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斑块环境中三营养模型的动力学性态(英文) 被引量:2

Dynamics of tri-trophic models in patch environment
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摘要 本文建立和研究了斑块环境中的捕食与被捕食系统。主要考虑了迁移以及由迁移所引起的斑块被侵占,资源被消耗或被破坏,斑块恢复的循环过程。讨论了平衡点的存在性及其稳定性,同时对系统的全局性也进行了分析。 In this paper, differential equations models for tri-trophic metapopulations are formulated and analyzed. Dispersal and the cycle of invasion-consumption (damage)-recovery are considered. A complete analysis of existence and stability of equilibria are given. And the long term behavior of the models is also analyzed.
作者 段会玲
出处 《重庆三峡学院学报》 2008年第3期64-67,共4页 Journal of Chongqing Three Gorges University
关键词 集合种群 食物链 侵入 迁移 tri-trophic metapopulation food-chain invasion dispersal
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参考文献4

  • 1Vincent A.A.Jansen.Effect of dispersal in a tri-trophic metapopulation model.J.Mathematical Biology 34,195-224 (1995).
  • 2Vincent A.A.Jansen.The dynamics of two diffusively coupled predator-prey population.Theoretical Population Biology 59,119-131 (2001).
  • 3Vincent A.A.Jansen and Alun L.Lloyd Local stability analysis of spatially homogeneous solutions of multi-patch system.J.Math.Biol.41,232-252 (2000).
  • 4Zhidong Teng and Zhengyi Lu.The effect of dispersal on single-species nonautonomous dispersal models with dolays.J.Math.Biol.42,439-454 (2001).

同被引文献14

  • 1Vincent A A Jansen. Effects of dispersal in a tri- trophic metapopulation model[J]. Mathematical Biol- ogy, 1995,34(2) : 195 - 224.
  • 2Cantrell R S, Cosner C, Lou Yuan. Evolutionary stability of ideal free dispersal strategies in patchy environments[J]. Journal of Mathe- matical Biology,2012,65(5) :943-965.
  • 3Jansen V A A, Lloyd A L. Local stability analysis of spatially homogeneous solutions of multi-patch systems[J]. Journal Of Mathemati- cal Biology,2000,41(3) :232-252.
  • 4Chen Lijuan. Permanence for a delayed predator-prey model of prey dispersal in two-patch environments[J]. Journal of Applied Mathe- matics and Computing,2010,34(1/2):207-232.
  • 5Qiu Lin, Mitsui T. Predator-prey dynamics with delay when prey dispersing in n-patch environment[J]. Japan Journal of Industrial and Applied Mathematics, 2003,20 ( 1 ): 37-49.
  • 6Zhang Feng, Hui Cang, Han Xiaozhuo,et al. Evolution of cooperation in patchy habitat under patch decay and isolation[J]. Ecological Research, 2005,20 (4) : 461-469.
  • 7Chun Y S, Ryoo M I, Choi W I. Influences of resource patch distribution on a host-parasitoid system stability in patch environment: a la- boratory study[J]. Asia-Pacific Entomology, 1998,1 (2) : 223-234.
  • 8Zhang Xu, Wang Wendi. Importance of dispersal adaptations of two competitive populations between patehes[J]. Ecological Modelling, 2011,222(1) :11-20.
  • 9Wang Ruiping. Competition in a patch environment with cross-diffusion in a three-dimensional Lotka-Volterra system[J]. Nonlinear A- nalysis : Real World Applications, 2010,11 (4) : 2726-2730.
  • 10Zhang Long,Teng Zhidong, Liu Zijian. Survival analysis for a periodic predator-prey model with prey impulsively unilateral diffusion in two patches[J]. Applied Mathematical Modelling,2011,35(9) :4243-4256.

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