| 具时滞和阶段结构的非自治捕食系统的持续性与全局稳定性 |
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| 引用本文： | 王育全.具时滞和阶段结构的非自治捕食系统的持续性与全局稳定性[J].生物数学学报,2010(2):233-240. |
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| 作者姓名： | 王育全 |
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| 作者单位： | 南京财经大学应用数学系,江苏南京210046 |
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| 基金项目： | 国家自然科学基金（10671063）;江苏省高校自然科学基金（08BJK110004）资助项目 |
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| 摘 要： | 研究了一类具有时滞和阶段结构的HollingⅣ型捕食系统的持续性,通过构造合适的Lyapunov函数讨论了这类系统的全局稳定性.
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| 关 键 词： | Holling Ⅳ型功能反应 时滞 阶段结构 持续性 全局稳定性 |
Permanence and Global Stability of a Nonautonomous Predator-Prey Systems with Delays and Stage Structure |
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| WANG Yu-quan.Permanence and Global Stability of a Nonautonomous Predator-Prey Systems with Delays and Stage Structure[J].Journal of Biomathematics,2010(2):233-240. |
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| Authors: | WANG Yu-quan |
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| Institution: | WANG Yu-quan (Department of Applied Mathematics, Nanjing University of Finance and Economies Nanjing Jiangsu 219046 China) |
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| Abstract: | In his paper, the pemanence of the Holling type-Ⅳ predator-prey system with delays and stage structure for prey is discussed. By constructing a suitable Lyapunov function, the sufficient conditions are obtained to guarantee the global stability of this system. |
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| Keywords: | Holling type-Ⅳ functional response Delays Stage structure Permanence Global stability |
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