File | |
language |
eng
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Author |
Saito, Yasuhisa
Lee, Yong-Hoon
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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.
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Subject | Global asymptotic stability
Predator-prey systems
Weakly integrally positive
Time-variation
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Journal Title |
Applied mathematics letters
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Volume | 24
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Issue | 12
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Start Page | 1973
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End Page | 1980
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ISSN | 08939659
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Published Date | 2011-12
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DOI | |
DOI Date | 2017-05-22
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NCID | AA1066807X
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Publisher | Elsevier
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NII Type |
Journal Article
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Format |
PDF
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Rights | Copyright © 2011 Elsevier Ltd. All rights reserved.
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Text Version |
著者版
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OAI-PMH Set |
Interdisciplinary Graduate School of Science and Engineering
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