Studies On The Basic Reproduction Numbers Of Several Kinds Of Population Models

This paper is divided into five chapters on the basic reproduction numbers of discrete plant population model,continuous SEIRS infectious disease model and SEIRS infectious disease model with two viruses.In chapter 1,the research background and development of the basic reproduction numbers are summarized,and the research focus of this paper is given.In chapter 2,the basic reproduction numbers of a discrete plant population model is established and studied.Finally,a concrete example is given and numerical simulation is carried out to verify the results.In chapter 3,the basic reproduction numbers is a marker to determine whether a disease is prevalent or not,the basic reproduction numbers of a continuous SEIRS infectious disease model is studied.Studied the existence of the equilibrium of the model,using the criterion of stability of equilibria is discussed,and the next generation of matrix eigenvalue by solving linear equations,the method of model of the basic reproduction numbers,discussed the basic reproduction number and the model of balance and stability,the relationship between the numerical simulation to verify the main result.In chapter 4,studies the SEIRS epidemic model contains two viruses through the establishment of model,research the disease-free equilibrium and the endemic equilibrium of the model,and through the criterion discussed the stability of the equilibrium point,the next generation of matrix eigenvalue by solving linear equations,the method of model of the basic reproduction numbers,discussed the basic reproduction number and the model of balance and stability,the relationship between the numerical simulation to verify the main result.The fifth chapter is the summary and prospect of this paper.