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Asymptotic Behavior of a Predator-Prey Population Model with Stage-Structure
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 1
- DOI:
- 10.3969/j.issn.1001-9626.2007.01.004
- Key Word:
- 阶段结构;持续生存;稳定性;周期轨;Stage structure;Permanence;Stability;Periodic orbit
Abstract： This paper studies the asymptotic behavior of a predator-prey system with stage structure. It is assumed that the transition rate from immature stage to mature stage depends on the density of immature individuals. Conditions for the permanence and extinction of the predator are obtained. It is also found that the model admits an orbitally asymptotically stable periodic orbit.
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