The dynamics of a mutual interference age structured predator–prey model with time delay and impulsive perturbations on predators

In this paper, we introduce a mutual interference age structured predator–prey (natural enemy-pest) model with constant maturation time delay for the prey, and then propose a pest management strategy by constant periodic releasing for the predator. We show that there exists a global attractive pest-eradication periodic solution when the periodic releasing amount μ1μ1 and μ2μ2 are lager than some critical value. Further, to obtain a more effective pest control strategy, we give the conditions (involving the estimate of μ1μ1 and μ2μ2) in which the model is uniformly permanent and the pest population is under the economic threshold level. We believe that the results will provide reliable tactic basis for the practical pest management.