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ファイル
言語
英語
著者
Saito, Yasuhisa
Lee, Yong-Hoon
内容記述(抄録等)
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.
主題
Global asymptotic stability
Predator-prey systems
Weakly integrally positive
Time-variation
掲載誌名
Applied mathematics letters
24
12
開始ページ
1973
終了ページ
1980
ISSN
08939659
発行日
2011-12
DOI
DOI公開日
2017-05-22
NCID
AA1066807X
出版者
Elsevier
資料タイプ
学術雑誌論文
ファイル形式
PDF
権利関係
Copyright © 2011 Elsevier Ltd. All rights reserved.
著者版/出版社版
著者版
部局
(旧組織)大学院総合理工学研究科