Global asymptotic stability for predator-prey systems whose prey receives time-variation of the environment
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Abstract
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.
Journal
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- Proceedings of the American Mathematical Society
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Proceedings of the American Mathematical Society 139 3475-3483, 2011
American Mathematical Society
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Keywords
Details 詳細情報について
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- CRID
- 1050001338486216320
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- NII Article ID
- 120006309264
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- NII Book ID
- AA00781790
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- ISSN
- 00029939
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- Web Site
- http://ir.lib.shimane-u.ac.jp/38879
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- Text Lang
- en
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- Article Type
- journal article
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- Data Source
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- IRDB
- CiNii Articles