Evaluating the risk of malaria transmission within the Central African Republic with the goal of stabilising and eliminating the infection

Abstract

In this paper, we formulate a multi compartmental mathematical model for human and mosquito. We construct the system of differential equations for an SEITVR for human compartment and SEI for mosquito compartment. We investigate the outbreak of malaria and effect on Central African Republic. The analysis of the compartmental model is carried out using stability analysis. Our model exhibits two equilibrium points, disease free equilibrium points and endemic equilibrium points. The next generation matrix is used to determine the basic reproduction number R0. Numerical example are provided to validate our results for both the disease free state and endemic state of each model. We believe that this investigation will be more effective on reducing malaria infection and stop spreading.