DYNAMICAL BEHAVIOURS OF A DISCRETIZED MODEL WITH MICHAELIS-MENTEN HARVESTING RATE
Journal of Universal Mathematics, vol.5, no.2, pp.159-176, 2022 (Peer-Reviewed Journal)
- Publication Type: Article / Article
- Volume: 5 Issue: 2
- Publication Date: 2022
- Doi Number: 10.33773/jum.1134168
- Journal Name: Journal of Universal Mathematics
- Page Numbers: pp.159-176
- Süleyman Demirel University Affiliated: Yes
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.