6 Tang, De 6 Teng, Zhi-dong 6 Wu, YiXiang 5 Allen, Linda J. S. 5 Banerjee, Malay 5 Duan, Dongli 5 Feldman, Marcus W. 5 Hening, Alexandru 5 Jansen, Vincent A. A. 5 Kar, Tapan Kumar 5 Kisdi, Éva 5 Lu, Zhengyi 5 Meng, Xinzhu 5 Nie, Hua 5 Petrovskii, Sergei V. 5 Samanta, Sudip 5 Singh, Anuraj 5 Tang, Sanyi 5 Wu, Jianhong 5 Yakubu, Abdul-Aziz 5 Zhang, Long 5 Zhou, Peng 4 Abbott, Karen C. 4 Abrams, Peter A. 4 Ali, Nijamuddin 4 Altenberg, Lee 4 Beretta, Edoardo 4 Biswas, Santosh 4 Chesson, Peter L. 4 Doering, Charles Rogers 4 Drossel, Barbara 4 Guichard, Frédéric 4 Kang, Yun 4 Křivan, Vlastimil 4 Kuznetsov, Yuri Alexandrovich 4 Liu, Meng 4 Machta, Jonathan 4 Morozov, Andrew Yu. 4 Namba, Toshiyuki 4 Nguyen, Dang Hai 4 Ni, Wei-Ming 4 Saito, Yasuhisa 4 Shuai, Zhisheng 4 Song, Qiankun 4 van Gorder, Robert Ashton 4 Wang, Jinfeng 4 Wang, Wendi 4 Zhong, Shou-Ming 4 Zou, Xingfu 3 Agarwal, Ravi P. 3 Aziz-Alaoui, Moulay-Ahmed 3 Caraco, Thomas 3 Colucci, Renato 3 Cushing, Jim M. 3 Dai, Binxiang 3 Elderkin, Richard H. 3 Gao, Shujing 3 Hao, Chunping 3 He, Xiaoqing 3 Hou, Gege 3 Hsu, Szebi 3 Jiang, Hongyan 3 Jiang, Weihua 3 Jin, Haiyang 3 Jin, Zhen 3 Kalabušić, Senada ...and 1,273 more Authors all top 5 Cited in 135 Serials 118 Theoretical Population Biology 86 Journal of Mathematical Biology 70 Journal of Theoretical Biology 47 Chaos, Solitons and Fractals 45 Bulletin of Mathematical Biology 43 Mathematical Biosciences 32 Journal of Mathematical Analysis and Applications 29 Applied Mathematics and Computation 21 Nonlinear Analysis. Real World Applications 20 Journal of Differential Equations 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 15 Physica A 15 Communications in Nonlinear Science and Numerical Simulation 14 Discrete and Continuous Dynamical Systems. Series B 12 Journal of Biological Dynamics 10 Mathematical Biosciences and Engineering 9 Mathematical Methods in the Applied Sciences 9 Journal of Computational and Applied Mathematics 9 Journal of Mathematical Chemistry 9 Nonlinear Dynamics 9 Abstract and Applied Analysis 9 Chaos 9 Journal of Applied Mathematics and Computing 8 Applied Mathematical Modelling 8 Discrete Dynamics in Nature and Society 8 International Journal of Biomathematics 7 Computers & Mathematics with Applications 7 Mathematical and Computer Modelling 7 SIAM Journal on Applied Mathematics 7 Journal of Applied Mathematics 7 Nonlinear Analysis. Theory, Methods & Applications 6 SIAM Journal on Applied Dynamical Systems 5 Applicable Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Journal of Biological Systems 5 Mathematical Modelling of Natural Phenomena 4 Nonlinearity 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 Journal of Difference Equations and Applications 4 Discrete and Continuous Dynamical Systems 4 Natural Resource Modeling 4 Advances in Difference Equations 4 The Annals of Applied Statistics 3 Acta Applicandae Mathematicae 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Dynamics and Differential Equations 3 Journal of Nonlinear Science 3 Differential Equations and Dynamical Systems 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Applied Mathematics and Mechanics. (English Edition) 2 Japan Journal of Industrial and Applied Mathematics 2 Proceedings of the National Academy of Sciences of the United States of America 2 Calculus of Variations and Partial Differential Equations 2 Open Systems & Information Dynamics 2 Qualitative Theory of Dynamical Systems 2 Dynamical Systems 2 Boundary Value Problems 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Applied Analysis and Computation 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 International Journal of Modern Physics B 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Physics Letters. A 1 Physics Reports 1 Automatica 1 Gaṇita 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Mathematics and Computers in Simulation 1 Memoirs of the American Mathematical Society 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Studies in Applied Mathematics 1 Theoretical Computer Science 1 Tôhoku Mathematical Journal. Second Series 1 Transactions of the American Mathematical Society 1 Stochastic Analysis and Applications 1 Physica D 1 Applied Mathematics Letters 1 Annals of Operations Research 1 The Annals of Applied Probability 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 European Journal of Operational Research 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Review 1 Stochastic Processes and their Applications 1 Test 1 Applied Mathematics. Series B (English Edition) 1 Computational and Applied Mathematics 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Complexity 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Documenta Mathematica ...and 35 more Serials all top 5 Cited in 31 Fields 842 Biology and other natural sciences (92-XX) 308 Ordinary differential equations (34-XX) 194 Dynamical systems and ergodic theory (37-XX) 160 Partial differential equations (35-XX) 54 Probability theory and stochastic processes (60-XX) 52 Difference and functional equations (39-XX) 40 Numerical analysis (65-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Systems theory; control (93-XX) 19 Integral equations (45-XX) 16 Statistics (62-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Operations research, mathematical programming (90-XX) 8 Operator theory (47-XX) 6 Computer science (68-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Geophysics (86-XX) 3 Fluid mechanics (76-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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