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

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 Metho

Mathematical model for the control of measles

We proposed a mathematical model of measles disease dynamics with vaccination by considering the total number of recovered individuals either from natural recovery or recovery due to vaccination. We tested for the existence and uniqueness of solution for the model using the Lipchitz condition to ascertain the efficacy of the model andproceeded to determine both the disease free equilibrium (DFE) and the endemic equilibrium (EE) for the system of the equations and vaccination reproduction number are given. Numerical simulation of the model shows that vaccination is capable of reducing the number of exposed and infectious population.Keywords: Measles, Vaccination, Equilibrium States, Basic Reproduction Numbe