Semi - Analytical Solution of Modelled Typhoid Fever Disease

Abstract

To analyze the optimal control of the Typhoid fever virus a mathematical modeling was developed by Getachew Teshome Tilahun. We have approached a Homotopy Perturbation Method to solve a linear differential equation. An analytical solution of Susceptible People(S), Infected People (I), Carrier People (C), Recovered People (R), and Bacteria People ( is obtained and compared with simulation results. A significant agreement is produced when approximate analytical results are compared to numerical simulation. The treatment rate of infectious disease (, Natural death rate (and typhoid-induced death rates (α) are discussed.