Solution of an SIR Infectious Disease Model by Differential Transform Method

M. L. Olaosebikan, A. A. Victor, O. A. Uwaheren, T. A. Ayoola, M. O. Ajisope

Abstract


A mathematical model on the transmission dynamics of infectious disease using the concept of differential equation was developed. Differential Transform Method (DTM) was employed to attempt the series solution of the model. The validity of the DTM in solving the model was 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.


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