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Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations |
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| Authors: | Jacek Banasiak Amartya Goswami Sergey Shindin |
| Affiliation: | 1. School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa 2. Institute of Mathematics, Technical University of ?ód?, ?ód?, Poland 3. Department of Mathematical Sciences, University of Zululand, Richards Bay, South Africa |
| Abstract: | 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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