Difference equations as models of evolutionary population dynamics

JM Cushing - Journal of Biological Dynamics, 2019 - Taylor & Francis
We describe the evolutionary game theoretic methodology for extending a difference
equation population dynamic model in a way so as to account for the Darwinian evolution of …

A bifurcation theorem for nonlinear matrix models of population dynamics

JM Cushing, AP Farrell - Journal of Difference Equations and …, 2020 - Taylor & Francis
We prove a general theorem for nonlinear matrix models of the type used in structured
population dynamics that describes the bifurcation that occurs when the extinction …

A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies

JM Cushing - Journal of Biological Dynamics, 2021 - Taylor & Francis
We prove bifurcation theorems for evolutionary game theoretic (Darwinian dynamic)
versions of nonlinear matrix equations for structured population dynamics. These theorems …

A Model of Cannibalism and Reproductive Synchrony

JM Cushing, SM Henson, JL Hayward - Modeling Behavior and Population …, 2023 - Springer
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