Dynamics And Control Strategies Of Mosquito Population With Wolbachia And Mosquito Borne Diseases

There exists frequently outbreak mosquito-borne diseases in tropical and subtropical regions of the world,such as West Nile fever,Dengue fever,Malaria,which causes a huge threat for people's health.Facing such a severe situation,it is necessary to understand the transmission mechanisms and epidemiological studies of mosquito-borne diseases,and assess prevention and control strategies.Differential equations models are established to study mosquito population and the dynamics of mosquitoborne diseases in this paper.Firstly,Wolbachia can be used to control mosquito-borne diseases by shrinking mosquitoes that infect Wolbachia.We formulate a basic stage-structured model to study the effect of wolbachia infection on wild mosquito population.We compute the threshold values which determine the existence and stability of the equilibria,and show that Hopf bifurcation is caused by maturation delay and seasonality.Numerical results are carried out to research the effect of different release strategies on the mosquito population.The optimal release strategy of sterile mosquitoes with Wolbachia is established to control the mosquito population which transmits the mosquito-borne diseases.Secondly,West Nile virus transmission dynamics model with bird to bird transmission of virus is formulated,here birds are reservoir hosts and culicine mosquitoes are vectors.The effect of bird to bird transmission ofvirus on the West Nile Virus transmission is considered.The basic reproduction number0 R is derived.The result shows that the disease-free equilibrium is globally asymptotically stable if 10R? while if 10R(29)then there is a positive equilibrium which is globally asymptotically stable.The numerical simulation results show that bird to bird transmission has certain influence on the transmission of West Nile virus.