Solutions to the problem of prey and predator and the epidemic model via differential transform method
Abstract
Purpose
The purpose of this paper is to solve both the prey and predator problem and the problem of the spread of a non‐fatal disease in a population which is assumed to have constant size over the period of the epidemic.
Design/methodology/approach
The differential transform method (DTM) is employed to compute an approximation to the solutions of the systems of nonlinear ordinary differential equations of these problems.
Findings
Results obtained using the scheme presented here agree well with the results obtained by the Adomian decomposition and power series methods. Some plots are presented to show the reliability and simplicity of the method.
Originality/value
This paper is believed to represent a new application for DTM on solving systems of nonlinear ordinary differential equations.
Keywords
Citation
Suat Erturk, V. and Momani, S. (2008), "Solutions to the problem of prey and predator and the epidemic model via differential transform method", Kybernetes, Vol. 37 No. 8, pp. 1180-1188. https://doi.org/10.1108/03684920810884973
Publisher
:Emerald Group Publishing Limited
Copyright © 2008, Emerald Group Publishing Limited