Stability Analysis of Zika – Malaria Co-infection Model for Malaria Endemic Region

Abstract

This article proposes a system of nine nonlinear dynamical model to study transmission dynamics of both Zika and Malaria in malaria-endemic areas such as Kedougou in the Southeastern part of Senegal and other parts of the world where it is possible to have co-infection of the two diseases simultaneously. The model is divided into three sub-models: Zika only, Malaria only and both Zika-Malaria to address the best possible strategy to control both diseases concurrently. Stability analysis was performed on the model to determine the disease-free and the endemic equilibria. Sensitivity analysis on the basic reproduction number indicated that by improving the recovery rate of both diseases, the basic reproduction number can be reduced considerably. It is also confirmed from Fig. 5 that, the best approach to control or eliminate the diseases is to improve the recovery rate of both diseases simultaneously. Thus increasing recovery rates are shown to have great impact in decreasing the basic reproduction number.