Solution of a deterministic mathematical model of typhoid fever by variational iteration method

Abstract

The aim of this paper is to apply Variational Iteration Method (VIM) to solve typhoid fever model for a given constant population. This mathematical model is described by nonlinear first order ordinary differential equations. First, we find the solution of this model by using Variational Iteration Method (VIM). In order to show the efficiency of the method we compare the solutions obtained by VIM and RK4. The validity of the VIM in solving the model is established by using the computer in-built classical fourth-order Runge-Kutta method. We illustrated the profiles of the solutions of each of the compartments, from which we speculate that the VIM and RK4 solutions agreed well.

Keywords: Typhoid Fever, Variational Iteration Method, Runge-Kutta Method