Edit Profile Cushing, Jim M. Compute Distance To: Compute Author ID: cushing.jim-m Published as: Cushing, J.; Cushing, J. M.; Cushing, Jim M. Documents Indexed: 152 Publications since 1969, including 7 Books Reviewing Activity: 91 Reviews all top 5 Co-Authors 85 single-authored 17 Henson, Shandelle M. 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 Saleem, Maryam 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. 1 Ackleh, Azmy S. 1 Agur, S. 1 Allen, Linda J. S. 1 Alsedà i Soler, Lluís 1 Alsharawi, Ziyad 1 Arpin, Sheree L. 1 Blackburn, Chantel C. 1 Cohen, Yosef 1 De Leenheer, Patrick 1 Dunninger, D. 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 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 Saleem, M. Kamran 1 Schu, Matthew C. 1 Schutte, R. 1 Simmes, S. D. 1 Srivastava, Hari Mohan 1 Stump, Simon Maccracken 1 Van Assche, Walter 1 Vincent, Tania L. S. 1 Vincent, Tyrone L. 1 Zhou, Yicang all top 5 Serials 18 Journal of Mathematical Biology 16 Journal of Biological Dynamics 13 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 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 117 Biology and other natural sciences (92-XX) 46 Difference and functional equations (39-XX) 32 Integral equations (45-XX) 30 Ordinary differential equations (34-XX) 19 Partial differential equations (35-XX) 19 Dynamical systems and ergodic theory (37-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 General and overarching topics; collections (00-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 129 Publications have been cited 2,532 times in 1,744 Documents Cited by ▼ Year ▼ Integrodifferential equations and delay models in population dynamics. Zbl 0363.92014Cushing, J. M. 348 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. 201 2008 An introduction to structured population dynamics. Zbl 0939.92026Cushing, J. M. 190 1998 Periodic time-dependent predator-prey systems. Zbl 0348.34031Cushing, J. M. 147 1977 Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047Chitnis, Nakul; Cushing, J. M.; Hyman, J. M. 111 2006 Two species competition in a periodic environment. Zbl 0455.92012Cushing, J. M. 79 1980 Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M. 78 2004 Chaotic dynamics in an insect population. Zbl 1225.37103Costantino, R. F.; Desharnais, R. A.; Cushing, J. M.; Dennis, B. 67 1997 Global dynamics of some periodically forced, monotone difference equations. Zbl 1002.39003Cushing, J. M.; Henson, Shandelle M. 63 2001 A periodically forced Beverton-Holt equation. Zbl 1023.39013Cushing, J. M.; Henson, Shandelle M. 61 2002 Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M. 48 1998 The effect of periodic habitat fluctuations on a nonlinear insect population model. Zbl 0890.92023Henson, Shandelle M.; Cushing, J. M. 44 1997 The dynamics of hierarchical age-structured populations. Zbl 0823.92018Cushing, J. M. 43 1994 A predator prey model with age structure. Zbl 0501.92018Cushing, J. M.; Saleem, M. 41 1982 Nonlinear matrix models and population dynamics. Zbl 0850.92069Cushing, J. M. 31 1988 A simple model of cannibalism. Zbl 0738.92015Cushing, J. M. 30 1991 Periodic Kolmogorov systems. Zbl 0506.34039Cushing, J. M. 30 1982 Multiple mixed-type attractors in a competition model. Zbl 1284.92108Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C. 27 2007 Periodic Lotka-Volterra competition equations. Zbl 0608.92019Cushing, J. M. 27 1986 Periodically forced nonlinear systems of difference equations. Zbl 0905.39003Cushing, J. M. 25 1998 Existence and stability of equilibria in age-structured population dynamics. Zbl 0553.92014Cushing, J. M. 25 1984 Periodic two-predator, one-prey interactions and the time sharing of a resource niche. Zbl 0554.92016Cushing, J. M. 23 1984 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 22 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 On Ebenman’s model for the dynamics of a population with competing juveniles and adults. Zbl 0688.92012Cushing, J. M.; Li, Jia 21 1989 A size-structured model for cannibalism. Zbl 0768.92020Cushing, J. M. 19 1992 Forced asymptotically periodic solutions of predator-prey systems with or without hereditary effects. Zbl 0331.93078Cushing, J. M. 19 1976 A juvenile-adult model with periodic vital rates. Zbl 1112.92052Cushing, J. M. 18 2006 Hierarchical models of intra-specific competition: Scramble versus contest. Zbl 0878.92031Henson, Shandelle M.; Cushing, J. M. 18 1996 Global stability in a nonlinear difference-delay equation model of flour beetle population growth. Zbl 0862.39005Kuang, Yang; Cushing, J. M. 18 1996 The Allee effect in age-structured population dynamics. Zbl 0679.92019Cushing, J. M. 18 1988 Three stage semelparous Leslie models. Zbl 1204.92054Cushing, J. M. 17 2009 Oscillatory population growth in periodic environments. Zbl 0599.92021Cushing, J. M. 17 1986 Equilibria in structured populations. Zbl 0591.92018Cushing, J. M. 17 1985 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400Cushing, J. M.; Diekmann, Odo 16 2016 Juvenile versus adult competition. Zbl 0727.92022Cushing, J. M.; Li, Jia 16 1991 Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics. Zbl 0533.92014Cushing, J. M. 16 1983 Some stability theorems for systems of Volterra integral equations. Zbl 0324.45013Bownds, J. M.; Cushing, J. M. 16 1975 Intra-specific competition and density dependent juvenile growth. Zbl 0745.92022Cushing, J. M.; Li, Jia 15 1992 A competition model for size-structured species. Zbl 0684.92020Cushing, J. M. 15 1989 Bifurcation of periodic solutions of integrodifferential systems with applications to time delay models in population dynamics. Zbl 0381.45008Cushing, J. M. 15 1977 Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences. Zbl 0367.34032Cushing, J. M. 15 1977 Nonlinear semelparous Leslie models. Zbl 1089.92040Cushing, J. M. 14 2006 Periodic solutions of two species interaction models with lags. Zbl 0335.92018Cushing, J. M. 14 1976 An operator equation and bounded solutions of integro-differential systems. Zbl 0301.45010Cushing, J. M. 14 1975 Some stability criteria for linear systems of Volterra integral equations. Zbl 0251.45019Bownds, J. M.; Cushing, J. M. 14 1972 Oscillations in age-structured population models with an Allee effect. Zbl 0808.92022Cushing, J. M. 13 1994 Stability and maturation periods in age structured populations. Zbl 0484.92022Cushing, J. M. 13 1981 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 On the behavior of solutions of predator-prey equations with hereditary terms. Zbl 0333.92015Bownds, J. M.; Cushing, J. M. 13 1975 Cycle chains and the LPA model. Zbl 1060.39012Cushing, J. M. 12 2003 A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Zbl 0850.92064Cushing, J. M. 12 1989 Stable limit cycles of time dependent multispecies interactions. Zbl 0341.92011Cushing, J. M. 12 1976 Periodic solutions of Volterra’s population equation with hereditary effects. Zbl 0334.92026Cushing, J. M. 12 1976 Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth. Zbl 0578.92020Cushing, J. M. 11 1985 On preserving stability of Volterra integral equations under a general class of perturbations. Zbl 0316.45029Bownds, J. M.; Cushing, J. M. 10 1975 Matrix models and population dynamics. Zbl 1352.92119Cushing, J. M. 9 2009 Periodic McKendrick equations for age-structured population growth. Zbl 0598.92013Cushing, J. M. 9 1986 Nontrivial periodic solutions of integrodifferential equations. Zbl 0457.45004Cushing, J. M. 9 1979 A representation formula for linear Volterra integral equations. Zbl 0256.45003Bownds, J. M.; Cushing, J. M. 9 1973 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. 8 2011 A bifurcation theorem for Darwinian matrix models. Zbl 1192.92033Cushing, J. M. 7 2010 Oscillations caused by cannibalism in a size-structured population model. Zbl 0838.92027Cushing, J. M.; Li, Jia 7 1995 Some competition models for size-structured populations. Zbl 0732.92020Cushing, J. M. 7 1990 Nontrivial periodic solutions of some Volterra integral equations. Zbl 0416.45001Cushing, J. M. 7 1979 Strong stability of perturbed systems of Volterra integral equations. Zbl 0284.45015Cushing, J. M. 7 1974 Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing 6 2007 Time delays in single species growth models. Zbl 0356.92019Cushing, J. M. 6 1977 Stability of perturbed Volterra integral equations. Zbl 0301.45015Cushing, J. M. 6 1975 Nonlinear Steklov problems on the unit circle. Zbl 0242.35034Cushing, J. M. 6 1972 Some existence theorems for non-linear eigenvalue problems associated with elliptic equations. Zbl 0217.13302Cushing, J. M. 6 1971 Evolutionary dynamics of a multi-trait semelparous model. Zbl 1336.92057Veprauskas, Amy; Cushing, J. M. 5 2016 A dynamic dichotomy for a system of hierarchical difference equations. Zbl 1237.39013Cushing, J. M. 5 2012 A bifurcation analysis of stage-structured density dependent integrodifference equations. Zbl 1231.92063Robertson, Suzanne L.; Cushing, 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 Predator prey interactions with time delays. Zbl 0342.92012Cushing, J. M. 5 1976 On strong stability for linear integral equations. Zbl 0272.45006Bownds, J. M.; Cushing, J. M. 5 1973 The evolutionary dynamics of a population model with a strong Allee effect. Zbl 1369.92091Cushing, Jim M. 4 2015 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 1297.39001AlSharawi, Ziyad (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.) 4 2014 Socially induced ovulation synchrony and its effect on seabird population dynamics. Zbl 1225.92004Henson, Shandelle M.; Cushing, J. M.; Hayward, James L. 4 2011 Spatial segregation in stage-structured populations with an application to Tribolium. Zbl 1225.92049Robertson, Suzanne L.; Cushing, J. M. 4 2011 Dynamics of hierarchical models in discrete-time. Zbl 1060.92048Jang, S. R. J.; Cushing, J. M. 4 2005 A discrete hierarchical model of intra-specific competition. Zbl 1019.92034Jang, S. R.-J.; Cushing, J. M. 4 2003 A discrete model for competing stage-structured species. Zbl 0747.92021Cushing, J. M. 4 1992 Equilibria in systems of interacting structured populations. Zbl 0635.92014Cushing, J. M. 4 1987 Bifurcation of asymptotically periodic solutions of Volterra integral equations. Zbl 0465.45003Cushing, J. M.; Simmes, S. D. 4 1980 Bifurcation of periodic oscillations due to delays in single species growth models. Zbl 0389.92018Cushing, J. M. 4 1978 Bounded solutions of perturbed Volterra integrodifferential systems. Zbl 0321.45018Cushing, J. M. 4 1976 Local uniqueness for harmonic functions under nonlinear boundary conditions. Zbl 0206.11701Cushing, J. M. 4 1970 A bifurcation theorem for evolutionary matrix models with multiple traits. Zbl 1403.92240Cushing, J. M.; Martins, F.; Pinto, A. A.; Veprauskas, Amy 3 2017 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. 3 2017 Darwinian dynamics of a juvenile-adult model. Zbl 1273.92046Cushing, J. M.; Stump, Simon Maccracken 3 2013 Competitive outcomes changed by evolution. Zbl 1403.92264Rael, R. C.; Vincent, T. L.; Cushing, J. M. 3 2011 Some discrete competition models and the principle of competitive exclusion. Zbl 1091.92047Cushing, J. M.; LeVarge, Sheree 3 2005 The LPA model. Zbl 1067.39001Cushing, J. M. 3 2004 Periodic cycles of nonlinear discrete renewal equations. Zbl 0856.39007Cushing, J. M. 3 1996 Periodic Lotka-Volterra systems and time sharing of ecological niches. Zbl 0529.92024Cushing, J. M. 3 1983 Stability and instability in predator-prey models with growth rate response delays. Zbl 0423.92033Cushing, J. M. 3 1979 Errata: Periodic solutions of Volterra’s population equation with hereditary effects. Zbl 0354.92034Cushing, J. M. 3 1977 Periodic matrix models for seasonal dynamics of structured populations with application to a seabird population. Zbl 1404.92147Cushing, J. M.; Henson, Shandelle M. 1 2018 A bifurcation theorem for evolutionary matrix models with multiple traits. Zbl 1403.92240Cushing, J. M.; Martins, F.; Pinto, A. A.; Veprauskas, Amy 3 2017 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. 3 2017 The many guises of \(R_0\) (a didactic note). Zbl 1343.92400Cushing, J. M.; Diekmann, Odo 16 2016 Evolutionary dynamics of a multi-trait semelparous model. Zbl 1336.92057Veprauskas, Amy; Cushing, J. M. 5 2016 One dimensional maps as population and evolutionary dynamic models. Zbl 1367.92096Cushing, Jim M. 1 2016 Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. Zbl 1361.92003Cushing, Jim M. (ed.); Saleem, M. (ed.); Srivastava, H. M. (ed.); Khan, Mumtaz Ahmad (ed.); Merajuddin, M. (ed.) 1 2016 Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Zbl 1357.39001Alsedà i Soler, Lluís (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.); Pinto, Alberto A. (ed.) 1 2016 The evolutionary dynamics of a population model with a strong Allee effect. Zbl 1369.92091Cushing, Jim M. 4 2015 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 1297.39001AlSharawi, Ziyad (ed.); Cushing, Jim M. (ed.); Elaydi, Saber (ed.) 4 2014 An evolutionary Beverton-Holt model. Zbl 1317.92062Cushing, J. M. 2 2014 Darwinian dynamics of a juvenile-adult model. Zbl 1273.92046Cushing, J. M.; Stump, Simon Maccracken 3 2013 A dynamic dichotomy for a system of hierarchical difference equations. Zbl 1237.39013Cushing, J. M. 5 2012 A bifurcation analysis of stage-structured density dependent integrodifference equations. Zbl 1231.92063Robertson, Suzanne L.; Cushing, J. M. 5 2012 Evolutionary dynamics and strong Allee effects. Zbl 1447.92276Cushing, J. M.; Hudson, Jarred T. 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. 8 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 Spatial segregation in stage-structured populations with an application to Tribolium. Zbl 1225.92049Robertson, Suzanne L.; Cushing, J. M. 4 2011 Competitive outcomes changed by evolution. Zbl 1403.92264Rael, R. C.; Vincent, T. L.; Cushing, J. M. 3 2011 A bifurcation theorem for Darwinian matrix models. Zbl 1192.92033Cushing, J. M. 7 2010 Three stage semelparous Leslie models. Zbl 1204.92054Cushing, J. M. 17 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. 201 2008 Multiple mixed-type attractors in a competition model. Zbl 1284.92108Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C. 27 2007 Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing 6 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 Evolution of corn oil sensitivity in the flour beetle. Zbl 1153.91344Rael, R. C.; Vincent, T. L.; Costantino, R. F.; Cushing, J. M. 1 2007 Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001Elaydi, S. (ed.); Cushing, J. (ed.); Lasser, R. (ed.); Ruffing, A. (ed.); Papageorgiou, V. (ed.); Van Assche, W. (ed.) 1 2007 Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047Chitnis, Nakul; Cushing, J. M.; Hyman, J. M. 111 2006 A juvenile-adult model with periodic vital rates. Zbl 1112.92052Cushing, J. M. 18 2006 Nonlinear semelparous Leslie models. Zbl 1089.92040Cushing, J. M. 14 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 Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M. 78 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. 4 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. 61 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 22 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 0932.00079Agur, S. (ed.); Cushing, J. (ed.); Diekmann, O. (ed.); Gyllenberg, M. (ed.); Heesterbeek, H. (ed.); Jagers, P. (ed.); Kimmel, M. (ed.); Kostova, T. V. (ed.); Milner, F. (ed.) 1 1999 An introduction to structured population dynamics. Zbl 0939.92026Cushing, J. M. 190 1998 Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M. 48 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. 67 1997 The effect of periodic habitat fluctuations on a nonlinear insect population model. Zbl 0890.92023Henson, Shandelle M.; Cushing, J. M. 44 1997 Hierarchical models of intra-specific competition: Scramble versus contest. Zbl 0878.92031Henson, Shandelle M.; Cushing, J. M. 18 1996 Global stability in a nonlinear difference-delay equation model of flour beetle population growth. Zbl 0862.39005Kuang, Yang; Cushing, J. M. 18 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 7 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. 43 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. 1 1994 A size-structured model for cannibalism. Zbl 0768.92020Cushing, J. M. 19 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. 4 1992 A simple model of cannibalism. Zbl 0738.92015Cushing, J. M. 30 1991 Juvenile versus adult competition. Zbl 0727.92022Cushing, J. M.; Li, Jia 16 1991 Competing size-structured species. Zbl 0755.92021Cushing, J. M. 2 1991 Some delay models for juvenile vs. adult competition. Zbl 0743.92025Cushing, 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 21 1989 A competition model for size-structured species. Zbl 0684.92020Cushing, J. M. 15 1989 A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Zbl 0850.92064Cushing, J. M. 12 1989 Nonlinear matrix models and population dynamics. Zbl 0850.92069Cushing, J. M. 31 1988 The Allee effect in age-structured population dynamics. Zbl 0679.92019Cushing, J. M. 18 1988 Equilibria in systems of interacting structured populations. Zbl 0635.92014Cushing, J. M. 4 1987 Periodic Lotka-Volterra competition equations. Zbl 0608.92019Cushing, J. M. 27 1986 Oscillatory population growth in periodic environments. Zbl 0599.92021Cushing, J. M. 17 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. 17 1985 Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth. Zbl 0578.92020Cushing, J. M. 11 1985 Existence and stability of equilibria in age-structured population dynamics. Zbl 0553.92014Cushing, J. M. 25 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. 3 1983 A predator prey model with age structure. Zbl 0501.92018Cushing, J. M.; Saleem, M. 41 1982 Periodic Kolmogorov systems. Zbl 0506.34039Cushing, J. M. 30 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. 79 1980 Bifurcation of asymptotically periodic solutions of Volterra integral equations. Zbl 0465.45003Cushing, J. M.; Simmes, S. D. 4 1980 Nontrivial periodic solutions of integrodifferential equations. Zbl 0457.45004Cushing, J. M. 9 1979 Nontrivial periodic solutions of some Volterra integral equations. Zbl 0416.45001Cushing, J. M. 7 1979 Stability and instability in predator-prey models with growth rate response delays. Zbl 0423.92033Cushing, J. M. 3 1979 Bifurcation of periodic oscillations due to delays in single species growth models. Zbl 0389.92018Cushing, J. M. 4 1978 Integrodifferential equations and delay models in population dynamics. Zbl 0363.92014Cushing, J. M. 348 1977 Periodic time-dependent predator-prey systems. Zbl 0348.34031Cushing, J. M. 147 1977 Bifurcation of periodic solutions of integrodifferential systems with applications to time delay models in population dynamics. Zbl 0381.45008Cushing, J. M. 15 1977 Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences. Zbl 0367.34032Cushing, J. M. 15 1977 Time delays in single species growth models. Zbl 0356.92019Cushing, J. M. 6 1977 Errata: Periodic solutions of Volterra’s population equation with hereditary effects. Zbl 0354.92034Cushing, J. M. 3 1977 ...and 29 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,287 Authors 75 Cushing, Jim M. 41 Chen, Lansun 25 Yakubu, Abdul-Aziz 21 Ackleh, Azmy S. 21 Jang, Sophia R.-J. 20 Henson, Shandelle M. 20 Xu, Rui 19 Elaydi, Saber Nasr 19 Kulenović, Mustafa R. S. 18 Ruan, Shigui 14 Franke, John E. 14 Kar, Tapan Kumar 14 Zhao, Xiao-Qiang 13 Diekmann, Odo 13 Gumel, Abba B. 12 Chattopadhyay, Joydev 12 Li, Jia 12 Liu, Zhihua 11 Brunner, Hermann 11 Chaplain, Mark A. J. 11 Farkas, József Zoltán 11 Kang, Yun 11 Ladas, Gerasimos E. 11 Magal, Pierre 11 Samanta, Sudip K. 11 Tchuenche, Jean Michel 11 van den Driessche, Pauline 10 Alsharawi, Ziyad 10 Gopalsamy, Kondalsamy 10 Papaschinopoulos, Garyfalos 10 Sacker, Robert J. 10 Smith, Hal Leslie 10 Song, Xinyu 10 Wang, Fengyan 10 Xia, Yonghui 10 Yuan, Sanling 9 Camouzis, Elias 9 Huo, Hai-Feng 9 Hyman, James M. 9 Kengne, Jacques 9 Tang, Sanyi 9 Wang, Wendi 8 Allen, Linda J. S. 8 Angulo, Oscar 8 Bowong, Samuel 8 Chitnis, Nakul 8 Davidson, Fordyce A. 8 Gourley, Stephen A. 8 Guiver, Chris 8 Kumar Upadhyay, Ranjit 8 Li, Xuezhi 8 López-Marcos, Juan Carlos 8 Mohammed-Awel, Jemal 8 Nyabadza, Farai 8 Selgrade, James F. 7 Cao, Jinde 7 Chow, Yunshyong 7 Cui, Jingan 7 Dehghan Takht Fooladi, Mehdi 7 Frank, Till Daniel 7 Freedman, Herbert Irving 7 Gyllenberg, Mats 7 He, Zerong 7 López-marcos, Miguel Ángel 7 Luboobi, Livingstone Serwadda 7 Ngonghala, Calistus N. 7 Schinas, Christos J 7 Song, Yongli 7 Szidarovszky, Ferenc P. 7 Takeuchi, Yasuhiro 7 Teboh-Ewungkem, Miranda I. 7 Thieme, Horst R. 7 Townley, Stuart B. 7 Veprauskas, Amy 7 Wang, Yuanshi 7 Zhang, Jiafang 6 Baek, Hunki 6 Beretta, Edoardo 6 Blayneh, Kbenesh W. 6 Bownds, John M. 6 Calsina, Àngel 6 Gazi, Nurul Huda 6 Han, Maoan 6 Kocic, Vlajko Lj. 6 Kuang, Yang 6 Li, Yongkun 6 Luís, Rafael 6 Manore, Carrie A. 6 Martcheva, Maia 6 Ngwa, Gideon A. 6 Pao, Chia-Ven 6 Pilav, Esmir 6 Pötzsche, Christian 6 Wu, Jianhong 6 Zhang, Hong 5 Agusto, Folashade B. 5 Bhunu, Claver Pedzisai 5 Biswas, Santanu 5 Bravo de la Parra, Rafael 5 Cai, Liming ...and 2,187 more Authors all top 5 Cited in 215 Serials 110 Journal of Mathematical Biology 99 Mathematical Biosciences 99 Journal of Difference Equations and Applications 98 Journal of Mathematical Analysis and Applications 95 Applied Mathematics and Computation 88 Journal of Biological Dynamics 66 Bulletin of Mathematical Biology 63 Chaos, Solitons and Fractals 51 Nonlinear Analysis. 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New Series 2 Journal of Mathematical Sciences (New York) ...and 115 more Serials all top 5 Cited in 47 Fields 1,328 Biology and other natural sciences (92-XX) 669 Ordinary differential equations (34-XX) 337 Dynamical systems and ergodic theory (37-XX) 254 Difference and functional equations (39-XX) 223 Partial differential equations (35-XX) 155 Integral equations (45-XX) 148 Numerical analysis (65-XX) 79 Systems theory; control (93-XX) 68 Probability theory and stochastic processes (60-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 57 Operator theory (47-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 15 Statistics (62-XX) 13 Statistical mechanics, structure of matter (82-XX) 13 Information and communication theory, circuits (94-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 8 Computer science (68-XX) 7 Real functions (26-XX) 7 Operations research, mathematical programming (90-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Functional analysis (46-XX) 5 Mechanics of particles and systems (70-XX) 5 Fluid mechanics (76-XX) 4 General topology (54-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Commutative algebra (13-XX) 2 Algebraic geometry (14-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mechanics of deformable solids (74-XX) 2 Mathematics education (97-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-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) 1 Geophysics (86-XX) Citations by Year