Dengue Transmission Model with Age-Dependent Survival Rates in the Presence of Wolbachia Infection

摘要

In this paper we devise a mathematical model for the transmission of dengue disease with an assumption that there is an age-dependent function describing the survivorship of individuals for both human and mosquito populations. We also assume that there is a wolbachia bacterial infection into the mosquito population, reflected by the decreasing of mosquito's life expectancy and biting rate. We derive the basic reproduction number and re-establish the well known rule of thumb of the minimum vaccination coverage to control a disease in the context of vector-borne disease with age-dependent survival rates. The effect of the presence of wolbachia infection in the basic reproduction number of dengue is also discussed, to explore the infection as a potential biological control to eliminate the disease. We compare the strategy of wolbachia introduction with the existing strategy such as vaccination.