| File | |
| language |
eng
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| Author |
Zheng, Wei
School of Mathematics and Statistics, Northeast Normal University
Sugie, Jitsuro
Department of Mathematics, Interdisciplinary Graduate School of Science and Engineering, ShimaneUniversity
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| Description | The purpose of this paper is to present a necessary and sufficient condition which guarantees that an interior equilibrium of a certain predator–prey system is globally asymptotically stable. This ecological system is a model of Lotka–Volterra type whose prey population receives time-variation of the environment. We assume that the time-varying coefficient is weakly integrally positive and has a weaker property than uniformly continuous. Our necessary and sufficient condition is expressed by an improper double integral on the time-varying coefficient. Our work is inspired by the study of the stability theory for damped linear oscillators.
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| Subject | Global asymptotic stability
Lotka-Volterra predator-prey model
Weakly integrally positive
Time-varying system
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| Journal Title |
Nonlinear Analysis : Theory, Methods & Applications
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| Volume | 127
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| Start Page | 128
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| End Page | 142
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| ISSN | 0362546X
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| Published Date | 2015-11
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| DOI | |
| DOI Date | 2015-08-10
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| NCID | AA10637597
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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 © 2015 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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