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避难所对一类阶段结构捕食-食饵模型的影响 被引量:2

The influence of refuge on a stage-structured predator-prey model
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摘要 研究一类具食饵避难所的阶段结构捕食-食饵模型.通过详细分析模型的动力学行为,获得较小容量的避难所不影响种群的动力学行为,而较大容量的避难所有稳定性作用并且随着避难所容量的增大,可能导致种群灭绝.给出两个例子证明所获得的结论. A stage-structured predator-prey model incorporating a prey refuge is investigated.By detail analyzing the dynamic behaviors of the model,we show that small refuge has no influence on the dynamic behaviors of the model and large refuge has the stabilize effect and increasing the amount of refuge can lead to population outbreaks.Two examples are carried out to illustrate the validity of our results.
出处 《福州大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第3期283-290,共8页 Journal of Fuzhou University(Natural Science Edition)
基金 福建省自然科学基金资助项目(2011J01007) 福建省科技创新平台计划资助项目(2009J1007)
关键词 捕食-食饵模型 阶段结构 避难所 轨道稳定 全局稳定 predator-prey model stage structure refuge orbital stability global stability
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  • 1高淑京,陈兰荪.具有三个成长阶段的单种群时滞模型的永久持续生存和全局稳定性[J].数学物理学报(A辑),2006,26(4):527-533. 被引量:12
  • 2田亚品,陈斯养.N-种群Lotka-Volterra扩散竞争反馈控制生态系统的持久性和全局渐近性[J].应用数学,2007,20(3):485-490. 被引量:10
  • 3Collings J B. Bifurcation and stability analysis of a temperature dependent mite predator-prey interaction model incorporating a prey refuge [J]. Bulletin of Mathematical Biology, 1995, 57(1): 63-76.
  • 4Kar T K. Stability analysis of a prey-predator model incorporating a prey refuge[J]. Communications in Nonlinear Science and Numerical Simulation, 2005, 10 (6): 681-691.
  • 5Kar T K. Modelling and analysis of a harvested prey- predator system incorporating a prey refuge[J]. Journal of Computational and Applied Mathematics, 2006,185(1): 19-33.
  • 6Ko W, Ryu K. Qualitative analysis of a predator-prey model with Holling type II functional response incorpo- rating a prey refuge[J]. Journal of Differential Equations, 2006, 231(2): 534-550.
  • 7Huang Yunjin, Chen Fengde, Li Zhong. Stability a- nalysis of a prey-predator model with Holling type III response function incorporating a prey refuge[J]. Applied Math. and Computation, 2006, 182 (1): 672- 683.
  • 8Chen Fengde, Chen Liujuan, Xie Xiangdong. On a Leslie-Gower predator-prey model incorporating a prey refuge[J]. Nonlinear Analysis; Real World Applica- tions, 2009, 10(2): 2905-2908.
  • 9Eressman R, Garay J. A. Predator-prey refuge system: evolutionary stability in ecological systems[J]. Theoretical Population Biology, 2009, 76 (4) : 248- 157.
  • 10Chen Liujuan, Chen Fengde, Chen Lijuan. Qualitative malysis of a predator-prey model with Holling type II :unctional response incorporating a constant prey ref- uge[J]. Nonlinear Analysis: Real World Applications. 2010, 11(1): 246-252.

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