Research On Pest Management Model With Different Switching Strategies

In nature,the increase of population density of insect pests is opposite to the yield of crops at a certain stage.It is one of the most commonly used methods to reduce pest population density by spraying pesticides on natural enemies and insect pests.However,when the density of the pest population is below a certain index,the effect of pest on crop yield is weakened.Considering the economic cost of pest management,only when the density of the pest inside the pest reaches a certain critical level,it can be controlled to a certain extent.Therefore,the dynamic analysis of the economic crop governance model will be carried out from the following contents: For the non-smooth growth analysis model of Filippov system of pest control,first,we take the number of juvenile population as a threshold control strategy.We discuss the existence of the sliding line system,the existence of the null-isoclines and the definition domain by using the properties of Lambert W function.Then,taking the total number of larvae and adults as thresholds,we further study the existence intervals of slip line systems in different ranges,and do numerical simulation for them.If the economic threshold is appropriately increased,the sliding interval will also change.If there is any change in the model,there will be some indication that the increase of economic threshold in real life is also closely related to the density of pest population.Finally,the Utkin isometric control method is used to verify the dynamic analysis of the model sliding line system,and the treatment model is more appropriate before and after.In the treatment of pine wood nematode disease in forest diseases and pests,first,the Filippov epidemic model is established according to the literature,the number of infected pine trees when it reached a certain economic threshold,then the removal of infected trees and replant disease control on the tree.By analyzing the existence condition of the solution of the model,the existence of the endemic equilibrium point is studied,and the stability of the solution of the model is discussed.Finally,the branch analysis is carried out.The Filippov system provides a natural description for the selection of model threshold,and the system method has been widely applied and studied in the fields of science,physics and engineering.According to some practical problems and measures,establish the governance model with non-smooth two stage.Content model for complex non-smooth bifurcation analysis method and numerical simulation not only have a certain role in promoting,for the prevention of nematode pest management in our country and the forest can also play control has a certain guiding significance.Some calculation methods and switching strategies in this paper also have some reference value for the research of non-smooth systems.