Stability Property of the Boundary Equilibria of an Ecological Model of Mutualism Between Two Species with a Mortal Predator-Reference-Cited by-同舟云学术

Stability Property of the Boundary Equilibria of an Ecological Model of Mutualism Between Two Species with a Mortal Predator

Published:2022-12-31 Issue: Volume:21 Page:339-346
ISSN:2224-2678
Container-title:WSEAS TRANSACTIONS ON SYSTEMS
language:en
Short-container-title:

Author:

Li Xiaoran¹,Yue Qin¹,Chen Fengde²

Affiliation:

1. College of Finance and Mathematics West Anhui University Yueliang Dao, West of Yunlu Bridge, Lu An, An Hui, CHINA

2. College of Mathematics and Statistics Fuzhou University No. 2, wulongjiang Avenue, Minhou County, Fuzhou CHINA

Abstract

This article investigates the stability property of the boundary equilibria of an ecological model of mutualism between two species with a mortal predator. The model was proposed by Srinivasarao Tote (On an ecological model of mutualism between two species with a mortal predator, Applications and Applied Mathematics: An International Journal, 15(2)(2020): 1309-1322). We first give two numeric examples to show that the main results of Tote may not be correct. Then, by applying the standard comparison theorem, we obtain a set of sufficient conditions which ensure the global attractivity of the predator-washed state. We also demonstrate that the second mutual species washed state is unstable. Our results complement and supplement the main results of Srinivasarao Tote.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

Computer Science Applications,Control and Systems Engineering

Reference22 articles.

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