Abstract: The aim of this work is to compare analytical solution of Differential Transformation Method (DTM) with in-built solutions of Runge-Kutta Method (RK4) of MAPLE 18 software on dynamical transmission of malaria disease model. Mathematical model is developed in terms of nonlinear first order ordinary differential equations. Existence and uniqueness of model solution was determined and analytical solution of the model was obtained using Differential Transform Method. In order to show the efficiency of the method we compare the analytical solutions obtained by Differential Transform Method and fourth-order Runge-Kutta method. The validity of the DTM in solving the model is established by using the computer in-built RK4. We illustrated the profiles of the solutions of each of the compartments, from which we speculate that the DTM and RK4 solutions agreed well.

Keywords: Malaria disease, Existence and Uniqueness of solution, Differential Transformation Method and Runge Kutta Method.

Title: Analytical Solution of Dynamical Transmission of Malaria disease Model Using Differential Transform Method

Author: Musibau A. Omoloye, Anietie E. Udokang, Akeem O. Sanusi, Olawale K. S. Emiola

International Journal of Novel Research in Physics Chemistry & Mathematics

ISSN 2394-9651

Vol. 9, Issue 1, January 2022 - April 2022

Page No: 1-13

Novelty Journals

Website: www.noveltyjournals.com

Published date: 27-April-2022