Properties Of The Second Type Of Functional Response Competition Model

In this paper,we discuss several types of competition models with the second type of functional response based on the basic theory of differential equations.In order to make the model closer to the actual situation,we consider the competing population with density constraints,the Allee effect,The second type of functional response and other factors.This article is divided into five chapters.The first chapter introduces the research significance of competitive model,re-search background and the preliminary knowledge needed in this paper.The second chapter mainly discusses the second type of functional reaction com-petition model with the constant input rate of two populations under the condition of non-density constraints,analyzes the existence and stability of the equilibrium point,and draws the phase diagram of the model,and finally This model is compared with the Volterra competition model with constant input rate under non-density con-straints,and the influence of the second type of functional response function on this model is analyzed.The third chapter mainly discusses the second type of functional reaction com-petition model under the condition of density constraints,analyzes the existence and stability of the equilibrium point,and draws the phase diagram of the model.Fi-nally,this model and the density control The Volterra competition model under the condition is compared and the influence of the second type of functional response function on this model is analyzed.The fourth chapter mainly discusses the second type of functional reaction com-petition model with two classes of Allee effect under density constraints,analyzes the existence and stability of the equilibrium point,and draws the phase diagram of the model,and finally This model is compared with the Volterra competition model with Allee effect under density constraints,and the influence of the second type of functional response function on this model is analyzed.The fifth chapter summarizes the influence of the second type of functional re-action function on the competition model,analyzes the shortcomings of this article,and prospects the problem.