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非自治比率依赖型捕食-食饵系统的定性分析 被引量:3

Qualitative analysis of a non-autonomous ratio-dependent predator-prey system
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摘要 对一类具有HollingⅢ类功能性反应的非自治比率依赖型捕食-食饵系统进行了定性分析.详细考察了系统的正不变性、最终有界性、非持续生存、持久性、灭绝性及全局渐近稳定性. Qualitative analysis was given for a kind of non-autonomous ratio-dependent predator-prey system with Holling type Ⅲ functional response. The positive invariant property, eventual boundedness, non-persistence, permanence, extinction, and globally asymptotic stability of the system was investigated.
机构地区 天津大学数学系
出处 《兰州理工大学学报》 CAS 北大核心 2006年第1期138-141,共4页 Journal of Lanzhou University of Technology
基金 国家自然科学基金(10371091 10001030) 南开大学天津大学刘徽应用数学中心基金(T33)
关键词 正不变性 全局渐近稳定性 持久性 positive invariant globally asymptotic stability permanence
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  • 1Wu-jun Sun, Zhi-dong Teng, Yuan-hong YuDepartment of Applied Mathematics. Shanghai Jiaotong University, Shanghai 200030, ChinaDepartment of Mathematics, Xinjiang University. Urumqi 830046.Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China.Permanence in Nonautonomous Predator-prey Lotka-Volterra Systems[J].Acta Mathematicae Applicatae Sinica,2002,18(3):411-422. 被引量:2

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同被引文献9

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  • 7滕志东,陈兰荪.高维时滞周期的Kolmogorov型系统的正周期解[J].应用数学学报,1999,22(3):446-456. 被引量:55
  • 8刘艳,秦丽华,樊小琳.一类非自治时滞半比率依赖捕食模型的正周期解的存在性[J].北华大学学报(自然科学版),2011,12(4):390-395. 被引量:1
  • 9孟新柱.一类捕食和被捕食系统的概周期解的全局渐进稳定性[J].兰州理工大学学报,2004,30(2):119-122. 被引量:1

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