Application of Homotopy Perturbation Method to an Eco-epidemic Model

TL;DR

This paper demonstrates the use of the Homotopy Perturbation Method to solve a complex eco-epidemic model involving coupled non-linear equations, providing analytical and numerical validation.

Contribution

It introduces the application of HPM to a biosystem model with coupled non-linear equations, showcasing its effectiveness and reliability.

Findings

HPM successfully solves the eco-epidemic model.

Numerical results confirm analytical solutions.

The method proves reliable for complex biosystem equations.

Abstract

In this article, we apply Homotopy Perturbation Method (HPM) for solving three coupled non-linear equations which play an important role in biosystems. To illustrate the capability and reliability of this method. Numerical example is given which confirms our analytical findings.