| In recent years,Pest control problem caused high attention of scholars,considering the actual control of insect pests,scientific and rational theory analysis is particularly important.Considering the practical significance,we don’ t kill pests completely in order to avoid damage to the ecological environment.Pest management problem widely exists in the process of agricultural production,for this kind of problem we put forward the ecological population model with impulsive effect.Produce to our research in the theory of impulsive differential equations of ecological population model provides a good theoretical basis,according to the guidance of the theory and research,we set up with stage structure and the time lag effect of pulsed release a Holling Ⅲ predator predator-prey system model of natural enemies The sufficient conditions of the existence,global attractiveness and sustainable survivability of pest-eradication periodic solution were given By using comparison theorem of impulsive differential equation model,and then we do some numerical simulations.The thesis consists four chapters.In the first chapter the paper introduces the research background and research status,and introduces the main work of this article.The second chapter gives some basic theories of impulsive differential equations and some relevant preliminaries.In chapter three,this chapter presents the Holling Ⅲ class of pulse control pest management model,this model considers the phenomenon such as the growth of pests with stage structure in time delay,so for periodic pulse on the natural enemies.Using the comparison theorem of impulsive differential equation,obtained the sufficient conditions of global attractiveness and sustainable survivability of pest-eradication periodic solution.Finally,the correctness of the conclusion is verified by numerical simulation. |
