斑块环境中三营养模型的动力性态
Dynamics of a Tri-Trophic Model in Patch Environment
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摘要: 建立和研究了斑块环境中的考虑资源的捕食与被捕食的微分方程模型.主要考虑了迁移以及由迁移所引起的斑块的被侵占、资源的被消耗或被破坏、斑块的恢复的循环过程.讨论了平衡点的存在性及其稳定性,同时运用复合矩阵的方法对系统的全局性态也进行了分析.
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关键词:
- 集合种群、食物链、侵入、迁移、复合矩阵
Abstract: In this paper, a differential equations model for tri-trophic metapopulations is formulated and analyzed.Dispersal and the cycle of invasion-consumption (damage)-recovery are considered. A complete analysis of existence and stability of equilibria is given. The long term behavior of the model is also analyzed by using compound matrix.-
Key words:
- metapopulation .
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