著者 |
Fan, Meng
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内容記述(抄録等) | 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.
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主題 | Global asymptotic stability
predator-prey systems
weakly integrally positive
time-variation
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掲載誌情報 |
Proceedings of the American Mathematical Society
139
, 3475
- 3483
, 2011
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出版者 | American Mathematical Society
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権利関係 | © Copyright 2011 American Mathematical Society
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