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离散Hassell-Varley型功能性反应系统的正周期解
  • 期刊名称：数学的实践与认识，2009，39（12）：115-120
  • 时间：0
  • 分类：Q141[生物学—生态学;生物学—普通生物学] TQ325.12[化学工程—合成树脂塑料工业]
  • 作者机构：[1]湖南大学数学与计量经济学院,湖南长沙410082, [2]华南师范大学数学科学学院,广东广州510631
  • 相关基金：国家自然科学基金（10771055,10801056）;广东省自然科学基金（8451063101000730）
  • 相关项目：右端不连续微分方程的定性理论及其应用研究
关键词： Hassell-Varley型功能性反应, 周期解, 捕食者—食饵系统, Hassell-Varley type functional response, periodic solutions, predator-prey system
中文摘要：

研究具有Hassell-Varley型功能性反应的捕食者—食饵系统并建立了非自治差分方程模型.利用新的解的估计技巧,并运用拓扑度的同伦不变性,得到了这类系统正周期解存在的充要条件.

英文摘要：

This paper deals with a predator-prey system with Hassell-Varley type functional response. The non-autonomous difference model is established. Using a new estimation techinque of solutions and the invariance property of homotopy, the necessary and sufficient conditions are derived.

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