On application of differential transformation method to solve host-vector-predator system

Abstract

The mathematical model has been used to understand many phenomena and natural interactions. Since including many variables and parameters, the complex models are not easy to find analytical solutions. The Differential Transformation Method (DTM) is an alternative numerical method used to solve a system of differential equations. In this paper, we develop the DTM for the Host-Vector-Predator model. The models consist of systems of differential equations describing the plant disease spread taking into account the biological agent as a predator for the vector. To illustrate the capability of the methods, some simulations with different parameters have been constructed. Numerical comparison showed good agreement with Runge-Kutta Method. These results show that the technique introduced here is accurate and easy to apply.