Permanence and periodicity of a diffusive ratio-dependent predator-prey model with impulsive perturbations. (English) Zbl 1224.35212
Summary: This paper deals with a diffusive ratio-dependent predator-prey model with impulsive perturbations. The permanence and extinction of the system are investigated by comparison principles. The existence, uniqueness and globally asymptotic stability of positive periodic solutions are obtained. The presented results illustrate that impulsive control is an important strategy in ecological resource management since it can transform the permanence of ecological system.