DYNAMICAL BEHAVIOURS OF A DISCRETIZED MODEL WITH MICHAELIS-MENTEN HARVESTING RATE-Reference-Cited by-同舟云学术

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

Published:2022-07-29 Issue: Volume: Page:
ISSN:2618-5660
Container-title:Journal of Universal Mathematics
language:en
Short-container-title:JUM

Author:

ÖZDOĞAN Nihal¹,YAKIT ONGUN Mevlüde²

Affiliation:

1. BURSA TEKNİK ÜNİVERSİTESİ, MÜHENDİSLİK VE DOĞA BİLİMLERİ FAKÜLTESİ

2. SÜLEYMAN DEMİREL ÜNİVERSİTESİ

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.

Publisher

Journal of Universal Mathematics

Subject

General Medicine

Reference34 articles.

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