Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations

被引：0
作者：
Jacek Banasiak
Amartya Goswami
Sergey Shindin
机构：
[1] University of KwaZulu-Natal,School of Mathematics, Statistics and Computer Science
[2] Technical University of Łódź,Institute of Mathematics
[3] University of Zululand,Department of Mathematical Sciences
来源：
Mediterranean Journal of Mathematics | 2014年 / 11卷
关键词：
92D25; 35B25; 35Q80; 47D06; 47N20; Structured population models; aggregation; singular perturbation; asymptotic analysis; semigroups; multiple time scales; Chapman–Enskog asymptotic expansion; initial layer; Reducible matrices;
D O I：
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中图分类号：
学科分类号：
摘要：
The paper is concerned with asymptotic analysis of a singularly perturbed system of McKendrick equations of population with age and geographical structure. It is assumed that the migration between geographical patches occurs on a much faster time scale than the demographic processes and is described by a reducible Kolmogorov matrix. We apply a novel regularizing technique which makes the error estimates easier than that in previous papers and provide a numerical illustration of theoretical results.
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页码：533 / 559
页数：26
相关论文
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  • [8] Shindin S.(undefined)undefined undefined undefined undefined-undefined
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  • [10] Goswami A.(undefined)undefined undefined undefined undefined-undefined
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