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language
eng
Author
Zheng, Wei School of Mathematics and Statistics, Northeast Normal University
Sugie, Jitsuro Department of Mathematics, Interdisciplinary Graduate School of Science and Engineering, ShimaneUniversity
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.
Subject
Global asymptotic stability
Lotka-Volterra predator-prey model
Weakly integrally positive
Time-varying system
Journal Title
Nonlinear Analysis : Theory, Methods & Applications
Volume
127
Start Page
128
End Page
142
ISSN
0362546X
Published Date
2015-11
DOI
DOI Date
2015-08-10
NCID
AA10637597
Publisher
Elsevier
NII Type
Journal Article
Format
PDF
Rights
Copyright © 2015 Elsevier Ltd. All rights reserved.
Text Version
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OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering