Analysis of a nonautonomous Gompertz population growth model with dispersal in a polluted environment
In this paper, the dynamic behavior of a nonautonomous system with mixed functional response is studied. The population has a history that takes them through two stages, immature and mature. The effects of diffusion on population growth in a polluted patch environment are discussed. Some sufficient conditions on permanence and extinction of population are obtained. Under some appropriate conditions, the asymptotically stability of the periodic solution is obtained. Moreover, a stochastic model is proposed and the conditions for the existence of a global positive solution are discussed.
diffusion patch environment gompertz model stage-structure stochastic perturbation 34c25 93c10