Effects Of Reduced Larval Mosquito Survival On Wolbachia Infection And Dengue Virus Transmission

Biocontrol of Wolbachia establishment in wild mosquito populations has become a potential way to prevent the spread of dengue fever and other mosquitoborne diseases.In this paper,we consider the impacts of some key factors on Wolbachia infection and dengue transmission,especially the impact of reduced immature Wolbachia-infected mosquito survival.First,we establish a Wolbachiainfection model.Our results show that reduced immature Wolbachia-infected mosquito survival is not benefit for Wolbachia establishment and will induce more Wolbachia-infected male mosquitoes to be released.And the existence and stability of equilibria,the analysis of backward bifurcation as well as the method for estimating the release threshold of infected mosquitoes from the stable manifolds of saddle points have been studied.Besides,we establish an optimal control model by introducing a control variable to simulate the continuous(daily)releases of Wolbachia-infected male mosquitoes,and find the optimal control.This model can be used to determine the optimal release strategy for infected male mosquitoes.Moreover,we establish a dengue transmission model incorporating Wolbachia.The results indicate that reduced immature Wolbachia-infected mosquito survival is not conducive to control dengue transmission.We also calculate the basic reproduction number for dengue,and prove that when it is less than unity,dengue-free equilibrium is locally asymptotically stable.In addition,the model contains three parameters that simulate Wolbachia inhibiting the transmission of dengue virus,and the relationship between the basic reproduction number and these three parameters has been explored.