Analysis of nonautonomous predator-prey model with nonlinear diffusion and time delay

摘要

In this paper, a nonautonomous predator-prey model with nonlinear diffusion and time delay due to gestation is investigated, where all parameters are time dependent. It is proved that the system is uniformly persistent under appropriate conditions. Sufficient conditions are derived for the global stability of the system by constructing a suitable Lyapunov functional.