The Study On Stage-structured Predator-prey Models With Impulsive Control Tactics For Pest Management

In this paper, we study stage-structured predator-prey model with impulsive perturbationfor pest management strategy. The asymptotic behavior of solutions of the systems are analyzed.The article is divided into three chapters.In Chapter 1, we introduce some background, the main work of the paper and some pre-limineries.In Chapter 2, we analyze a stage-structured predator-prey model with disease in the preyfor the purpose of integrated pest management. A pests control strategy is introduced byimpulsively periodically releasing the infected pests and the natural predators. In section 1,we consider infective prey applications are more frequent than releases of natural enemies, weobtain the global attractive condition for the susceptible pest-eradication periodic solution andpermanence of system. In section 2, analogous to the first one, we consider natural enemiesreleases are more frequent than infective prey applications, the relative theories of impulsiveand delay diferential equations are employed to obtain condition for the global attractivity ofthe susceptible pest-eradication periodic solution and permanence of system.In Chapter 3, a ratio-dependent predator-prey model with stage structure in the predator isconstructed. By using Floquet’s theorem and comparison theorem, we obtain both the conditionsfor the global asymptotical stability of the pest-eradication periodic solution and the permanenceof system.