Evolutionary dynamics of single species model with Allee effect

Abstract 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).