Dynamic Analysis Of Predator-prey System With Prey Harvesting

From the point of view of human needs,predator-prey systems typically use biological resource development and population harvesting.There is growing interest in the analysis and modeling of captured predator-prey systems.This article establishes a corresponding mathematical model for theoretical analysis,and the specific content is laid out as follows:On the basis of the existing model,the predation and prey are considered,and prey with susceptibility and infection are introduced.At the same time,a mathematical model is considered for proportion capture to discuss the existence and stability of the equilibrium point,and it is proved that the solution of the system is Boundaries,through the analysis of the equilibrium point,proves that under certain conditions,the positive equilibrium of the system is locally asymptotically stable.The Li-Muldowney method is used to study the stability of the positive equilibrium,and it is found that the positive equilibrium is globally asymptotically stable under certain conditions.The final numerical simulation verified the above conclusions.In a predator model with Holling type ? functional response,predator satisfaction with Leslie growth,and prey satisfaction with logistic growth,a mathematical model was considered for non-linear capture of prey and the existence and stability of its equilibrium point were discussed.All boundary equilibrium points in the system are unstable;in certain conditions,the positive equilibrium point is locally asymptotically stable.