| 具B-D功能反应和阶段结构的捕食系统研究 |
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| 引用本文： | 赵磊,郑唯唯.具B-D功能反应和阶段结构的捕食系统研究[J].纺织高校基础科学学报,2012,25(2):141-144. |
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| 作者姓名： | 赵磊 郑唯唯 |
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| 作者单位： | 西安工程大学理学院,陕西 西安,710048 |
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| 摘 要： | 研究了一类具有B-D功能反应及捕食者和食饵均具有阶段结构的两种群非自治捕食系统,通过微分方程定性与稳定性理论和Brouwer定理,得到了系统的一致持久性和周期系统存在惟一全局渐近稳定的周期解的充分条件
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| 关 键 词： | 功能反应 阶段结构 持久性 周期解 全局渐近稳定性 |
A predator-prey system with B-D functional response and stage structure |
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| ZHAO Lei
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ZHENG Wei-wei.A predator-prey system with B-D functional response and stage structure[J].Basic Sciences Journal of Textile Universities,2012,25(2):141-144. |
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| Authors: | ZHAO Lei ZHENG Wei-wei |
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| Affiliation: | (School of Science,Xi′an Polytechnic University,Xi′an 710048,China) |
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| Abstract: | A nonautonomous predator-prey model with B-D functional response and stage structure is studied.By the differential equation qualitative and stability theory and Brouwer theory,it is proved that the uniformly persistence for the predator-prey model under the appropriate conditions and if the system is a periodic one,it can have a strictly positive periodic solution which is global asymptotic under the appropriate conditions. |
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| Keywords: | functional response stage-structure persistence period solution global asymptotic stability |
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