DYNAMICAL BEHAVIOURS OF A DISCRETIZED MODEL WITH MICHAELIS-MENTEN HARVESTING RATE

Year 2022, Volume: 5 Issue: 2, 159 - 176, 31.07.2022

Nihal Özdoğan , Mevlüde Yakıt Ongun

https://doi.org/10.33773/jum.1134168

Cited By: 2

Abstract

In this paper, we introduced nonstandard finite difference scheme (NSFD) for solving the continuos model with Michaelis-Menten harvesting rate. We have seen that the proposed scheme preserve local stability and positivity. Stability analysis of each fixed point of the discrete time model has been proven. Also, numerical comparisons were made between the nonstandard finite difference method and the other methods.

Keywords

Nonstandard finite difference scheme, harvesting, equilibrium points.

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