| 一类食饵具有S-型变收获率的非自治离散捕食系统渐近行为 |
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| 引用本文： | 刘波,刘志军.一类食饵具有S-型变收获率的非自治离散捕食系统渐近行为[J].生物数学学报,2012(3):499-506. |
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| 作者姓名： | 刘波 刘志军 |
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| 作者单位： | [1]湖北民族学院生物资源保护与利用湖北省重点实验室,湖北恩施445000 [2]湖北民族学院理学院,湖北恩膪445000 |
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| 基金项目： | 国家自然科学基金项目（11261017）; 教育部科学技术重点项目（210134）; 经济林木改良与资源综合利用湖北省重点实验室（2011BLKF52）; 湖北民族学院创新团队项目（MY2011T007） |
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| 摘 要： | 建立并研究了一类具有S-型变收获率的非自治离散捕食系统,应用差分不等式、Brouwer不动点定理和分析技巧分别建立了系统的持久生存性,正周期解的存在性及全局渐近稳定性的充分条件,我们还给出了具体验证例子及相应的数值模拟结果.
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| 关 键 词： | 离散捕食系统 S-型变收获率 持久生存性 正周期解 |
Asymptotic Behaviors of a Nonautonomous Discrete Predator-Prey Model with an S-type Variable Harvesting in the Prey Species |
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| LIU Bo,LIU Zhi-jun.Asymptotic Behaviors of a Nonautonomous Discrete Predator-Prey Model with an S-type Variable Harvesting in the Prey Species[J].Journal of Biomathematics,2012(3):499-506. |
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| Authors: | LIU Bo LIU Zhi-jun |
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| Institution: | 1,2) (1 Key Laboratory of Biological Resources Protection and Utilization of Hubei Province, Hubei University for Nationalities,Enshi Hubei 445000 China) (2 School of Science,Hubei University for Nationalities,Enshi Hubei 445000 China) |
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| Abstract: | Asymptotic behaviors of a nonautonomous discrete predator-prey model with an S-type varying harvesting in the prey species is investigated.With the help of difference inequality, Brouwer fixed-point theorem and analysis technique,sufficient conditions for the permanence, existence and global asymptotic stability of positive periodic solutions are derived,respectively, and moreover examples and their numerical simulations are presented. |
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| Keywords: | Discrete predator-prey system 5-type variable harvesting Permanence Positive periodic solution |
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