| 功能反应函数为x~(0.5)的食饵-捕食系统的渐进性 |
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| 引用本文： | 张利军,霍海峰,陈菊芳. 功能反应函数为x~(0.5)的食饵-捕食系统的渐进性[J]. 陕西师范大学学报(自然科学版), 1999, 0(4) |
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| 作者姓名： | 张利军 霍海峰 陈菊芳 |
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| 作者单位： | 陕西师范大学数学系!陕西西安710062 |
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| 摘 要： | 研究了功能反应为 x 的食饵-捕食系统的渐进性.通过构造该系统的最终有界域和利用Lyapunov 函数方法,证明了在适当的条件下,该系统是持续生存的,并且若该系统为周期系统,则存在惟一渐进稳定的正周期解.
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| 关 键 词： | 常微分方程 功能反应 最终有界域 全局渐进稳定 |
Asymptotic behavior of predato-prey system with functional reaction function x~(0.5) |
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| ZHANG Li jun,HUO Hai feng,CHEN Ju fang. Asymptotic behavior of predato-prey system with functional reaction function x~(0.5)[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1999, 0(4) |
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| Authors: | ZHANG Li jun HUO Hai feng CHEN Ju fang |
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| Abstract: | This paper investigates the predator prey system with functional reaction function x . By constructing the ultimately bounded domain and Lyapunov function, it is proved that the system can be made persistent under some appropriate conditions. Further, if the system is a periodic system, it can have a strictly positive periodic orbit which is globally asymptotic stability under the appropriate conditions. |
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| Keywords: | ordinary differential equation functional reaction ultimately bounded domain globally asymptotic stability |
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