On local(ly) ESS of a pair of prey–predator system with predatory switching

This paper concentrates on the study of ecological stability for guaranteeing evolutionary stable strategies (ESS) in a two prey–predator system taking into consideration of handling time, with predatory switching. Here predators are polyphagous in nature. The conditions for ESS of the model system are obtained at the equivalence point. We also derive the invasion conditions of a mutant predator.