The evolutionary dynamics of a population model with a strong Allee effect

DOI10.3934/mbe.2015.12.643zbMath1369.92091OpenAlexW2335527098WikidataQ50914777 ScholiaQ50914777MaRDI QIDQ888642

Jim M. Cushing

Publication date: 2 November 2015

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2015.12.643

zbMATH Keywords

population dynamicsevolutionevolutionary game theoryevolutionarily stable strategyAllee effects

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of game theory (91A80) Population dynamics (general) (92D25) Evolutionary games (91A22)

Related Items (9)

Population dispersal and Allee effect ⋮ Dynamics of a stochastic population model with Allee effect and jumps ⋮ A cubic nonlinear population growth model for single species: theory, an explicit-implicit solution algorithm and applications ⋮ Asymptotic stability, bifurcation analysis and chaos control in a discrete evolutionary ricker population model with immigration ⋮ Complex dynamics and bifurcation analysis for a Beverton–Holt population model with Allee effect ⋮ Protection Zones for Survival of Species in Random Environment ⋮ Dynamics of a generalized Ricker–Beverton–Holt competition model subject to Allee effects ⋮ How the concavity of reproduction/survival trade-offs impacts the evolution of life history strategies ⋮ Ecological and evolutionary dynamics of two-stage models of social insects with egg cannibalism

Cites Work

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• The role of the Allee effect in species packing
• Allee dynamics and the spread of invading organisms
• Allee effects, extinctions, and chaotic transients in simple population models
• Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics
• Population models with Allee effect: a new model
• Evolutionary dynamics and strong Allee effects
• Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Compensatory versus Overcompensatory Dynamics in Density-dependent Leslie Models

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