Theoretical Model for the Control of Lassa Fever and Transmission Using Homotopy Perturbation Method

Abstract

       A mathematical model for the dynamics of Lassa fever transmission and control is presented. The model is a modified form of the traditional SIR model for infectious disease. We employed the modified Homotopy perturbation method to solve and analyze the transmission of the SIR model of this disease. For all time values, the analytical expression of the population of the susceptible group S(t), the infected group I(t), and the recovered group R(t) is derived. The impact of various parameters is addressed. The numerical simulation is carried out using MATLAB and compared with our analytical results.