Study On Flippov Models For Several Pest Management

This paper mainly discusses several models of pest comprehensive management,theoretically studies some dynamic problems of the models,and draws meaningful conclusions through this study.It proposes better suggestions for pest management.The full text includes five partsThe first part is the introduction of this paper.Firstly,it introduces the development of pest comprehensive management and the background of this study.Then,it states the research status of pest comprehensive management at home and abroad and the research contents of this paper.In the second part,a model with Holling III response pets and natural enemies was given without any pest control measures,and the equilibrium point of the model was obtained and the stability conditions of the equilibrium point were discussed;then the existence conditions and sliding area of the false and false truth equilibrium points of the Filippov system were discussed.Finally,the existence conditions and the stability of the pseudo-equilibrium point were discussed.The third part discusses a Filippov model of forest pest management,the number of infected trees was taken as a control index.When the number of the infected trees reaches a certain number of ET,we will use the threshold control strategy to make it lower than the economic hazard level EIL,and then provide a Filippov system of forest pest management.Meanwhile,the existence conditions of the true and false equilibrium points of the Filippov system were discussed,and the limit cycle and sliding area of the system.Finally,the existence conditions and stability of the false equilibrium points were discussed.The fourth part,the entomopathogenic nematodes were used to attack pets,and a Filippov model was put forward to treat pests.The population of pests was taken as the control standard.Threshold control strategy was used to control the population pests,so that it was lower than the economic hazard level EIL.The existence conditions,limit cycle and sliding area of the true and false equilibrium points of the Filippov system were discussed.Finally,the existence conditions and stability of the false equilibrium point were also discussed.The fifth part,the summary of this paper.