Stability Analysis Of Ligulaosis Model

In this paper,based on the background of ligulaosis' spreading,we establish and analyze two prey-predator model which includes S,I infectious diseases compartments.In the first chapter,we introduce the background of ligulaosis,and the progress of the study of some relational dynamical models.In the second chapter,we construct a dynamic model considering bilinear function.Firstly,we show positivity and boundness of the solutions of the system.Secondly,we calculate the basic reproduction number of the model and analyze the existence conditions of.Then,we prove local asymptotic stability of equilibria.Finally,we obtain the global asymptotic stability of equilibria.In the third chapter,we establish a dynamic model considering type II functional response function,Firstly,we prove the positivity and boundness of the model solution,and then calculate the basic reproduction number and discusses the existence of equilibria of the model.Secondly,we show local asymptotic stability of the equilibria.In the last chapter,we make a brief review of the above conclusion,and present practical meaning for these models.And we analyze some shortcomings of this thesis and point out some questions and future work.