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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The results of this paper have been obtained with partial support of the Research Funds of the Universities of KwaZulu-Natal and Zululand and the Grant N N201 605640 from the National Scientific Centre of Poland.
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Banasiak, J., Goswami, A. & Shindin, S. Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations. Mediterr. J. Math. 11, 533–559 (2014). https://doi.org/10.1007/s00009-013-0319-4
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DOI: https://doi.org/10.1007/s00009-013-0319-4