Spreading speed and travelling wave solutions of a partially sedentary population
Spreading speed and travelling wave solutions of a partially sedentary population
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DOI：
10.1093/imamat/hxm025
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发表时间：
2007-12-01
影响因子：
1.2
通讯作者：
Lui, Roger
中科院分区：
文献类型：
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作者：
Volkov, Darko;Lui, Roger
在本文中，我们将 Weinberger 的群体遗传学模型（1978，群体遗传学模型的渐近行为。非线性偏微分方程和应用（J. Chadam.ed.）。数学讲座笔记，第 648 卷。纽约：Springer，第 47-98 页）扩展到其中一小部分群体在选择过程后不迁移的情况。在数学上，我们研究递归 u(n+1) = Q(g)[u(n)] 解的渐近行为，其中 Q(g)[u](x) = (1 - g)积分(d)(R) K(x - y)f(u(y))dy+gf(u(x)), 0
In this paper, we extend the population genetics model of Weinberger (1978, Asymptotic behavior of a model in population genetics. Nonlinear Partial Differential Equations and Applications (J. Chadam. ed.). Lecture Notes in Mathematics, vol. 648. New York: Springer, pp. 47-98.) to the case where a fraction of the population does not migrate after the selection process. Mathematically, we study the asymptotic behaviour of solutions to the recursion u(n+1) = Q(g)[u(n)], whereQ(g)[u](x) = (1 - g) integral(d)(R) K(x - y)f(u(y))dy+gf(u(x)), 0