The effects of vaccination, vector controls and media on dengue transmission dynamics with a seasonally varying mosquito population
Meksianis Z. Ndii
Abstract
Although numerous studies have attempted to investigate the effects of dengue intervention on its transmission dynamics, little work has considered the effects of implementing multiple dengue elimination strategies in a seasonally varying mosquitoes population, which is the focus of this work. A non-autonomous dengue mathematical model with a seasonally varying mosquito population, vector control, vaccination and media has been formulated and studied. We found that the disease-free equilibrium is globally asymptotically stable when the R0<1 and there exists at least a positive ω-periodic solution when R0>1. Furthermore, the implementation of continuous vaccination or both (vaccination and vector controls), and the efficacy of media campaign, which may raise the individual’s awareness, determines the reduction of dengue infections. Moreover, the rate of waning immunity is one of the influential factor contributing to an increase in dengue infections, which indicates the possibility of obtaining higher number of secondary infections.