A fractional calculus approach to Rosenzweig-MacArthur predator-prey model and its solution

TL;DR

This paper introduces an analytical solution to a fractional predator-prey model using the homotopy perturbation method, demonstrating efficient and accurate results for different cases in ecological modeling.

Contribution

It presents the first analytical solution to a fractional predator-prey model with logistic prey growth and type II predation response using homotopy perturbation method.

Findings

Accurate solutions achieved with few iterations.

Numerical solutions illustrate various particular cases.

Fractional calculus enhances ecological modeling accuracy.

Abstract

In this paper we present analytical solution of a fractional order predator-prey model, where prey grows logistically and predation occurs following type II response function, by homotopy perturbation method. Numerical solutions are presented to illustrate different particular cases. Our computational results show that accurate solution may be obtained with few iterations.