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具有年龄结构的竞争生态模型行波解的存在性

Existence of Traveling Waves in Competition Models with Stage Structure
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摘要 主要考察了具有年龄结构和分布时滞的竞争生态模型平衡解的稳定性,以及连接两个边界平衡解的行波解的存在性.给出了平衡解稳定的条件以及行波解存在性的条件. The stability of the equilibrium in a Lotka-Volterra competition models with stage structure and distributed maturation delays is concerned. Moreover, the existence of the traveling wavefront solutions connecting two semitrivial equilibria is proved by using the theory established by Wang, Li and Ruan.
作者 王仁虎
机构地区 河西学院数学系
出处 《兰州交通大学学报》 CAS 2007年第4期139-143,共5页 Journal of Lanzhou Jiaotong University
关键词 时滞 平衡解 行波解 年龄结构 竞争模型 time-delay equilibrium traveling waves stage structure competitive models
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参考文献8

  • 1Aiello W G, Freedman H I. A time-delay model of single species growth with stage structure[J]. Math. Biosci. ,1990,101:139-153.
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二级参考文献1

  • 1Masayasu Mimura,Kohkichi Kawasaki. Spatial segregation in competitive interaction-diffusion equations[J] 1980,Journal of Mathematical Biology(1):49~64

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