Analysis of a Mathematical Model to Investigate the Dynamics of Dengue Fever

Abstract

In this paper, we formulated a compartmental model to investigate the dynamics of dengue fever in a population with some measure of disease control. We qualitatively and quantitatively analyzed the model and found that the model has a disease free equilibrium (DFE), an endemic equilibrium point and undergoes the phenomenon of backward bifurcation. It was also discovered that Dengue can be eliminated irrespective of the initial size of the infected population whenever the effective reproduction number is less than one. Numerical simulations were carried out on the model and effective control measures were proposed that will result in reducing the burden of the disease in the population.

Keywords: Dengue Fever, Mathematical Model, Equilibrium, Bifurcation analysis, Effective reproduction number, Stability.