Note on the Stability Property of the Vanishing Equilibrium Point of an Ecological System Consisting of a Predator and Stage Structure Prey
Year: 2019
Author: Xiaoyan Huang, Fengde Chen
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 139–144
Abstract
We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function and applying the differential inequality theory, we show that the conditions which ensure the local stability of the vanishing point are enough to ensure its global stability. Our result supplements and complements some known results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2019-AAM-18072
Annals of Applied Mathematics, Vol. 35 (2019), Iss. 2 : pp. 139–144
Published online: 2019-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 6
Keywords: stage structure predator-prey global stability.