Mathematical Model of Dengue Fever Incorporating Public Health Interventions

Abstract

This paper studies the spread of dengue fever in a mathematical model that incorporates data on public health interventions. In this model, the human population is divided into three types of individuals: Susceptible (S_h), Infected (I_h)??and Recovered (R_h).?? The mosquito population is divided into two types: Susceptible??(S_v) and Infected (I_v). The model determines the reproduction number (R_0)??and provides analysis of epidemic and endemic equilibrium points. Numerical simulations are used to verify the analysis, and optimal solutions are computed by using an optimal control study. MATLAB software was used for computations.