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一类捕食者具有阶段结构的捕食被捕食系统的持久性 被引量：1

Permanence of a Predator-prey System with Stage Structure for Predator
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摘要 研究了捕食者和被捕食者都具有时滞的捕食被捕食模型,并且这两种情况都具有阶段结构.利用数学分析的方法得到了系统的持久性和有界性的充分条件. In this paper, we mainly analyze and study two predator-prey systems with Stage Structure and with delays for prey and predator, receptively. By using the Mathematical analysis method, we give the sufficient condition for boundedness and persistence of systems.
作者 热孜娅.托合提 滕志东
机构地区 新疆大学数学与系统科学学院
出处 《新疆大学学报（自然科学版）》 CAS 2012年第2期157-161,173,共6页 Journal of Xinjiang University(Natural Science Edition)
基金 国家自然科学基金(10961022 10901130) 新疆维吾尔自治区自然科学基金(2010211A07)
关键词 捕食被捕食模型 阶段结构 自治系统 时滞 持久性 Predator-prey system Stage structure Autonomous system Time delay permanence
分类号 O175 [理学—基础数学]
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参考文献14

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同被引文献7

  • 1Cushing J M. Periodic time -dependent predator- prey systems[ J ]. SIAM J Appl Math, 1977, 32 (1) : 82 -95.
  • 2Xu Rui, Chaplain M A J, Davidson F A. Global stability of a Lotka - Volterra type predator -prey model with stage structure and time delay[J]. Appl Math Comput, 2004, 159(3) : 863 -880.
  • 3Gui Zhanji, Ge Weigao. The effect of harvesting on a predator - prey system with stage structure [ J ]. Ecol Modelling, 2005, 187(2/3): 329 -340.
  • 4Cai Liming, Song Xinyu. Permanence and stability of a predator- prey system with stage structure for predator[ J]. J Comput Appl Math, 2007, 201(2) : 356-366.
  • 5Song Xinyu, Chen Lansun. Optimal harvesting and stability for a two - species competitive system with stage structure[ J ]. Math Biosci, 2001, 170(2): 173-186.
  • 6Liu Shengqiang, Chen Lansun, Luo Guilie, et al. Asymptotic behaviors of competitive Lotka - Voherra system with stage struc- ture[J]. J Math Anal Appl, 2002, 271(1) : 124 - 138.
  • 7马智慧,李自珍,王淑璠.具有阶段结构的捕食-食饵模型[J].兰州大学学报（自然科学版）,2008,44(2):103-106. 被引量：6

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新疆大学学报（自然科学版）
2012年 第2期

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