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language
eng
Author
Saito, Yasuhisa
Lee, Yong-Hoon
Description
This paper considers a Lotka–Volterra predator–prey model with predators receiving an environmental time-variation. For such a system, a unique interior equilibrium is shown to be globally asymptotically stable if the time-variation is bounded and weakly integrally positive. Our result tells that the equilibrium can be stabilized even by nonnegative functions that make the limiting system structurally unstable. Numerical simulations are also shown to illustrate the result and to suggest that cases with time-variation acting on predators have larger-scale convergence to the equilibrium than population dynamics with time-variation acting on prey.
Subject
Global asymptotic stability
Predator-prey systems
Weakly integrally positive
Time-variation
Journal Title
Applied mathematics letters
Volume
24
Issue
12
Start Page
1973
End Page
1980
ISSN
08939659
Published Date
2011-12
DOI
DOI Date
2017-05-22
NCID
AA1066807X
Publisher
Elsevier
NII Type
Journal Article
Format
PDF
Rights
Copyright © 2011 Elsevier Ltd. All rights reserved.
Text Version
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Interdisciplinary Graduate School of Science and Engineering