On the long-time dynamics of nonautonomous predator–prey models with mutual interference

摘要

The longtime behaviour of a nonautonomous bidimensional Hassell predator–prey model with mutual interference is investigated. The existence of an absorbing set in the phase space is shown, and necessary and sufficient conditions guaranteeing the nonlinear, global, asymptotic stability of the positive solutions have been found by using the Liapunov direct method.