Resource and Pest Management through Continuous and Impulsive Control Strategies

Abstract

In this paper, we propose two mathematical models concerning continuous and, respectively, impulsive pest control strategies. In the case in which a continuous control is used, it is shown that the model admits a stable susceptible pest-eradication equilibrium under appropriate conditions which involve parameter estimations. In the case in which an impulsive control is used, it is observed that there exists a asymptotically stable susceptible pest-eradication periodic solution on condition that the amount of infective pests released periodically is larger than some critical value.