Stability analysis of a competitive ecological system in a polluted environment

Saja Dawud, Shireen Jawad

Abstract


The interplay of species in a polluted environment is one of the most critical aspects of the ecosystem. This paper explores the dynamics of the two-species Lokta–Volterra competition model. According to the type I functional response, one species is affected by environmental pollution. Whilst the other degrades the toxin according to the type II functional response. All equilibrium points of the system are located, with their local and global stability being assessed. A numerical simulation examination is carried out to confirm the theoretical results. These results illustrate that competition and pollution can significantly change the coexistence and extinction of each species.

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Published: 2022-08-01

How to Cite this Article:

Saja Dawud, Shireen Jawad, Stability analysis of a competitive ecological system in a polluted environment, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 70

Copyright © 2022 Saja Dawud, 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.

Commun. Math. Biol. Neurosci.

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