asymptotic properties of a stochastic Gilpin–Ayala model on patches under regime switching. The Gilpin–Ayala parameter is also allowed to switch. Sufficient conditions for extinction and persistence of species are established.
Abstract
The present study is designed to examine the effect of environmental noises in the asymptotic properties of a stochastic Gilpin–Ayala model on patches under regime switching. The Gilpin–Ayala parameter is also allowed to switch. Sufficient conditions for extinction and persistence of species are established.