A comparative study of semi-analytical study of semi-analytical methods for initial value problems in Prey-Predator models

Abstract

This research analyses a prior mathematical framework that represents the prey-predator model for first order non-linear differential equations. The relevant two prey-predator models are solved analytically using variational iteration method and differential transform method. The approximate analytical expressions for the entire two prey-predator models are provided. To show their effects, a variety of model parameter types are visually depicted. Also, the tables are demonstrating the effects of the parameters on the outcomes. With this strategy, the error approximation attains relatively small values. A satisfactory fit between the numerical simulation (MATLAB) and the approximate analytical results is obtained.