Pest Management Model With Biochemical Control

In this paper, combining the chemical control and the biological control, we adopt three different methods to control pests, respectively. The main research contents of this paper are as follows:First, we first introduce the research survey at home and abroad, the research gist and the development trend on pest management. Then we introduce the significance and the structure of this paper. Finally we introduce some basic knowledge related with this paper.Second, based on the integrated pest management strategies of spraying insecticide and releasing natural enemies, and combining with the theory of population ecology, we establish a differential equation model with impulsive control. By using Floquet theory and comparison theorem of impulsive differential equation, we prove the global asymptotic stability of the pest-extinction periodic solution and obtain the sufficient conditions of persistence in the system.Third, based on the integrated pest management strategies of releasing viral particles and spraying insecticide integrated, and combining epidemic dynamics with population ecology, we establish a differential equation model with impulsive control. By using Floquet theory and comparison theorem, we prove the global asymptotic stability of the pest-extinction periodic solution and obtain the sufficient conditions of persistence in the system.Finally, we establish a delayed pest management model with stage structure and impulsive control of releasing natural enemies at the fixed time. By using relevant theories and methods of impulsive differential equation and delayed differential equation, we obtain the sufficient conditions of global attractivity for susceptible pest-extinction periodic solutions and pests pop, and prove that the susceptible pests and natural enemies can coexist and the density of susceptible pests can be controlled under the level of economic harm within a certain range.