Two Kinds Of Prey System With Qualitative Analysis Of Sparse Effects And Stage Structure - Pulse Put

In this paper,two kinds of predator-prey model are considered.Some background knowledge and the state of study are introuduced in the first chapter, and find some questions in the chapter. Based on the fact , the predator-prey system with sparse effect are considered, the quality of the equilibrium points is discussed in the second chapter, the conditions of the existence and the stability and the uniqueness of the system's limit cycles are provided. The predator-prey system with stage-structure and impulsive control strategy is established. By using theories and methods of ecology and ordinary differential equation, the dynamics complexity of the system is considered. Sufficient conditions which guarantee the global attractivity of pest-extinction periodic solution and permanence of the system are obtained.