WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 21, 2022
Stability Property of the Boundary Equilibria of an Ecological Model of Mutualism Between Two Species with a Mortal Predator
Authors: , ,
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.
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Pages: 339-346
DOI: 10.37394/23202.2022.21.37