Modelling and stability analysis of the competitional ecological model with harvesting
Abstract
The interplay of predation, competition between species and harvesting is one of the most critical aspects of the environment. This paper involves exploring the dynamics of four species' interactions. The system includes two competitive prey and two predators; the first prey is preyed on by the first predator, with the former representing an additional food source for the latter. While the second prey is not exposed to predation but rather is exposed to the harvest. The existence of possible equilibria is found. Conditions of local and global stability for the equilibria are derived. To corroborate our findings, we constructed time series to illustrate the existence and the stability of equilibria numerically by varying the different values of the system's parameters. The results show that system movement could happen around the positive equilibria, if the system stability conditions are met.
- Published
- 26 May 2022
- Volume
- 2022 (2022)
- License
- CC BY 3.0
Copyright © 2022 Marwa Al Nuaimi, Shireen Jawad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. Al Nuaimi, S. Jawad, Modelling and stability analysis of the competitional ecological model with harvesting, Commun. Math. Biol. Neurosci. 2022 (2022), 47. https://doi.org/10.28919/cmbn/7450
BibTeX
@article{Nuaimi2022,
author = {Al Nuaimi, Marwa and Jawad, Shireen},
title = {Modelling and stability analysis of the competitional ecological model with harvesting},
journal = {Commun. Math. Biol. Neurosci.},
volume = {2022},
year = {2022},
pages = {47},
doi = {10.28919/cmbn/7450}
}