Effects Of Releasing Sterile Male Mosquitoes On Dengue Virus Transmission

This thesis mainly studies the transmission dynamics of dengue virus using sterile male mosquitoes.According to the development of the wild mosquitoes,the mosquito population model is developed.Existence and stability of the equilibrium points of the model are analyzed by the Lyapunov function and the Routh-Hurwitz theorem,and the condition for the extinction of wild mosquitoes is given.The dengue transmission model between human and wild mosquitoes with different infection stages is developed.Equilibrium points and the basic reproduction number in the model are calculated.The number of human and female mosquitoes at each infection stage varying with time is plotted.The parameters that are sensitive to the basic reproduction number in the model are found by sensitivity analysis.The model for male sterile mosquito and wild mosquito population,and the dengue virus transmission model involving sterile male mosquitoes,wild mosquitoes and humans are established.The existence condition of wild mosquitoes is derived by solving basic reproduction number of the mosquito model,and the existence and stability of equilibrium points are analyzed.This thesis calculates the disease-free equilibrium point,local equilibrium point and the basic reproduction number of the dengue model.In the numerical simulation,the number of human and female mosquitoes at each stage of infection with the release rate of1000 per day is plotted,and the number of infected people under different release rate is compared.The result shows that the release of sterile male mosquitoes could effectively control the transmission of dengue virus.This thesis provides theoretical guidance for further research on the mitigation strategies of dengue virus.