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language
eng
Author
Fan, Meng
Description
A predator-prey model with prey receiving time-variation of the environment is considered. Such a system is shown to have a unique interior equilibrium that is globally asymptotically stable if the time-variation is bounded and weakly integrally positive. In particular, the result tells us that the equilibrium point can be stabilized even by nonnegative functions that make the limiting system structurally unstable. The method that is used to obtain the result is an analysis of asymptotic behavior of the solutions of an equivalent system to the predator-prey model.
Subject
Global asymptotic stability
predator-prey systems
weakly integrally positive
time-variation
Journal Title
Proceedings of the American Mathematical Society
Volume
139
Start Page
3475
End Page
3483
ISSN
00029939
Published Date
2011
DOI
DOI Date
2017-05-22
NCID
AA00781790
Publisher
American Mathematical Society
NII Type
Journal Article
Format
PDF
Rights
© Copyright 2011 American Mathematical Society
Text Version
著者版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering