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arXiv 1010.5686math.DS
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部分定居年龄结构种群的行波扩散

Traveling wave dispersal in partially sedentary age-structured populations

Thuc Manh Le, Frithjof Lutscher, Nguyen Van Minh

摘要:

本文研究了具有年龄结构的部分定居人口的扩散数学模型中行波的存在性。这种类型的模型首先由Veit和Lewis在[{ \it Am. Nat.},{ \bf 148}(1996),255-274]。我们选择的繁殖力函数是Beverton-Holt型函数。我们在[{ \it SIAM J. Math. Anal.}]中推广了Weinberger群体遗传学模型中的行波理论,{ \bf 13}(1982),353-396]到移民取决于年龄组而一部分人口不移民的情况。

英文摘要:

In this paper we present a thorough study on the existence of traveling waves in a mathematical model of dispersal in a partially sedentary age-structured population. This type of model was first proposed by Veit and Lewis in [{\it Am. Nat.}, {\bf 148} (1996), 255-274]. We choose the fecundity function to be the Beverton-Holt type function. We extend the theory of traveling waves in the population genetics model of Weinberger in [{\it SIAM J. Math. Anal.}, {\bf 13} (1982), 353-396] to the case when migration depends on age groups and a fraction of the population does not migrate.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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