Mathematics of dengue transmission dynamics: Roles of vector vertical transmission and temperature fluctuations.

ABSTRACT: A new deterministic model is designed and used to gain insight into the effect of seasonal variations in temperature and vector vertical transmission on the transmission dynamics of dengue disease. The model, which incorporates (among many other features) the dynamics of the immature dengue-competent mosquitoes, vertical transmission in the vector population, density-dependent larval mortality and temperature effects, is rigorously analysed and simulated using data relevant to the disease dynamics in Chiang Mai province of Thailand. The non-trivial disease-free equilibrium of the model is shown to be globally-asymptotically stable when the associated basic reproduction number of the model is less than unity. Numerical simulations of the model, using data relevant to the disease dynamics in

SUBMITTER: Taghikhani R 

PROVIDER: S-EPMC6326238 | biostudies-literature | 2018

REPOSITORIES: biostudies-literature