Dynamics Modeling And Analysis Of Two Classes Of Virus Infection And Transmission

Infectious diseases are diseases caused by various pathogens that can be transmitted from person to person,animal to animal,or person to animal.The recent outbreak of novel coronavirus(COVID-19)in the world shows that the prevention and control of infectious diseases is of great significance to people's health and the harmonious development of society.Infectious diseases cannot be tested with humans.In the prevention and control of infectious diseases,mathematical model has become an important tool for people to understand the occurrence,spread and elimination of infectious diseases.Based on the characteristics of HIV and Zika virus transmission,this paper uses the modeling method of infectious disease dynamics to establish and analyze the dynamic model of HIV infection and Zika disease transmission,respectively.The specific content of this article is as follows.In the first chapter,the background of human immunodeficiency virus(HIV)and ZIKV,as well as the relevant basic knowledge to be used in this article are introduced.In the second chapter,considering the impact of super-infection on HIV latency period,a class of age-structured HIV dynamic model with super-infection is established.Based on the basic knowledge of infectious disease dynamics and the stability theory of virus dynamics,the basic reproduction number of virus infection control and the existence of multiple equilibrium states in the system are obtained.The stability analysis is performed to obtain the local stability of the equilibrium state.Finally,the persistence theory of the disease is used to prove that the disease is uniformly persistent.In the third chapter,ZIKV is a mosquito-borne disease.Considering the impact of a contaminated aquatic environment on ZIKV transmission,a class of dynamic model of ZIKV transmission in contaminated aquatic environments is established.Based on the theory of ordinary differential equations and basic knowledge of infectious disease dynamics,the basic reproduction number of Zika transmission is obtained,and the parameter sensitivity analysis of the basic reproduction number and the influence of important parameters on the final population size are performed using numerical simulation.Finally,we propose some strategies to control the spread of ZIKV.