Mathematical Modeling and Simulation for the Dengue Fever Epidemic

Abstract

A deterministic model for the dengue disease is proposed and analyzed. In modeling to examine transmission dynamics of the disease, threshold quantity like re-breeding ratio $R_{0}$ and equilibrium states such as disease free equilibrium $E_{0}$ and disease present equilibrium $E^{*}$ are found. Lastly, numerical simulations for the state variables susceptible, infected and recovered human populations are presented for the disease epidemic.