Title

Evolutionary dynamics of single species model with Allee effect

Document Type

Article

Publication Date

7-15-2019

Publication Title

Physica A: Statistical Mechanics and its Applications

Volume

526

Keywords

Allee effect, Ergodicity, Evolutionarily stable strategy equilibria, Survival analysis

Abstract

© 2019 Elsevier B.V. By considering a continuous strategy evolutionary game theory (EGT), a single species population subject to additive Allee effect is investigated. We assume that the carrying capacity and predator evasion ability following a Gaussian distribution. This assumption shows that evolution prevents extinction even if population has strong Allee effect. The ratio of competition and anti-predation phenotypes has an important effect on determining global dynamics of the EGT model. The numerical simulations present the model can have nine equilibria, and the model has multiple evolutionarily stable strategy equilibria (ESS).

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