| 有毒物影响和Beddington-DeAngelis型功能性反应的捕食系统的全局吸引性 |
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| 引用本文： | 朱晶. 有毒物影响和Beddington-DeAngelis型功能性反应的捕食系统的全局吸引性[J]. 生物数学学报, 2013, 0(4): 716-724 |
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| 作者姓名： | 朱晶 |
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| 作者单位： | 鞍山师范学院数学与信息科学学院,辽宁鞍山114007 |
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| 摘 要： | 利用微分方程比较原理，重合度理论中Mawhin’s延拓定理，Lya．punov泛函和Barbalat引理，研究了一类有毒物影响和Beddington—DeAngelis型功能性反应的时滞两种群捕食者-食饵系统．我们得到了该系统一致持久性和其周期系统存在唯一全局渐近稳定的周期解的充分条件．改进了范猛和唐贵坚的相关结果．
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| 关 键 词： | 捕食者-食饵系统 毒物影响 持久性 周期解 全局吸引性 重合度理论 |
Global Attractivity of a Predator-Prey System with Toxicants Effect and Beddington-DeAngelis Functional Response |
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| ZHU Jing. Global Attractivity of a Predator-Prey System with Toxicants Effect and Beddington-DeAngelis Functional Response[J]. Journal of Biomathematics, 2013, 0(4): 716-724 |
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| Authors: | ZHU Jing |
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| Affiliation: | ZHU Jing (Department of Mathematics, Anshan Normal University, Anshan Liaoning 114007 China) |
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| Abstract: | In this paper, by applying Comparison Theorem of differential equation, the Mawhin＇s Continuation Theorem of coincidence degree theory, Lyapunov Function and Barbalat Lemma, a class delay predator-prey system with toxicants effect and Beddington-DeAngelis func- tional response is studied. We obtain the sufficient conditions which guarantee permanent of the system. Further, if the system is a periodic one, it can have a strictly positive periodic solution which is global asmptotic stable under appropritions. Which improve Fan[6] and Tang[7] mutuality results. |
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| Keywords: | Predator-prey system attractivity Coincidence degree theory Toxicants effect Persistence Periodic solution Global |
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