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具有Ⅳ类功能反应的离散捕食系统周期解的存在性和稳定性

Existence of Periodic Solutions and Stability for Discrete Predator-prey Systems with Type Ⅳ Functional Response
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摘要 文章讨论了一类具有Ⅳ功能反应的离散捕食系统,获得了该系统的持久性,且当系统为周期系统时得到了其周期解的存在性,并且在适当的条件下该周期解是稳定的。 The paper discusses a class of discrete predator-prey with Ⅳ functional response.A set of easily verifiable sufficient conditions is obtained for the persistent,and also the existence of periodic solution and stability under some additional conditions are obtained.
作者 张明会 高婷婷
机构地区 陇南师范高等专科学校数学系
出处 《荆楚理工学院学报》 2010年第5期33-38,43,共7页 Journal of Jingchu University of Technology
关键词 Ⅳ类功能性反应 离散捕食系 持久性 周期解 稳定性 Holling Ⅳ functional response discrete predator-prey systems persistence periodic solution stability
分类号 O175.13 [理学—基础数学]
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参考文献14

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共引文献16

荆楚理工学院学报
2010年 第5期

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