# zbMATH — the first resource for mathematics

## Cushing, Jim M.

Compute Distance To:
 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: IdRef · Google Scholar · MGP · Wikidata · ResearchGate
 Documents Indexed: 155 Publications since 1969, including 7 Books Reviewing Activity: 91 Reviews
all top 5

#### Co-Authors

 87 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 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, 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 16 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

 119 Biology and other natural sciences (92-XX) 48 Difference and functional equations (39-XX) 32 Integral equations (45-XX) 30 Ordinary differential equations (34-XX) 20 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)

#### Citations contained in zbMATH Open

135 Publications have been cited 2,598 times in 1,798 Documents Cited by Year
Integrodifferential equations and delay models in population dynamics. Zbl 0363.92014
Cushing, J. M.
1977
Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025
Chitnis, Nakul; Hyman, James M.; Cushing, Jim M.
2008
An introduction to structured population dynamics. Zbl 0939.92026
Cushing, J. M.
1998
Periodic time-dependent predator-prey systems. Zbl 0348.34031
Cushing, J. M.
1977
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047
Chitnis, Nakul; Cushing, J. M.; Hyman, J. M.
2006
Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005
Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M.
2004
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
1980
Chaotic dynamics in an insect population. Zbl 1225.37103
Costantino, R. F.; Desharnais, R. A.; Cushing, J. M.; Dennis, B.
1997
A periodically forced Beverton-Holt equation. Zbl 1023.39013
Cushing, J. M.; Henson, Shandelle M.
2002
Global dynamics of some periodically forced, monotone difference equations. Zbl 1002.39003
Cushing, J. M.; Henson, Shandelle M.
2001
The effect of periodic habitat fluctuations on a nonlinear insect population model. Zbl 0890.92023
Henson, Shandelle M.; Cushing, J. M.
1997
The dynamics of hierarchical age-structured populations. Zbl 0823.92018
Cushing, J. M.
1994
A predator prey model with age structure. Zbl 0501.92018
Cushing, J. M.; Saleem, M.
1982
Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034
Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M.
1998
Nonlinear matrix models and population dynamics. Zbl 0850.92069
Cushing, J. M.
1988
A simple model of cannibalism. Zbl 0738.92015
Cushing, J. M.
1991
Periodic Kolmogorov systems. Zbl 0506.34039
Cushing, J. M.
1982
Periodic Lotka-Volterra competition equations. Zbl 0608.92019
Cushing, J. M.
1986
Multiple mixed-type attractors in a competition model. Zbl 1284.92108
Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C.
2007
Existence and stability of equilibria in age-structured population dynamics. Zbl 0553.92014
Cushing, J. M.
1984
Periodically forced nonlinear systems of difference equations. Zbl 0905.39003
Cushing, J. M.
1998
Periodic two-predator, one-prey interactions and the time sharing of a resource niche. Zbl 0554.92016
Cushing, J. M.
1984
On Ebenman’s model for the dynamics of a population with competing juveniles and adults. Zbl 0688.92012
Cushing, J. M.; Li, Jia
1989
Multiple attractors, saddles, and population dynamics in periodic habitats. Zbl 1323.92169
Henson, Shandelle M.; Costantino, R. F.; Cushing, J. M.; Dennis, Brian; Desharnais, Robert A.
1999
A size-structured model for cannibalism. Zbl 0768.92020
Cushing, J. M.
1992
Hierarchical models of intra-specific competition: Scramble versus contest. Zbl 0878.92031
Henson, Shandelle M.; Cushing, J. M.
1996
A juvenile-adult model with periodic vital rates. Zbl 1112.92052
Cushing, J. M.
2006
Forced asymptotically periodic solutions of predator-prey systems with or without hereditary effects. Zbl 0331.93078
Cushing, J. M.
1976
Three stage semelparous Leslie models. Zbl 1204.92054
Cushing, J. M.
2009
The Allee effect in age-structured population dynamics. Zbl 0679.92019
Cushing, J. M.
1988
Global stability in a nonlinear difference-delay equation model of flour beetle population growth. Zbl 0862.39005
Kuang, Yang; Cushing, J. M.
1996
A chaotic attractor in ecology: Theory and experimental data. Zbl 0976.92022
Cushing, J. M.; Henson, Shandelle M.; Desharnais, Robert A.; Dennis, Brian; Costantino, R. F.; King, Aaron
2001
Equilibria in structured populations. Zbl 0591.92018
Cushing, J. M.
1985
Oscillatory population growth in periodic environments. Zbl 0599.92021
Cushing, J. M.
1986
The many guises of $$R_0$$ (a didactic note). Zbl 1343.92400
Cushing, J. M.; Diekmann, Odo
2016
Juvenile versus adult competition. Zbl 0727.92022
Cushing, J. M.; Li, Jia
1991
A competition model for size-structured species. Zbl 0684.92020
Cushing, J. M.
1989
Nonlinear semelparous Leslie models. Zbl 1089.92040
Cushing, J. M.
2006
Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics. Zbl 0533.92014
Cushing, J. M.
1983
Intra-specific competition and density dependent juvenile growth. Zbl 0745.92022
Cushing, J. M.; Li, Jia
1992
Stable positive periodic solutions of the time-dependent logistic equation under possible hereditary influences. Zbl 0367.34032
Cushing, J. M.
1977
Bifurcation of periodic solutions of integrodifferential systems with applications to time delay models in population dynamics. Zbl 0381.45008
Cushing, J. M.
1977
Some stability theorems for systems of Volterra integral equations. Zbl 0324.45013
Bownds, J. M.; Cushing, J. M.
1975
A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Zbl 0850.92064
Cushing, J. M.
1989
Some stability criteria for linear systems of Volterra integral equations. Zbl 0251.45019
Bownds, J. M.; Cushing, J. M.
1972
An operator equation and bounded solutions of integro-differential systems. Zbl 0301.45010
Cushing, J. M.
1975
Periodic solutions of two species interaction models with lags. Zbl 0335.92018
Cushing, J. M.
1976
Oscillations in age-structured population models with an Allee effect. Zbl 0808.92022
Cushing, J. M.
1994
On the behavior of solutions of predator-prey equations with hereditary terms. Zbl 0333.92015
Bownds, J. M.; Cushing, J. M.
1975
Existence, uniqueness, and extendibility of solutions of Volterra integral systems with multiple, variable lags. Zbl 0345.45003
Bownds, J. M.; Cushing, J. M.; Schutte, R.
1976
Stability and maturation periods in age structured populations. Zbl 0484.92022
Cushing, J. M.
1981
Cycle chains and the LPA model. Zbl 1060.39012
Cushing, J. M.
2003
Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth. Zbl 0578.92020
Cushing, J. M.
1985
Periodic solutions of Volterra’s population equation with hereditary effects. Zbl 0334.92026
Cushing, J. M.
1976
Stable limit cycles of time dependent multispecies interactions. Zbl 0341.92011
Cushing, J. M.
1976
On the relationship between $$r$$ and $$R_0$$ and its role in the bifurcation of stable equilibria of Darwinian matrix models. Zbl 1403.92239
Cushing, J. M.
2011
A representation formula for linear Volterra integral equations. Zbl 0256.45003
Bownds, J. M.; Cushing, J. M.
1973
Oscillations caused by cannibalism in a size-structured population model. Zbl 0838.92027
Cushing, J. M.; Li, Jia
1995
On preserving stability of Volterra integral equations under a general class of perturbations. Zbl 0316.45029
Bownds, J. M.; Cushing, J. M.
1975
Matrix models and population dynamics. Zbl 1352.92119
Cushing, J. M.
2009
Periodic McKendrick equations for age-structured population growth. Zbl 0598.92013
Cushing, J. M.
1986
Nontrivial periodic solutions of integrodifferential equations. Zbl 0457.45004
Cushing, J. M.
1979
A bifurcation theorem for Darwinian matrix models. Zbl 1192.92033
Cushing, J. M.
2010
Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064
Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing
2007
Some competition models for size-structured populations. Zbl 0732.92020
Cushing, J. M.
1990
Strong stability of perturbed systems of Volterra integral equations. Zbl 0284.45015
Cushing, J. M.
1974
Time delays in single species growth models. Zbl 0356.92019
Cushing, J. M.
1977
Some existence theorems for non-linear eigenvalue problems associated with elliptic equations. Zbl 0217.13302
Cushing, J. M.
1971
Nonlinear Steklov problems on the unit circle. Zbl 0242.35034
Cushing, J. M.
1972
A discrete hierarchical model of intra-specific competition. Zbl 1019.92034
Jang, S. R.-J.; Cushing, J. M.
2003
Nontrivial periodic solutions of some Volterra integral equations. Zbl 0416.45001
Cushing, J. M.
1979
Stability of perturbed Volterra integral equations. Zbl 0301.45015
Cushing, J. M.
1975
A bifurcation analysis of stage-structured density dependent integrodifference equations. Zbl 1231.92063
Robertson, Suzanne L.; Cushing, J. M.
2012
On strong stability for linear integral equations. Zbl 0272.45006
Bownds, J. M.; Cushing, J. M.
1973
Stability conditions for equilibria on nonlinear matrix population models. Zbl 0920.92022
Zhou, Yicang; Cushing, J. M.
1998
Bifurcation of periodic solutions of nonlinear equations in age- structured population dynamics. Zbl 0515.92018
Cushing, J. M.
1982
Evolutionary dynamics of a multi-trait semelparous model. Zbl 1336.92057
Veprauskas, Amy; Cushing, J. M.
2016
The puzzle of partial migration: adaptive dynamics and evolutionary game theory perspectives. Zbl 1368.92139
De Leenheer, Patrick; Mohapatra, Anushaya; Ohms, Haley A.; Lytle, David A.; Cushing, J. M.
2017
A dynamic dichotomy for a system of hierarchical difference equations. Zbl 1237.39013
Cushing, J. M.
2012
Dynamics of hierarchical models in discrete-time. Zbl 1060.92048
Jang, S. R. J.; Cushing, J. M.
2005
Local uniqueness for harmonic functions under nonlinear boundary conditions. Zbl 0206.11701
Cushing, J. M.
1970
Bifurcation of asymptotically periodic solutions of Volterra integral equations. Zbl 0465.45003
Cushing, J. M.; Simmes, S. D.
1980
A discrete model for competing stage-structured species. Zbl 0747.92021
Cushing, J. M.
1992
Bifurcation of periodic oscillations due to delays in single species growth models. Zbl 0389.92018
Cushing, J. M.
1978
Equilibria in systems of interacting structured populations. Zbl 0635.92014
Cushing, J. M.
1987
Predator prey interactions with time delays. Zbl 0342.92012
Cushing, J. M.
1976
The evolutionary dynamics of a population model with a strong Allee effect. Zbl 1369.92091
Cushing, Jim M.
2015
A bifurcation theorem for evolutionary matrix models with multiple traits. Zbl 1403.92240
Cushing, J. M.; Martins, F.; Pinto, A. A.; Veprauskas, Amy
2017
Spatial segregation in stage-structured populations with an application to Tribolium. Zbl 1225.92049
Robertson, Suzanne L.; Cushing, J. M.
2011
Socially induced ovulation synchrony and its effect on seabird population dynamics. Zbl 1225.92004
Henson, Shandelle M.; Cushing, J. M.; Hayward, James L.
2011
Difference equations as models of evolutionary population dynamics. Zbl 1447.92333
Cushing, J. M.
2019
The LPA model. Zbl 1067.39001
Cushing, J. M.
2004
A uniqueness criterion for harmonic functions under nonlinear boundary conditions. Zbl 0207.41602
Cushing, J. M.
1971
Nonlinear Steklov problems on the unit circle. II (and a Hydrodynamical application). Zbl 0242.35035
Cushing, J. M.
1972
Some discrete competition models and the principle of competitive exclusion. Zbl 1091.92047
Cushing, J. M.; LeVarge, Sheree
2005
Periodic cycles of nonlinear discrete renewal equations. Zbl 0856.39007
Cushing, J. M.
1996
On a conjecture of Levi-Civita. Zbl 0197.08503
Cushing, J. M.
1970
Stability and instability in predator-prey models with growth rate response delays. Zbl 0423.92033
Cushing, J. M.
1979
Bounded solutions of perturbed Volterra integrodifferential systems. Zbl 0321.45018
Cushing, J. M.
1976
Errata: Periodic solutions of Volterra’s population equation with hereditary effects. Zbl 0354.92034
Cushing, J. M.
1977
Difference equations as models of evolutionary population dynamics. Zbl 1447.92333
Cushing, J. M.
2019
Periodic matrix models for seasonal dynamics of structured populations with application to a seabird population. Zbl 1404.92147
Cushing, J. M.; Henson, Shandelle M.
2018
The puzzle of partial migration: adaptive dynamics and evolutionary game theory perspectives. Zbl 1368.92139
De Leenheer, Patrick; Mohapatra, Anushaya; Ohms, Haley A.; Lytle, David A.; Cushing, J. M.
2017
A bifurcation theorem for evolutionary matrix models with multiple traits. Zbl 1403.92240
Cushing, J. M.; Martins, F.; Pinto, A. A.; Veprauskas, Amy
2017
The many guises of $$R_0$$ (a didactic note). Zbl 1343.92400
Cushing, J. M.; Diekmann, Odo
2016
Evolutionary dynamics of a multi-trait semelparous model. Zbl 1336.92057
Veprauskas, Amy; Cushing, J. M.
2016
Applied analysis in biological and physical sciences. ICMBAA, Aligarh, India, June 4–6, 2015. Zbl 1361.92003
Cushing, Jim M.; Saleem, M.; Srivastava, H. M.; Khan, Mumtaz Ahmad; Merajuddin, M.
2016
One dimensional maps as population and evolutionary dynamic models. Zbl 1367.92096
Cushing, Jim M.
2016
Difference equations, discrete dynamical systems and applications, ICDEA, Barcelona, Spain, July 23–27, 2012. Proceedings of the 18th international conference. Zbl 1357.39001
Alsedà i Soler, Lluís; Cushing, Jim M.; Elaydi, Saber; Pinto, Alberto A.
2016
A global bifurcation theorem for Darwinian matrix models. Zbl 07355491
Meissen, Emily P.; Salau, Kehinde R.; Cushing, Jim M.
2016
The evolutionary dynamics of a population model with a strong Allee effect. Zbl 1369.92091
Cushing, Jim M.
2015
An evolutionary Beverton-Holt model. Zbl 1317.92062
Cushing, J. M.
2014
Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations. Zbl 1454.92024
Cushing, J. M.
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
AlSharawi, Ziyad; Cushing, Jim M.; Elaydi, Saber
2014
Darwinian dynamics of a juvenile-adult model. Zbl 1273.92046
Cushing, J. M.; Stump, Simon Maccracken
2013
A bifurcation analysis of stage-structured density dependent integrodifference equations. Zbl 1231.92063
Robertson, Suzanne L.; Cushing, J. M.
2012
A dynamic dichotomy for a system of hierarchical difference equations. Zbl 1237.39013
Cushing, J. M.
2012
Life stages: interactions and spatial patterns. Zbl 1238.92048
Robertson, Suzanne L.; Cushing, J. M.; Costantino, R. F.
2012
A net reproductive number for periodic matrix models. Zbl 1447.92334
Cushing, J. M.; Ackleh, A. S.
2012
Evolutionary dynamics and strong Allee effects. Zbl 1447.92276
Cushing, J. M.; Hudson, Jarred T.
2012
On the relationship between $$r$$ and $$R_0$$ and its role in the bifurcation of stable equilibria of Darwinian matrix models. Zbl 1403.92239
Cushing, J. M.
2011
Spatial segregation in stage-structured populations with an application to Tribolium. Zbl 1225.92049
Robertson, Suzanne L.; Cushing, J. M.
2011
Socially induced ovulation synchrony and its effect on seabird population dynamics. Zbl 1225.92004
Henson, Shandelle M.; Cushing, J. M.; Hayward, James L.
2011
Competitive outcomes changed by evolution. Zbl 1403.92264
Rael, R. C.; Vincent, T. L.; Cushing, J. M.
2011
A bifurcation theorem for Darwinian matrix models. Zbl 1192.92033
Cushing, J. M.
2010
Three stage semelparous Leslie models. Zbl 1204.92054
Cushing, J. M.
2009
Matrix models and population dynamics. Zbl 1352.92119
Cushing, J. M.
2009
Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model. Zbl 1142.92025
Chitnis, Nakul; Hyman, James M.; Cushing, Jim M.
2008
Multiple mixed-type attractors in a competition model. Zbl 1284.92108
Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C.
2007
Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064
Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing
2007
Modeling territory attendance and preening behavior in a seabird colony as functions of environmental conditions. Zbl 1141.92340
Henson, Shandelle M.; Galusha, Joseph G.; Hayward, James L.; Cushing, J. M.
2007
Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Zbl 1117.39001
Elaydi, S.; Cushing, J.; Lasser, R.; Ruffing, A.; Papageorgiou, V.; Van Assche, W.
2007
Evolution of corn oil sensitivity in the flour beetle. Zbl 1153.91344
Rael, R. C.; Vincent, T. L.; Costantino, R. F.; Cushing, J. M.
2007
Bifurcation analysis of a mathematical model for malaria transmission. Zbl 1107.92047
Chitnis, Nakul; Cushing, J. M.; Hyman, J. M.
2006
A juvenile-adult model with periodic vital rates. Zbl 1112.92052
Cushing, J. M.
2006
Nonlinear semelparous Leslie models. Zbl 1089.92040
Cushing, J. M.
2006
Dynamics of hierarchical models in discrete-time. Zbl 1060.92048
Jang, S. R. J.; Cushing, J. M.
2005
Some discrete competition models and the principle of competitive exclusion. Zbl 1091.92047
Cushing, J. M.; LeVarge, Sheree
2005
Some discrete competition models and the competitive exclusion principle. Zbl 1071.39005
Cushing, J. M.; Levarge, Sheree; Chitnis, Nakul; Henson, Shandelle M.
2004
The LPA model. Zbl 1067.39001
Cushing, J. M.
2004
Cycle chains and the LPA model. Zbl 1060.39012
Cushing, J. M.
2003
A discrete hierarchical model of intra-specific competition. Zbl 1019.92034
Jang, S. R.-J.; Cushing, J. M.
2003
Predicting irregularities in population cycles. Zbl 1088.39503
Henson, Shandelle M.; Reilly, James R.; Robertson, Suzanne L.; Schu, Matthew C.; Rozier, Eric W. D.; Cushing, J. M.
2003
A periodically forced Beverton-Holt equation. Zbl 1023.39013
Cushing, J. M.; Henson, Shandelle M.
2002
Geometric transient solutions of autonomous scalar maps. Zbl 1008.39009
Henson, Shandelle M.; Cushing, J. M.
2002
Global dynamics of some periodically forced, monotone difference equations. Zbl 1002.39003
Cushing, J. M.; Henson, Shandelle M.
2001
A chaotic attractor in ecology: Theory and experimental data. Zbl 0976.92022
Cushing, J. M.; Henson, Shandelle M.; Desharnais, Robert A.; Dennis, Brian; Costantino, R. F.; King, Aaron
2001
Multiple attractors, saddles, and population dynamics in periodic habitats. Zbl 1323.92169
Henson, Shandelle M.; Costantino, R. F.; Cushing, J. M.; Dennis, Brian; Desharnais, Robert A.
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
Agur, S.; Cushing, J.; Diekmann, O.; Gyllenberg, M.; Heesterbeek, H.; Jagers, P.; Kimmel, M.; Kostova, T. V.; Milner, F.
1999
Global stability of some matrix equations in population dynamics. Zbl 0941.39005
Cushing, J. M.
1999
An introduction to structured population dynamics. Zbl 0939.92026
Cushing, J. M.
1998
Resonant population cycles in temorally fluctuating habitats. Zbl 0973.92034
Costantino, R. F.; Cushing, J. M.; Dennis, B.; Desharnais, R. A.; Henson, S. M.
1998
Periodically forced nonlinear systems of difference equations. Zbl 0905.39003
Cushing, J. M.
1998
Stability conditions for equilibria on nonlinear matrix population models. Zbl 0920.92022
Zhou, Yicang; Cushing, J. M.
1998
Chaotic dynamics in an insect population. Zbl 1225.37103
Costantino, R. F.; Desharnais, R. A.; Cushing, J. M.; Dennis, B.
1997
The effect of periodic habitat fluctuations on a nonlinear insect population model. Zbl 0890.92023
Henson, Shandelle M.; Cushing, J. M.
1997
Hierarchical models of intra-specific competition: Scramble versus contest. Zbl 0878.92031
Henson, Shandelle M.; Cushing, J. M.
1996
Global stability in a nonlinear difference-delay equation model of flour beetle population growth. Zbl 0862.39005
Kuang, Yang; Cushing, J. M.
1996
Periodic cycles of nonlinear discrete renewal equations. Zbl 0856.39007
Cushing, J. M.
1996
Optimal parasitization in a size-structured host-parasitoid model. Zbl 0894.92028
Henson, Shandelle M.; Cushing, J. M.
1996
Oscillations caused by cannibalism in a size-structured population model. Zbl 0838.92027
Cushing, J. M.; Li, Jia
1995
Systems of difference equations and structured population dynamics. Zbl 0860.39003
Cushing, J. M.
1995
The dynamics of hierarchical age-structured populations. Zbl 0823.92018
Cushing, J. M.
1994
Oscillations in age-structured population models with an Allee effect. Zbl 0808.92022
Cushing, J. M.
1994
Structured population dynamics. Zbl 0925.92105
Cushing, J. M.
1994
A size-structured model for cannibalism. Zbl 0768.92020
Cushing, J. M.
1992
Intra-specific competition and density dependent juvenile growth. Zbl 0745.92022
Cushing, J. M.; Li, Jia
1992
A discrete model for competing stage-structured species. Zbl 0747.92021
Cushing, J. M.
1992
A simple model of cannibalism. Zbl 0738.92015
Cushing, J. M.
1991
Juvenile versus adult competition. Zbl 0727.92022
Cushing, J. M.; Li, Jia
1991
Some delay models for juvenile vs. adult competition. Zbl 0743.92025
Cushing, J. M.
1991
Competing size-structured species. Zbl 0755.92021
Cushing, J. M.
1991
Some competition models for size-structured populations. Zbl 0732.92020
Cushing, J. M.
1990
On Ebenman’s model for the dynamics of a population with competing juveniles and adults. Zbl 0688.92012
Cushing, J. M.; Li, Jia
1989
A competition model for size-structured species. Zbl 0684.92020
Cushing, J. M.
1989
A strong ergodic theorem for some nonlinear matrix models for the dynamics of structured populations. Zbl 0850.92064
Cushing, J. M.
1989
Nonlinear matrix models and population dynamics. Zbl 0850.92069
Cushing, J. M.
1988
The Allee effect in age-structured population dynamics. Zbl 0679.92019
Cushing, J. M.
1988
Equilibria in systems of interacting structured populations. Zbl 0635.92014
Cushing, J. M.
1987
Periodic Lotka-Volterra competition equations. Zbl 0608.92019
Cushing, J. M.
1986
Oscillatory population growth in periodic environments. Zbl 0599.92021
Cushing, J. M.
1986
Periodic McKendrick equations for age-structured population growth. Zbl 0598.92013
Cushing, J. M.
1986
Equilibria in structured populations. Zbl 0591.92018
Cushing, J. M.
1985
Global branches of equilibrium solutions of the McKendrick equations for age-structured population growth. Zbl 0578.92020
Cushing, J. M.
1985
Existence and stability of equilibria in age-structured population dynamics. Zbl 0553.92014
Cushing, J. M.
1984
Periodic two-predator, one-prey interactions and the time sharing of a resource niche. Zbl 0554.92016
Cushing, J. M.
1984
A competition model with age structure. Zbl 0535.92023
Cushing, J. M.; Saleem, M.
1984
Bifurcation of time periodic solutions of the McKendrick equations with applications to population dynamics. Zbl 0533.92014
Cushing, J. M.
1983
Periodic Lotka-Volterra systems and time sharing of ecological niches. Zbl 0529.92024
Cushing, J. M.
1983
Competition and age-structure. Zbl 0533.92021
Cushing, J. M.; Saleem, M.
1983
A predator prey model with age structure. Zbl 0501.92018
Cushing, J. M.; Saleem, M.
1982
Periodic Kolmogorov systems. Zbl 0506.34039
Cushing, J. M.
1982
Bifurcation of periodic solutions of nonlinear equations in age- structured population dynamics. Zbl 0515.92018
Cushing, J. M.
1982
Stability and maturation periods in age structured populations. Zbl 0484.92022
Cushing, J. M.
1981
Two species competition in a periodic environment. Zbl 0455.92012
Cushing, J. M.
1980
Bifurcation of asymptotically periodic solutions of Volterra integral equations. Zbl 0465.45003
Cushing, J. M.; Simmes, S. D.
1980
Nontrivial periodic solutions of integrodifferential equations. Zbl 0457.45004
Cushing, J. M.
1979
Nontrivial periodic solutions of some Volterra integral equations. Zbl 0416.45001
Cushing, J. M.
1979
Stability and instability in predator-prey models with growth rate response delays. Zbl 0423.92033
Cushing, J. M.
1979
Bifurcation of periodic oscillations due to delays in single species growth models. Zbl 0389.92018
Cushing, J. M.
1978
...and 35 more Documents
all top 5

#### Cited by 2,274 Authors

 77 Cushing, Jim M. 40 Chen, Lansun 25 Yakubu, Abdul-Aziz 22 Jang, Sophia R.-J. 21 Ackleh, Azmy S. 20 Henson, Shandelle M. 20 Ruan, Shigui 19 Elaydi, Saber Nasr 19 Kulenović, Mustafa R. S. 18 Xu, Rui 15 Kar, Tapan Kumar 14 Franke, John E. 14 Zhao, Xiao-Qiang 13 Diekmann, Odo 12 Chattopadhyay, Joydev 12 Li, Jia 12 Liu, Zhihua 11 Brunner, Hermann 11 Gumel, Abba B. 11 Kang, Yun 11 Ladas, Gerasimos E. 11 Magal, Pierre 11 Samanta, Sudip K. 11 Tchuenche, Jean Michel 11 van den Driessche, Pauline 11 Yuan, Sanling 10 Alsharawi, Ziyad 10 Chaplain, Mark A. J. 10 Gopalsamy, Kondalsamy 10 Hyman, James M. 10 Kengne, Jacques 10 Papaschinopoulos, Garyfalos 10 Sacker, Robert J. 10 Smith, Hal Leslie 10 Wang, Fengyan 10 Xia, Yonghui 9 Camouzis, Elias 9 Farkas, József Zoltán 9 Guiver, Chris 9 He, Zerong 9 Nyabadza, Farai 9 Song, Xinyu 9 Wang, Wendi 8 Allen, Linda J. S. 8 Bowong, Samuel 8 Chitnis, Nakul 8 Chow, Yunshyong 8 Davidson, Fordyce A. 8 Gourley, Stephen A. 8 Gyllenberg, Mats 8 Huo, Hai-Feng 8 Kumar Upadhyay, Ranjit 8 Li, Xuezhi 8 Mohammed-Awel, Jemal 8 Selgrade, James F. 8 Tang, Sanyi 8 Thieme, Horst R. 8 Townley, Stuart B. 7 Calsina, Àngel 7 Cao, Jinde 7 Cui, Jingan 7 Dehghan Takht Fooladi, Mehdi 7 Frank, Till Daniel 7 Freedman, Herbert Irving 7 Luboobi, Livingstone Serwadda 7 Ngonghala, Calistus N. 7 Pötzsche, Christian 7 Schinas, Christos J 7 Song, Yongli 7 Szidarovszky, Ferenc P. 7 Takeuchi, Yasuhiro 7 Teboh-Ewungkem, Miranda I. 7 Veprauskas, Amy 7 Wang, Yuanshi 7 Wikan, Arild 7 Xue, Ling 7 Zhang, Jiafang 6 Angulo, Oscar 6 Baek, Hunki 6 Beretta, Edoardo 6 Bownds, John M. 6 Bravo de la Parra, Rafael 6 Han, Maoan 6 Jiang, Jifa 6 Kocic, Vlajko Lj. 6 Kon, Ryusuke 6 Kuang, Yang 6 Liu, Zhijun 6 López-Marcos, Juan Carlos 6 Luís, Rafael 6 Manore, Carrie A. 6 Martcheva, Maia 6 Ngwa, Gideon Akumah 6 Pao, Chia-Ven 6 Pilav, Esmir 6 Rebarber, Richard 6 Teng, Zhi-dong 6 Wu, Jianhong 6 Zhang, Hong 5 Agusto, Folashade B. ...and 2,174 more Authors
all top 5

#### Cited in 220 Serials

 111 Journal of Mathematical Biology 104 Journal of Difference Equations and Applications 100 Journal of Mathematical Analysis and Applications 97 Mathematical Biosciences 96 Applied Mathematics and Computation 88 Journal of Biological Dynamics 68 Bulletin of Mathematical Biology 62 Chaos, Solitons and Fractals 50 Nonlinear Analysis. Real World Applications 44 Theoretical Population Biology 44 Journal of Theoretical Biology 37 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 33 Journal of Differential Equations 31 Mathematical and Computer Modelling 31 Discrete Dynamics in Nature and Society 31 Discrete and Continuous Dynamical Systems. Series B 30 Computers & Mathematics with Applications 29 International Journal of Biomathematics 26 Mathematical Biosciences and Engineering 24 Applied Mathematical Modelling 24 Nonlinear Analysis. Theory, Methods & Applications 22 Journal of Computational and Applied Mathematics 19 Abstract and Applied Analysis 18 Nonlinear Dynamics 18 Journal of Biological Systems 16 Communications in Nonlinear Science and Numerical Simulation 15 Advances in Difference Equations 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 13 Journal of Applied Mathematics and Computing 12 SIAM Journal on Applied Mathematics 11 Mathematics and Computers in Simulation 11 Applied Mathematics Letters 10 Rocky Mountain Journal of Mathematics 10 Journal of Dynamics and Differential Equations 10 International Journal of Applied and Computational Mathematics 9 Applicable Analysis 8 Physics Letters. A 8 Complexity 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 7 Mathematical Modelling of Natural Phenomena 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 Statistical Physics 4 Mathematics of Computation 4 Computing 4 Numerische Mathematik 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 Journal of Applied Analysis and Computation 3 Bulletin of the Australian Mathematical Society 3 Journal of the Franklin Institute 3 Physica A 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 International Journal of Computer Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Electronic Journal of Differential Equations (EJDE) 3 Journal of Mathematical Chemistry 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 Boundary Value Problems 3 Nonlinear Analysis. Hybrid Systems 3 International Journal of Differential Equations 3 Open Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Artificial Intelligence 2 International Journal of Systems Science 2 Applied Mathematics and Optimization 2 Quarterly of Applied Mathematics 2 SIAM Journal on Control and Optimization 2 Tohoku Mathematical Journal. Second Series 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Applicandae Mathematicae 2 Japan Journal of Applied Mathematics 2 Journal of Symbolic Computation 2 Journal of Scientific Computing ...and 120 more Serials
all top 5

#### Cited in 47 Fields

 1,385 Biology and other natural sciences (92-XX) 691 Ordinary differential equations (34-XX) 349 Dynamical systems and ergodic theory (37-XX) 264 Difference and functional equations (39-XX) 231 Partial differential equations (35-XX) 155 Integral equations (45-XX) 145 Numerical analysis (65-XX) 82 Systems theory; control (93-XX) 73 Probability theory and stochastic processes (60-XX) 73 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 62 Operator theory (47-XX) 16 Statistics (62-XX) 14 Information and communication theory, circuits (94-XX) 12 Statistical mechanics, structure of matter (82-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Real functions (26-XX) 9 Computer science (68-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) 5 Operations research, mathematical programming (90-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-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 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.