| 具有Holling Ⅲ类功能反应捕食系统收获模型的持久性 |
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| 引用本文： | 肖琳,郑唯唯.具有Holling Ⅲ类功能反应捕食系统收获模型的持久性[J].纺织高校基础科学学报,2012(4):425-428. |
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| 作者姓名： | 肖琳 郑唯唯 |
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| 作者单位： | 西安工程大学理学院 |
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| 基金项目： | 陕西省教育厅自然科学基金资助项目(11JK0502) |
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| 摘 要： | 研究了一类具有双线性密度制约Holling Ⅲ类功能反应的非自治捕食收获系统模型.利用比较原理,得到系统一致持久的充分条件.通过构建Liapunov函数,运用Barbalart引理,得到了对应周期系统存在惟一全局渐近稳定正周期解的充分条件.
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| 关 键 词： | 一致持久性 HollingⅢ类功能反应 全局渐近稳定 双线性密度制约 |
Persistence for the harvest predator-prey system with Holling Ⅲ functional response |
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| XIAO Lin,ZHENG Wei-wei.Persistence for the harvest predator-prey system with Holling Ⅲ functional response[J].Basic Sciences Journal of Textile Universities,2012(4):425-428. |
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| Authors: | XIAO Lin ZHENG Wei-wei |
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| Affiliation: | (School of Science,Xi′an Polytechnic University,Xi′an 710048,China) |
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| Abstract: | In this paper,a nonautonomous predator-prey system with double linear density restriction and HoUingⅢ functional response which has harvest is studied. By using the comparison principle, the suffi- cient conditions of uniform persistence for the system are obtained. By structuring the Liapunov function and using Barbalart lemma, the sufficient conditions of the existence and uniqueness of periodic solutions corresponding the cycle system which are the ~lobal asymptotic stability are got. |
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| Keywords: | uniform persistence Holling Ⅲ functional response global asymptotic stability double line-ar density restriction |
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