| Infectious diseases have always been a huge threat to human production and life.How to effectively prevent and control infectious diseases is a thorny problem in the world.In this thesis,we mainly studied an infectious disease,West Nile Virus(WNV),which is prevalent in numerous countries but has not been found in China.WNV is one of the arboviruses,which is mainly transmitted by mosquito bites.Mosquitoes act as vectors,birds are the main hosts,and other mammals such as humans and horses may also be infected during the transmission.People will develop symptoms once infected,for instance,the flu or encephalitis,or even leading to death.WNV is a new diseasecausing virus for China,people generally lack the immunization to this virus.Once virus outbreaks,it will cause unpredictable serious consequences.Therefore,it is essential for us to study WNV.This thesis mainly studies a transmission model of West Nile virus with human host.The first chapter mainly introduces the research background of WNV,the research status at home and abroad,the definition and theorem of infectious disease model,and the primary research content of this thesis.The second chapter mainly analyses the vector transmission model of WNV between two populations.a mathematical model of WNV transmission which accords with the biological definition is based on the classical malaria model.The basic reproduction number of the disease is calculated to determine the standard of the disease outbreak.In the third chapter,based on the previous chapter,we add the human population into the model,which is the transmission of WNV among the mosquito-bird-human three population system,and analyze its global dynamics according to the stability of the equilibriums.The fourth chapter is the conclusion summary and the future prospect. |
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