Dynamic Modeling And Analysis Of Two Kinds Of Infectious Diseases

Nowadays,some infectious diseases have long-term serious impact on human life,econo-my,and poses a threat to human health.Research on the dynamics of infectious diseases has important practical significance to study the spread of infectious diseases,and it is important to control these diseases and put forward some feasible and effective measures.mathematics modeling is an important tool to study the spread of infectious diseases.In this paper,we make some dynamics analysis for the Zika virus and cholera and the main contents are as follows:The first chapter introduces the research background and research status of two kinds of infectious diseases at home and abroad.It is given that some knowledge are used in this paper.The second chapter mainly introduces the mathematical modeling and analysis of prop-agation mechanism based on Zika virus.In this chapter,we introduces the dynamics model of transmission of Zika virus(the mosquito borne and sexually transmission routes in Columbi-a in 2016).For the special transmission route(sexual transmission route),we established a network model for Zika virus.We estimates the values of parameters about zika virus according to the data of zika virus cases in Columbia supported by WHO.It is estimated that the basic reproduction number R0 = 2.23.Through the sensitivity analysis,we found that the effect of sexual transmission on the spread of disease is not negligible.There was a significant correlation between the infection rate coefficient and the basic reproductive number.Asymptomatic infected persons can not be ignored in the transmission of zika virus among individuals.The third chapter mainly introduces the spread of cholera in Chinese,and established the mathematical model.The basic reproduction number and the global stability of disease-free equilibrium are given in this chapter.We applied the model to Chinese cholera cases data(1998-2012)to describe the spread process of cholera.we found that if you want to avoid the outbreak of cholera in China,we should increase vaccine coverage and make some efforts to improve the living environment especially drinking water.In Chapter 4,Summarize the main conclusion of this paper and some Problems to be solved for future research.