Application of Differential Transform Method in Solving a Typhoid Fever Model

  • O J Peter Department of Mathematics, University of Ilorin, Ilorin, Kwara State, Nigeria.
  • M. O. Ibrahim Department of Mathematics, University of Ilorin, Ilorin, Kwara State, Nigeria
Keywords: Typhoid Fever , Differential Transform Method, Runge-Kutta Method.

Abstract

In this paper, we present a deterministic model on the transmission dynamics of typhoid fever disease. Differential Transform Method (DTM) is employed to attempt the series solution of the model. The validity of the DTM in solving the model is established by classical fourth-order Runge-Kutta method implemented in Maple 18. The comparism between DTM solution and Runge-Kutta(RK4) were performed. The results obtained confirm the accuracy and potential of the DTM to cope with the analysis of modern epidemics.

Published
2018-04-12
How to Cite
Peter, O. J., & Ibrahim, M. O. (2018). Application of Differential Transform Method in Solving a Typhoid Fever Model. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2017, 250 - 260. Retrieved from http://ijmso.unilag.edu.ng/article/view/12
Issue
Vol 2017
Section
Articles

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