Dynamics On Integrated Pest Control Model With Resisitant Development And Using Pesticides In Rotation

With the progress of science and technology and the development of social and economic, pest management increasingly becomes one of the common research topics by all the countries around the world. Chemical control and biological control are the main methods of pest management. In recent years, based on impulsive differential equations, many scholars have studied pest control models with pesticide applications, releasing natural enemies and integrated pest management strategies combining chemical control and biological control. However, all those works ignored the development of pest resistance to pesticide. In this paper, an integrated pest control model with impulse at fixed time by introducing resistant development and periodic using pesticides in rotation is proposed, and the dynamics of such model is systematically studied by using the basic theory of impulsive differential equation and analysis methods.In Chapter 1, some relevant preliminaries are given.In Chapter 2, considering spraying pesticides and releasing natural enemies at the same fixed time in a period, an integrated pest management model with resistant development and using pesticides in rotation is proposed. Suppose that using the same kind of pesticide will develop resistance after some time, it is essential to use pesticides in rotation. In fact, with time going by, the survival rate of pest will increase, so the survival rate of pest q should be considered as a function tq)( of t. In this paper, three kinds of survival function of pest are considered. Assume the natural enemy proportionally decreases due to the use of pesticide instantly. The sufficient conditions of existence and global attractiveness of pest-eradication periodic solution are obtained respectively. Finally, main factors of the pest control tactics on the threshold conditions are analyzed by numerical simulations, and the optimal spraying times of each pesticide are obtained.In Chapter 3, considering spraying pesticides and releasing natural enemies at different fixed time in a period, an integrated pest management model with resistant development and using pesticides in rotation is proposed.. Based on Chapter two, due to the adverse effects of pestcides on natural enemies, pesticide and releasing natural enemies are used at different fixed time. Also considering three kinds of survival function of pest, the sufficient conditions of existence and global attractiveness of extinction periodic solution of pest are obtained respectively. Similar numerical analysis results to Chapter two are obtained.