Difference equations as models of evolutionary population dynamics

DOI10.1080/17513758.2019.1574034zbMath1447.92333OpenAlexW2914908015WikidataQ91326767 ScholiaQ91326767MaRDI QIDQ3300980

Jim M. Cushing

Publication date: 31 July 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2019.1574034

zbMATH Keywords

stabilitybifurcationdifference equationspopulation dynamicsevolutionary game theoryevolutionary dynamicsDarwinian dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Evolutionary games (91A22) Stability theory for difference equations (39A30) Applications of difference equations (39A60) Bifurcation theory for difference equations (39A28)

Related Items (12)

ANALYSIS OF THE GROWTH RATE OF FEMININE MOSQUITO THROUGH DIFFERENCE EQUATIONS ⋮ Note on a rational system of \((4k+4)\)-order difference equations: periodic solution and convergence ⋮ Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect ⋮ Discrete evolutionary population models: a new approach ⋮ Operator factorization and solution of second-order nonlinear difference equations with variable coefficients and multipoint constraints ⋮ A Darwinian Ricker equation ⋮ Effects of pollution on individual size of a single species ⋮ Ideal Free Dispersal under General Spatial Heterogeneity and Time Periodicity ⋮ A DARWINIAN DYNAMIC MODEL FOR THE EVOLUTION OF POST-REPRODUCTION SURVIVAL ⋮ How the concavity of reproduction/survival trade-offs impacts the evolution of life history strategies ⋮ A bifurcation theorem for Darwinian matrix models and an application to the evolution of reproductive life-history strategies ⋮ The effects of evolution on the stability of competing species

Cites Work

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• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• On the relationship betweenrandR₀and its role in the bifurcation of stable equilibria of Darwinian matrix models
• A global bifurcation theorem for Darwinian matrix models
• An Evolutionary Beverton-Holt Model
• One Dimensional Maps as Population and Evolutionary Dynamic Models
• Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics
• SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS

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