On the relationship betweenrandR0and its role in the bifurcation of stable equilibria of Darwinian matrix models

DOI10.1080/17513758.2010.491583zbMath1403.92239OpenAlexW2049978968MaRDI QIDQ4561256

Jim M. Cushing

Publication date: 5 December 2018

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

Full work available at URL: https://doi.org/10.1080/17513758.2010.491583

zbMATH Keywords

bifurcationevolutionary game theoryequilibrianet reproductive numberDarwinian matrix models

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of game theory (91A80) Population dynamics (general) (92D25)

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One Dimensional Maps as Population and Evolutionary Dynamic Models ⋮ On the net reproduction rate of continuous structured populations with distributed states at birth ⋮ A bifurcation theorem for evolutionary matrix models with multiple traits ⋮ An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius ⋮ Reproduction number versus turnover number in structured discrete-time population models ⋮ Equilibrium Stability and the Geometry of Bifurcation Graphs for a Class of Nonlinear Leslie Models ⋮ Difference equations as models of evolutionary population dynamics ⋮ The evolution of toxicant resistance in daphniids and its role on surrogate species ⋮ Discrete-time population dynamics on the state space of measures ⋮ Discrete-time population dynamics of spatially distributed semelparous two-sex populations ⋮ Persistent discrete-time dynamics on measures ⋮ Discrete-time dynamics of structured populations via Feller kernels ⋮ Persistence versus extinction for a class of discrete-time structured population models

Cites Work

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• Periodic McKendrick equations for age-structered population growth
• Periodically forced nonlinear systems of difference equations
• Spectral Bound and Reproduction Number for Infinite-Dimensional Population Structure and Time Heterogeneity
• Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics
• A chaotic attractor in ecology: Theory and experimental data

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