Edit Profile (opens in new tab) Cushing, Jim M. Compute Distance To: Compute Author ID: cushing.jim-m Published as: Cushing, J. M.; Cushing, Jim M.; Cushing, J. Homepage: https://www.researchgate.net/profile/Jim-Cushing External Links: MGP · Wikidata · Google Scholar · ResearchGate · IdRef Documents Indexed: 147 Publications since 1969, including 2 Books 9 Contributions as Editor Reviewing Activity: 91 Reviews Co-Authors: 62 Co-Authors with 64 Joint Publications 2,156 Co-Co-Authors all top 5 Co-Authors 88 single-authored 17 Henson, Shandelle Marie 7 Bownds, John M. 6 Costantino, R. F. 4 Dennis, Brian H. 4 Desharnais, Robert A. 4 Elaydi, Saber Nasr 4 Li, Jia 4 Robertson, Suzanne L. 4 Veprauskas, Amy 3 Chitnis, Nakul 2 Diekmann, Odo 2 Hayward, James L. 2 Hyman, James M. 2 Jang, Sophia R.-J. 2 Levarge, Sheree 2 Pinto, Alberto Adrego 2 Rael, R. C. 2 Vincent, Thomas L. 1 Ackleh, Azmy S. 1 Agur, S. 1 Allen, Linda J. S. 1 Alsedà, Lluís 1 Alsharawi, Ziyad 1 Arpin, Sheree L. 1 Blackburn, Chantel C. 1 Cohen, Yosef 1 De Leenheer, Patrick 1 Dunninger, Dennis R. 1 Farrell, Alex P. 1 Galusha, Joseph G. 1 Gyllenberg, Mats 1 Heesterbeek, Hans 1 Hudson, Jarred T. 1 Jagers, Peter 1 Ji, Lia 1 Khan, Mumtaz Ahmad 1 Kimmel, Marek 1 King, Aaron A. 1 Kostova, Tanya V. 1 Kuang, Yang 1 Lasser, Rupert 1 Lytle, David A. 1 Martins, Filipe 1 Meissen, Emily P. 1 Merajuddin, M. 1 Milner, Fabio Augusto 1 Mohapatra, Anushaya 1 Ohms, Haley A. 1 Papageorgiou, Vassilios G. 1 Reilly, James R. 1 Roeger, Lih-Ing Wu 1 Rozier, Eric W. D. 1 Ruffing, Andreas 1 Salau, Kehinde R. 1 Schu, Matthew C. 1 Schutte, R. 1 Simmes, S. D. 1 Srivastava, Hari Mohan 1 Stefanko, Kathryn 1 Stump, Simon Maccracken 1 Van Assche, Walter 1 Zhou, Yicang all top 5 Serials 18 Journal of Mathematical Biology 17 Journal of Biological Dynamics 15 Journal of Difference Equations and Applications 11 Journal of Mathematical Analysis and Applications 8 SIAM Journal on Applied Mathematics 6 Bulletin of Mathematical Biology 5 Mathematical Biosciences 4 Funkcialaj Ekvacioj. Serio Internacia 4 Mathematical Biosciences and Engineering 3 Mathematical Systems Theory 3 Theoretical Population Biology 3 SIAM Journal on Mathematical Analysis 3 Springer Proceedings in Mathematics & Statistics 2 Computers & Mathematics with Applications 2 Rocky Mountain Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Integral Equations 2 Natural Resource Modeling 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Chaos, Solitons and Fractals 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Aequationes Mathematicae 1 Computers and Mathematics with Applications. Part A 1 The Canadian Applied Mathematics Quarterly 1 Nonlinear World 1 Nonlinear Studies 1 Journal of Biological Systems 1 Nonlinear Dynamics and Systems Theory 1 SIAM Journal on Applied Dynamical Systems 1 Bulletin of the American Mathematical Society 1 Journal of Mathematics and Mechanics 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Lecture Notes in Biomathematics 1 Science 1 Nonlinear Analysis. Theory, Methods & Applications all top 5 Fields 120 Biology and other natural sciences (92-XX) 49 Difference and functional equations (39-XX) 32 Integral equations (45-XX) 30 Ordinary differential equations (34-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Partial differential equations (35-XX) 9 General and overarching topics; collections (00-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operator theory (47-XX) 3 Numerical analysis (65-XX) 3 Systems theory; control (93-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 140 Publications have been cited 2,786 times in 1,944 Documents Cited by ▼ Year ▼ Integrodifferential equations and delay models in population dynamics. Zbl 0363.92014Cushing, J. M. 360 1977 Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025Chitnis, Nakul; Hyman, James M.; Cushing, Jim M. 296 2008 An introduction to structured population dynamics. Zbl 0939.92026Cushing, J. M. 212 1998 Periodic time-dependent predator-prey systems. Zbl 0348.34031Cushing, J. M. 152 1977 Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047Chitnis, Nakul; Cushing, J. M.; Hyman, J. M. 131 2006 Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M. 86 2004 Two species competition in a periodic environment. Zbl 0455.92012Cushing, J. M. 82 1980 Chaotic dynamics in an insect population. Zbl 1225.37103Costantino, R. F.; Desharnais, R. A.; Cushing, J. M.; Dennis, B. 69 1997 A periodically forced Beverton-Holt equation. Zbl 1023.39013Cushing, J. M.; Henson, Shandelle M. 65 2002 Global dynamics of some periodically forced, monotone difference equations. Zbl 1002.39003Cushing, J. M.; Henson, Shandelle M. 63 2001 A predator prey model with age structure. Zbl 0501.92018Cushing, J. M.; Saleem, M. 47 1982 The effect of periodic habitat fluctuations on a nonlinear insect population model. Zbl 0890.92023Henson, Shandelle M.; Cushing, J. M. 46 1997 The dynamics of hierarchical age-structured populations. Zbl 0823.92018Cushing, J. M. 46 1994 Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M. 39 1998 A simple model of cannibalism. Zbl 0738.92015Cushing, J. M. 32 1991 Nonlinear matrix models and population dynamics. Zbl 0850.92069Cushing, J. M. 32 1988 Periodic Kolmogorov systems. Zbl 0506.34039Cushing, J. M. 31 1982 Multiple mixed-type attractors in a competition model. Zbl 1284.92108Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C. 29 2007 Existence and stability of equilibria in age-structured population dynamics. Zbl 0553.92014Cushing, J. M. 29 1984 Periodic Lotka-Volterra competition equations. Zbl 0608.92019Cushing, J. M. 29 1986 Periodically forced nonlinear systems of difference equations. Zbl 0905.39003Cushing, J. M. 25 1998 Periodic two-predator, one-prey interactions and the time sharing of a resource niche. Zbl 0554.92016Cushing, J. M. 23 1984 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400Cushing, J. M.; Diekmann, Odo 23 2016 On Ebenman’s model for the dynamics of a population with competing juveniles and adults. Zbl 0688.92012Cushing, J. M.; Li, Jia 22 1989 Multiple attractors, saddles, and population dynamics in periodic habitats. Zbl 1323.92169Henson, Shandelle M.; Costantino, R. F.; Cushing, J. M.; Dennis, Brian; Desharnais, Robert A. 21 1999 Hierarchical models of intra-specific competition: Scramble versus contest. Zbl 0878.92031Henson, Shandelle M.; Cushing, J. M. 20 1996 A size-structured model for cannibalism. Zbl 0768.92020Cushing, J. M. 20 1992 Forced asymptotically periodic solutions of predator-prey systems with or without hereditary effects. Zbl 0331.93078Cushing, J. M. 20 1976 A juvenile-adult model with periodic vital rates. Zbl 1112.92052Cushing, J. M. 19 2006 Global stability in a nonlinear difference-delay equation model of flour beetle population growth. Zbl 0862.39005Kuang, Yang; Cushing, J. M. 19 1996 Equilibria in structured populations. Zbl 0591.92018Cushing, J. M. 19 1985 The Allee effect in age-structured population dynamics. Zbl 0679.92019Cushing, J. M. 19 1988 Oscillatory population growth in periodic environments. Zbl 0599.92021Cushing, J. M. 18 1986 A chaotic attractor in ecology: Theory and experimental data. Zbl 0976.92022Cushing, J. M.; Henson, Shandelle M.; Desharnais, Robert A.; Dennis, Brian; Costantino, R. F.; King, Aaron 18 2001 Three stage semelparous Leslie models. Zbl 1204.92054Cushing, J. M. 18 2009 Nonlinear semelparous Leslie models. Zbl 1089.92040Cushing, J. M. 17 2006 A competition model for size-structured species. Zbl 0684.92020Cushing, J. M. 17 1989 Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences. Zbl 0367.34032Cushing, J. M. 16 1977 Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics. Zbl 0533.92014Cushing, J. M. 16 1983 A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Zbl 0850.92064Cushing, J. M. 16 1989 Juvenile versus adult competition. Zbl 0727.92022Cushing, J. M.; Li, Jia 16 1991 Bifurcation of periodic solutions of integrodifferential systems with applications to time delay models in population dynamics. Zbl 0381.45008Cushing, J. M. 15 1977 Intra-specific competition and density dependent juvenile growth. Zbl 0745.92022Cushing, J. M.; Li, Jia 15 1992 Some stability theorems for systems of Volterra integral equations. Zbl 0324.45013Bownds, J. M.; Cushing, J. M. 15 1975 Some stability criteria for linear systems of Volterra integral equations. Zbl 0251.45019Bownds, J. M.; Cushing, J. M. 14 1972 An operator equation and bounded solutions of integro-differential systems. Zbl 0301.45010Cushing, J. M. 14 1975 Periodic solutions of two species interaction models with lags. Zbl 0335.92018Cushing, J. M. 14 1976 Existence, uniqueness, and extendibility of solutions of Volterra integral systems with multiple, variable lags. Zbl 0345.45003Bownds, J. M.; Cushing, J. M.; Schutte, R. 13 1976 Stability and maturation periods in age structured populations. Zbl 0484.92022Cushing, J. M. 13 1981 On the behavior of solutions of predator-prey equations with hereditary terms. Zbl 0333.92015Bownds, J. M.; Cushing, J. M. 13 1975 Oscillations in age-structured population models with an Allee effect. Zbl 0808.92022Cushing, J. M. 13 1994 Stable limit cycles of time dependent multispecies interactions. Zbl 0341.92011Cushing, J. M. 12 1976 Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth. Zbl 0578.92020Cushing, J. M. 12 1985 Cycle chains and the LPA model. Zbl 1060.39012Cushing, J. M. 12 2003 Periodic solutions of Volterra’s population equation with hereditary effects. Zbl 0334.92026Cushing, J. M. 12 1976 On the relationship between \(r\) and \(R_0\) and its role in the bifurcation of stable equilibria of Darwinian matrix models. Zbl 1403.92239Cushing, J. M. 11 2011 Oscillations caused by cannibalism in a size-structured population model. Zbl 0838.92027Cushing, J. M.; Li, Jia 10 1995 A bifurcation theorem for Darwinian matrix models. Zbl 1192.92033Cushing, J. M. 9 2010 On preserving stability of Volterra integral equations under a general class of perturbations. Zbl 0316.45029Bownds, J. M.; Cushing, J. M. 9 1975 Periodic McKendrick equations for age-structured population growth. Zbl 0598.92013Cushing, J. M. 9 1986 Matrix models and population dynamics. Zbl 1352.92119Cushing, J. M. 9 2009 A representation formula for linear Volterra integral equations. Zbl 0256.45003Bownds, J. M.; Cushing, J. M. 9 1973 Time delays in single species growth models. Zbl 0356.92019Cushing, J. M. 8 1977 Nontrivial periodic solutions of integrodifferential equations. Zbl 0457.45004Cushing, J. M. 8 1979 Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing 7 2007 A discrete hierarchical model of intra-specific competition. Zbl 1019.92034Jang, S. R.-J.; Cushing, J. M. 7 2003 Difference equations as models of evolutionary population dynamics. Zbl 1447.92333Cushing, J. M. 7 2019 Some competition models for size-structured populations. Zbl 0732.92020Cushing, J. M. 7 1990 Strong stability of perturbed systems of Volterra integral equations. Zbl 0284.45015Cushing, J. M. 7 1974 A bifurcation analysis of stage-structured density dependent integrodifference equations. Zbl 1231.92063Robertson, Suzanne L.; Cushing, J. M. 6 2012 The evolutionary dynamics of a population model with a strong Allee effect. Zbl 1369.92091Cushing, Jim M. 6 2015 Evolutionary dynamics of a multi-trait semelparous model. Zbl 1336.92057Veprauskas, Amy; Cushing, J. M. 6 2016 The puzzle of partial migration: adaptive dynamics and evolutionary game theory perspectives. Zbl 1368.92139De Leenheer, Patrick; Mohapatra, Anushaya; Ohms, Haley A.; Lytle, David A.; Cushing, J. M. 6 2017 Nontrivial periodic solutions of some Volterra integral equations. Zbl 0416.45001Cushing, J. M. 6 1979 Some existence theorems for non-linear eigenvalue problems associated with elliptic equations. Zbl 0217.13302Cushing, J. M. 6 1971 Nonlinear Steklov problems on the unit circle. Zbl 0242.35034Cushing, J. M. 6 1972 Stability of perturbed Volterra integral equations. Zbl 0301.45015Cushing, J. M. 6 1975 A dynamic dichotomy for a system of hierarchical difference equations. Zbl 1237.39013Cushing, J. M. 5 2012 Stability conditions for equilibria on nonlinear matrix population models. Zbl 0920.92022Zhou, Yicang; Cushing, J. M. 5 1998 Bifurcation of periodic solutions of nonlinear equations in age- structured population dynamics. Zbl 0515.92018Cushing, J. M. 5 1982 A discrete model for competing stage-structured species. Zbl 0747.92021Cushing, J. M. 5 1992 A bifurcation theorem for evolutionary matrix models with multiple traits. Zbl 1403.92240Cushing, J. M.; Martins, F.; Pinto, A. A.; Veprauskas, Amy 5 2017 On strong stability for linear integral equations. Zbl 0272.45006Bownds, J. M.; Cushing, J. M. 5 1973 Equilibria in systems of interacting structured populations. Zbl 0635.92014Cushing, J. M. 5 1987 Spatial segregation in stage-structured populations with an application to Tribolium. Zbl 1225.92049Robertson, Suzanne L.; Cushing, J. M. 4 2011 Socially induced ovulation synchrony and its effect on seabird population dynamics. Zbl 1225.92004Henson, Shandelle M.; Cushing, J. M.; Hayward, James L. 4 2011 Darwinian dynamics of a juvenile-adult model. Zbl 1273.92046Cushing, J. M.; Stump, Simon Maccracken 4 2013 Predator prey interactions with time delays. Zbl 0342.92012Cushing, J. M. 4 1976 Dynamics of hierarchical models in discrete-time. Zbl 1060.92048Jang, S. R. J.; Cushing, J. M. 4 2005 Bifurcation of asymptotically periodic solutions of Volterra integral equations. Zbl 0465.45003Cushing, J. M.; Simmes, S. D. 4 1980 Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations. Zbl 1454.92024Cushing, J. M. 4 2014 Bifurcation of periodic oscillations due to delays in single species growth models. Zbl 0389.92018Cushing, J. M. 4 1978 Local uniqueness for harmonic functions under nonlinear boundary conditions. Zbl 0206.11701Cushing, J. M. 4 1970 Nonlinear Steklov problems on the unit circle. II (and a Hydrodynamical application). Zbl 0242.35035Cushing, J. M. 4 1972 Some discrete competition models and the principle of competitive exclusion. Zbl 1091.92047Cushing, J. M.; LeVarge, Sheree 3 2005 Errata: Periodic solutions of Volterra’s population equation with hereditary effects. Zbl 0354.92034Cushing, J. M. 3 1977 The LPA model. Zbl 1067.39001Cushing, J. M. 3 2004 Periodic cycles of nonlinear discrete renewal equations. Zbl 0856.39007Cushing, J. M. 3 1996 An evolutionary Beverton-Holt model. Zbl 1317.92062Cushing, J. M. 3 2014 Stability and instability in predator-prey models with growth rate response delays. Zbl 0423.92033Cushing, J. M. 3 1979 A Darwinian dynamic model for the evolution of post-reproduction survival. Zbl 1469.92080Cushing, J. M.; Stefanko, Kathryn 1 2021 A bifurcation theorem for nonlinear matrix models of population dynamics. Zbl 1437.39003Cushing, J. M.; Farrell, Alex P. 1 2020 Difference equations as models of evolutionary population dynamics. Zbl 1447.92333Cushing, J. M. 7 2019 Periodic matrix models for seasonal dynamics of structured populations with application to a seabird population. Zbl 1404.92147Cushing, J. M.; Henson, Shandelle M. 2 2018 The puzzle of partial migration: adaptive dynamics and evolutionary game theory perspectives. Zbl 1368.92139De Leenheer, Patrick; Mohapatra, Anushaya; Ohms, Haley A.; Lytle, David A.; Cushing, J. M. 6 2017 A bifurcation theorem for evolutionary matrix models with multiple traits. Zbl 1403.92240Cushing, J. M.; Martins, F.; Pinto, A. A.; Veprauskas, Amy 5 2017 A juvenile-adult population model: climate change, cannibalism, reproductive synchrony, and strong Allee effects. Zbl 1447.92373Veprauskas, Amy; Cushing, J. M. 2 2017 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400Cushing, J. M.; Diekmann, Odo 23 2016 Evolutionary dynamics of a multi-trait semelparous model. Zbl 1336.92057Veprauskas, Amy; Cushing, J. M. 6 2016 Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. Zbl 1361.92003 2 2016 A global bifurcation theorem for Darwinian matrix models. Zbl 1471.37079Meissen, Emily P.; Salau, Kehinde R.; Cushing, Jim M. 2 2016 Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Zbl 1357.39001 1 2016 One dimensional maps as population and evolutionary dynamic models. Zbl 1367.92096Cushing, Jim M. 1 2016 The evolutionary dynamics of a population model with a strong Allee effect. Zbl 1369.92091Cushing, Jim M. 6 2015 Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations. Zbl 1454.92024Cushing, J. M. 4 2014 An evolutionary Beverton-Holt model. Zbl 1317.92062Cushing, J. M. 3 2014 Theory and applications of difference equations and discrete dynamical systems. Proceedings of the 19th international conference on difference equations and applications, ICDEA, Muscat, Oman, May 26–30, 2013. Zbl 1297.39001 1 2014 Darwinian dynamics of a juvenile-adult model. Zbl 1273.92046Cushing, J. M.; Stump, Simon Maccracken 4 2013 A bifurcation analysis of stage-structured density dependent integrodifference equations. Zbl 1231.92063Robertson, Suzanne L.; Cushing, J. M. 6 2012 A dynamic dichotomy for a system of hierarchical difference equations. Zbl 1237.39013Cushing, J. M. 5 2012 A net reproductive number for periodic matrix models. Zbl 1447.92334Cushing, J. M.; Ackleh, A. S. 2 2012 Evolutionary dynamics and strong Allee effects. Zbl 1447.92276Cushing, J. M.; Hudson, Jarred T. 2 2012 Life stages: interactions and spatial patterns. Zbl 1238.92048Robertson, Suzanne L.; Cushing, J. M.; Costantino, R. F. 1 2012 Stable bifurcations in semelparous Leslie models. Zbl 1447.92335Cushing, J. M.; Henson, Shandelle M. 1 2012 On the relationship between \(r\) and \(R_0\) and its role in the bifurcation of stable equilibria of Darwinian matrix models. Zbl 1403.92239Cushing, J. M. 11 2011 Spatial segregation in stage-structured populations with an application to Tribolium. Zbl 1225.92049Robertson, Suzanne L.; Cushing, J. M. 4 2011 Socially induced ovulation synchrony and its effect on seabird population dynamics. Zbl 1225.92004Henson, Shandelle M.; Cushing, J. M.; Hayward, James L. 4 2011 Competitive outcomes changed by evolution. Zbl 1403.92264Rael, R. C.; Vincent, T. L.; Cushing, J. M. 2 2011 A bifurcation theorem for Darwinian matrix models. Zbl 1192.92033Cushing, J. M. 9 2010 Three stage semelparous Leslie models. Zbl 1204.92054Cushing, J. M. 18 2009 Matrix models and population dynamics. Zbl 1352.92119Cushing, J. M. 9 2009 Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025Chitnis, Nakul; Hyman, James M.; Cushing, Jim M. 296 2008 Multiple mixed-type attractors in a competition model. Zbl 1284.92108Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C. 29 2007 Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing 7 2007 Evolution of corn oil sensitivity in the flour beetle. Zbl 1153.91344Rael, R. C.; Vincent, T. L.; Costantino, R. F.; Cushing, J. M. 2 2007 Modeling territory attendance and preening behavior in a seabird colony as functions of environmental conditions. Zbl 1141.92340Henson, Shandelle M.; Galusha, Joseph G.; Hayward, James L.; Cushing, J. M. 2 2007 Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001 1 2007 Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047Chitnis, Nakul; Cushing, J. M.; Hyman, J. M. 131 2006 A juvenile-adult model with periodic vital rates. Zbl 1112.92052Cushing, J. M. 19 2006 Nonlinear semelparous Leslie models. Zbl 1089.92040Cushing, J. M. 17 2006 Dynamics of hierarchical models in discrete-time. Zbl 1060.92048Jang, S. R. J.; Cushing, J. M. 4 2005 Some discrete competition models and the principle of competitive exclusion. Zbl 1091.92047Cushing, J. M.; LeVarge, Sheree 3 2005 American Mathematical Society (AMS) special session on difference equations and discrete dynamics, Phoenix, AZ, USA, January 2004. Zbl 1073.39500 1 2005 Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M. 86 2004 The LPA model. Zbl 1067.39001Cushing, J. M. 3 2004 Cycle chains and the LPA model. Zbl 1060.39012Cushing, J. M. 12 2003 A discrete hierarchical model of intra-specific competition. Zbl 1019.92034Jang, S. R.-J.; Cushing, J. M. 7 2003 Predicting irregularities in population cycles. Zbl 1088.39503Henson, Shandelle M.; Reilly, James R.; Robertson, Suzanne L.; Schu, Matthew C.; Rozier, Eric W. D.; Cushing, J. M. 1 2003 A periodically forced Beverton-Holt equation. Zbl 1023.39013Cushing, J. M.; Henson, Shandelle M. 65 2002 Geometric transient solutions of autonomous scalar maps. Zbl 1008.39009Henson, Shandelle M.; Cushing, J. M. 1 2002 Global dynamics of some periodically forced, monotone difference equations. Zbl 1002.39003Cushing, J. M.; Henson, Shandelle M. 63 2001 A chaotic attractor in ecology: Theory and experimental data. Zbl 0976.92022Cushing, J. M.; Henson, Shandelle M.; Desharnais, Robert A.; Dennis, Brian; Costantino, R. F.; King, Aaron 18 2001 Multiple attractors, saddles, and population dynamics in periodic habitats. Zbl 1323.92169Henson, Shandelle M.; Costantino, R. F.; Cushing, J. M.; Dennis, Brian; Desharnais, Robert A. 21 1999 Global stability of some matrix equations in population dynamics. Zbl 0941.39005Cushing, J. M. 1 1999 Epidemiology, cellular automata, and evolution. Part 1: Selected papers of the proceedings of the conference on deterministic and stochastic modelling of biological interaction (DESTOBIO ’97). Sofia, Bulgaria, August 28–31, 1997. Zbl 0932.00079 1 1999 An introduction to structured population dynamics. Zbl 0939.92026Cushing, J. M. 212 1998 Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M. 39 1998 Periodically forced nonlinear systems of difference equations. Zbl 0905.39003Cushing, J. M. 25 1998 Stability conditions for equilibria on nonlinear matrix population models. Zbl 0920.92022Zhou, Yicang; Cushing, J. M. 5 1998 Chaotic dynamics in an insect population. Zbl 1225.37103Costantino, R. F.; Desharnais, R. A.; Cushing, J. M.; Dennis, B. 69 1997 The effect of periodic habitat fluctuations on a nonlinear insect population model. Zbl 0890.92023Henson, Shandelle M.; Cushing, J. M. 46 1997 Hierarchical models of intra-specific competition: Scramble versus contest. Zbl 0878.92031Henson, Shandelle M.; Cushing, J. M. 20 1996 Global stability in a nonlinear difference-delay equation model of flour beetle population growth. Zbl 0862.39005Kuang, Yang; Cushing, J. M. 19 1996 Periodic cycles of nonlinear discrete renewal equations. Zbl 0856.39007Cushing, J. M. 3 1996 Optimal parasitization in a size-structured host-parasitoid model. Zbl 0894.92028Henson, Shandelle M.; Cushing, J. M. 2 1996 Oscillations caused by cannibalism in a size-structured population model. Zbl 0838.92027Cushing, J. M.; Li, Jia 10 1995 Systems of difference equations and structured population dynamics. Zbl 0860.39003Cushing, J. M. 1 1995 The dynamics of hierarchical age-structured populations. Zbl 0823.92018Cushing, J. M. 46 1994 Oscillations in age-structured population models with an Allee effect. Zbl 0808.92022Cushing, J. M. 13 1994 Structured population dynamics. Zbl 0925.92105Cushing, J. M. 2 1994 A size-structured model for cannibalism. Zbl 0768.92020Cushing, J. M. 20 1992 Intra-specific competition and density dependent juvenile growth. Zbl 0745.92022Cushing, J. M.; Li, Jia 15 1992 A discrete model for competing stage-structured species. Zbl 0747.92021Cushing, J. M. 5 1992 A simple model of cannibalism. Zbl 0738.92015Cushing, J. M. 32 1991 Juvenile versus adult competition. Zbl 0727.92022Cushing, J. M.; Li, Jia 16 1991 Some delay models for juvenile vs. adult competition. Zbl 0743.92025Cushing, J. M. 2 1991 Competing size-structured species. Zbl 0755.92021Cushing, J. M. 2 1991 Some competition models for size-structured populations. Zbl 0732.92020Cushing, J. M. 7 1990 On Ebenman’s model for the dynamics of a population with competing juveniles and adults. Zbl 0688.92012Cushing, J. M.; Li, Jia 22 1989 A competition model for size-structured species. Zbl 0684.92020Cushing, J. M. 17 1989 A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Zbl 0850.92064Cushing, J. M. 16 1989 Nonlinear matrix models and population dynamics. Zbl 0850.92069Cushing, J. M. 32 1988 The Allee effect in age-structured population dynamics. Zbl 0679.92019Cushing, J. M. 19 1988 Equilibria in systems of interacting structured populations. Zbl 0635.92014Cushing, J. M. 5 1987 Periodic Lotka-Volterra competition equations. Zbl 0608.92019Cushing, J. M. 29 1986 Oscillatory population growth in periodic environments. Zbl 0599.92021Cushing, J. M. 18 1986 Periodic McKendrick equations for age-structured population growth. Zbl 0598.92013Cushing, J. M. 9 1986 Equilibria in structured populations. Zbl 0591.92018Cushing, J. M. 19 1985 Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth. Zbl 0578.92020Cushing, J. M. 12 1985 Existence and stability of equilibria in age-structured population dynamics. Zbl 0553.92014Cushing, J. M. 29 1984 Periodic two-predator, one-prey interactions and the time sharing of a resource niche. Zbl 0554.92016Cushing, J. M. 23 1984 A competition model with age structure. Zbl 0535.92023Cushing, J. M.; Saleem, M. 2 1984 Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics. Zbl 0533.92014Cushing, J. M. 16 1983 Periodic Lotka-Volterra systems and time sharing of ecological niches. Zbl 0529.92024Cushing, J. M. 2 1983 Competition and age-structure. Zbl 0533.92021Cushing, J. M.; Saleem, M. 1 1983 A predator prey model with age structure. Zbl 0501.92018Cushing, J. M.; Saleem, M. 47 1982 Periodic Kolmogorov systems. Zbl 0506.34039Cushing, J. M. 31 1982 Bifurcation of periodic solutions of nonlinear equations in age- structured population dynamics. Zbl 0515.92018Cushing, J. M. 5 1982 Stability and maturation periods in age structured populations. Zbl 0484.92022Cushing, J. M. 13 1981 Two species competition in a periodic environment. Zbl 0455.92012Cushing, J. M. 82 1980 ...and 40 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,521 Authors 79 Cushing, Jim M. 40 Chen, Lansun 26 Yakubu, Abdul-Aziz 23 Jang, Sophia R.-J. 22 Ackleh, Azmy S. 21 Ruan, Shigui 20 Henson, Shandelle Marie 19 Elaydi, Saber Nasr 19 Kulenović, Mustafa R. S. 19 Xu, Rui 17 Kar, Tapan Kumar 14 Franke, John E. 14 Liu, Zhihua 14 Zhao, Xiao-Qiang 13 Diekmann, Odo 12 Chattopadhyay, Joydev 12 Li, Jia 12 Tchuenche, Jean Michel 12 Yuan, Sanling 11 Brunner, Hermann 11 Gumel, Abba B. 11 Kang, Yun 11 Kengne, Jacques 11 Ladas, Gerasimos E. 11 Magal, Pierre 11 Samanta, Sudip K. 11 van den Driessche, Pauline 10 Alsharawi, Ziyad 10 Chaplain, Mark A. J. 10 Gopalsamy, Kondalsamy 10 Hyman, James M. 10 Papaschinopoulos, Garyfalos 10 Sacker, Robert J. 10 Smith, Hal Leslie 10 Thieme, Horst R. 10 Wang, Fengyan 10 Xia, Yonghui 9 Camouzis, Elias 9 Chow, Yunshyong 9 Farkas, József Zoltán 9 Guiver, Chris 9 He, Zerong 9 Kumar Upadhyay, Ranjit 9 Nyabadza, Farai 9 Song, Xinyu 9 Teng, Zhi-dong 9 Wang, Wendi 8 Allen, Linda J. S. 8 Bowong, Samuel 8 Chitnis, Nakul 8 Davidson, Fordyce A. 8 Gourley, Stephen A. 8 Gyllenberg, Mats 8 Huo, Hai-Feng 8 Li, Xuezhi 8 Mohammed-Awel, Jemal 8 Selgrade, James F. 8 Tang, Sanyi 8 Teboh-Ewungkem, Miranda I. 8 Townley, Stuart B. 8 Veprauskas, Amy 7 Calsina, Àngel 7 Cao, Jinde 7 Cui, Jingan 7 Dehghan Takht Fooladi, Mehdi 7 Frank, Till Daniel 7 Freedman, Herbert Irving 7 Liu, Zhijun 7 Luboobi, Livingstone Serwadda 7 Makinde, Oluwole Daniel 7 Martcheva, Maia 7 Ngonghala, Calistus N. 7 Pilav, Esmir 7 Pötzsche, Christian 7 Schinas, Christos J 7 Song, Yongli 7 Szidarovszky, Ferenc P. 7 Takeuchi, Yasuhiro 7 Wang, Yuanshi 7 Wikan, Arild 7 Xue, Ling 7 Zhang, Hong 7 Zhang, Jiafang 6 Agusto, Folashade B. 6 Angulo, Oscar 6 Baek, Hunki 6 Beretta, Edoardo 6 Bownds, John M. 6 Cai, Liming 6 Fotsin, Hilaire Bertrand 6 Han, Maoan 6 Jana, Soovoojeet 6 Jiang, Jifa 6 Kalabušić, Senada 6 Kocic, Vlajko Lj. 6 Kon, Ryusuke 6 Kuang, Yang 6 López-Marcos, Juan Carlos 6 Luís, Rafael 6 Manore, Carrie A. ...and 2,421 more Authors all top 5 Cited in 241 Serials 115 Journal of Mathematical Biology 107 Journal of Difference Equations and Applications 100 Journal of Mathematical Analysis and Applications 100 Applied Mathematics and Computation 98 Mathematical Biosciences 94 Journal of Biological Dynamics 80 Chaos, Solitons and Fractals 70 Bulletin of Mathematical Biology 54 Nonlinear Analysis. Real World Applications 47 Journal of Theoretical Biology 44 Theoretical Population Biology 39 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 34 Journal of Differential Equations 33 Discrete and Continuous Dynamical Systems. Series B 31 Mathematical and Computer Modelling 31 Discrete Dynamics in Nature and Society 31 Mathematical Biosciences and Engineering 31 International Journal of Biomathematics 30 Computers & Mathematics with Applications 29 Applied Mathematical Modelling 24 Nonlinear Analysis. Theory, Methods & Applications 22 Journal of Computational and Applied Mathematics 21 Advances in Difference Equations 20 Mathematics and Computers in Simulation 19 Abstract and Applied Analysis 19 Communications in Nonlinear Science and Numerical Simulation 19 Journal of Biological Systems 19 Journal of Applied Mathematics and Computing 18 Nonlinear Dynamics 13 Mathematical Methods in the Applied Sciences 13 International Journal of Mathematics and Mathematical Sciences 13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 13 Physica D 13 Journal of Applied Mathematics 12 SIAM Journal on Applied Mathematics 12 Journal of Dynamics and Differential Equations 12 International Journal of Applied and Computational Mathematics 11 Applicable Analysis 11 Applied Mathematics Letters 10 Rocky Mountain Journal of Mathematics 8 Physics Letters. A 8 Complexity 8 Mathematical Modelling of Natural Phenomena 7 Physica A 7 Acta Mathematicae Applicatae Sinica. English Series 7 Journal of Nonlinear Science 7 Differential Equations and Dynamical Systems 7 Natural Resource Modeling 7 Computational & Mathematical Methods in Medicine 6 Applied Numerical Mathematics 6 Computational and Applied Mathematics 5 Annali di Matematica Pura ed Applicata. Serie Quarta 5 Mathematical Problems in Engineering 5 Advances in Complex Systems 4 Journal of the Franklin Institute 4 Journal of Statistical Physics 4 Mathematics of Computation 4 Computing 4 Numerische Mathematik 4 International Journal of Computer Mathematics 4 Applied Mathematics. Series B (English Edition) 4 Discrete and Continuous Dynamical Systems 4 Mathematical Population Studies 4 Chaos 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 The ANZIAM Journal 4 Boundary Value Problems 4 Journal of Applied Analysis and Computation 3 Bulletin of the Australian Mathematical Society 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 BIT 3 Journal of Optimization Theory and Applications 3 Mathematical Systems Theory 3 Numerical Functional Analysis and Optimization 3 Proceedings of the American Mathematical Society 3 Ricerche di Matematica 3 Systems & Control Letters 3 Stochastic Analysis and Applications 3 Journal of Integral Equations and Applications 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 SIAM Journal on Mathematical Analysis 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Mathematical Chemistry 3 Applied Sciences 3 Qualitative Theory of Dynamical Systems 3 Nonlinear Analysis. Modelling and Control 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 South East Asian Journal of Mathematics and Mathematical Sciences 3 Mediterranean Journal of Mathematics 3 Nonlinear Analysis. Hybrid Systems 3 International Journal of Differential Equations 3 Journal of Applied Nonlinear Dynamics 3 Open Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Artificial Intelligence 2 International Journal of Control 2 International Journal of Systems Science 2 Applied Mathematics and Optimization 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization ...and 141 more Serials all top 5 Cited in 48 Fields 1,500 Biology and other natural sciences (92-XX) 755 Ordinary differential equations (34-XX) 375 Dynamical systems and ergodic theory (37-XX) 276 Difference and functional equations (39-XX) 244 Partial differential equations (35-XX) 160 Integral equations (45-XX) 149 Numerical analysis (65-XX) 92 Systems theory; control (93-XX) 83 Probability theory and stochastic processes (60-XX) 83 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Calculus of variations and optimal control; optimization (49-XX) 67 Operator theory (47-XX) 17 Statistical mechanics, structure of matter (82-XX) 17 Information and communication theory, circuits (94-XX) 16 Statistics (62-XX) 14 Real functions (26-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 9 Computer science (68-XX) 9 Operations research, mathematical programming (90-XX) 6 Mechanics of particles and systems (70-XX) 5 Functional analysis (46-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Fluid mechanics (76-XX) 4 Combinatorics (05-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Abstract harmonic analysis (43-XX) 3 General topology (54-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Algebraic geometry (14-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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