Stability property of the predator-free equilibrium of a predator-prey-scavenger model with fear effect and quadratic harvesting

Sijia Lin, Qianqian Li, Qun Zhu, Fengde Chen

Abstract


This article investigates the stability property of predator-free equilibrium of a predator-prey-scavenger model with fear effect and quadratic harvesting. The model was proposed by Mohammed Abdellatif Ahmed and Dahlia Khaled Bahlool (The influence of fear on the dynamics of a prey-predator-scavenger model with quadratic harvesting, Commun. Math. Biol. Neurosci., 2022, 2022: 62). By applying the standard comparison theorem and fluctuation lemma, we show that the conditions which ensure the locally asymptotically stable of predator-free equilibrium are enough to ensure global attractivity. Our result complements and supplements one of the main results of Mohammed Abdellatif Ahmed and Dahlia Khaled Bahlool.

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Published: 2022-09-26

How to Cite this Article:

Sijia Lin, Qianqian Li, Qun Zhu, Fengde Chen, Stability property of the predator-free equilibrium of a predator-prey-scavenger model with fear effect and quadratic harvesting, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 95

Copyright © 2022 Sijia Lin, Qianqian Li, Qun Zhu, Fengde Chen. 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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