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一类阶段结构捕食系统的全局渐近稳定性 被引量：2

Global asymptotical stability of a predator-prey system with stage-structure for prey
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摘要 研究了一类食饵具有阶段结构捕食系统的一致持久性,并利用建立Lyapunov函数的方法得到了系统全局渐近稳定的充分条件。 <Abstrcat> The uniform persistence in a predator-prey system with stage-structure for prey is studied. By means of Lyapunov function, a sufficient condition of global asymptotical stability is obtained.
作者 张少林 薛有才
机构地区 浙江科技学院理学院
出处 《浙江科技学院学报》 CAS 2005年第2期81-83,共3页 Journal of Zhejiang University of Science and Technology
基金 浙江省教育厅科研基金资助项目(20038049)
关键词 捕食系统 阶段结构 全局渐近稳定性 LYAPUNOV函数 一致持久性 食饵 predator-prey system stage-structure uniform persistence global asymptotical stability
分类号 Q141 [生物学—生态学] TP13 [自动化与计算机技术—控制理论与控制工程]
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共引文献24

同被引文献5

  • 1[2]XIAO YAN-NI,CHEN LAN-SUN.Global stability of a predator prey system with stage-structure for the predator[J].Acta Mathematical sinic (English series),2004(20):63 ～ 70.
  • 2[3]CUI JIN-AN,CHEN LAN-SUN,WANG WEN-DI.The effect of dispersal on population growth with stage-structure[J].Computers Math Applic,2000,39:91 ～ 102.
  • 3[5]GOPALSAMY K.Stability and Oscillation in Delay Differential Equations of Population Dynamics[M].Dordrecht/Norwell,MA:Kluwer Academic,1992.
  • 4Xin-yu Song, Lan-sun ChenDepartment of Mathematics. Xinyang Teachers College, Henan 464000, ChinaInstitute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing100080, China.Optimal Harvesting and Stability for a Predator-prey System with Stage Structure[J].Acta Mathematicae Applicatae Sinica,2002,18(3):423-430. 被引量：11
  • 5张勇,于宇梅,王稳地.一类食饵-捕食者模型的渐近性态[J].西南师范大学学报（自然科学版）,2002,27(1):6-9. 被引量：2

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浙江科技学院学报
2005年 第2期

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