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arXiv · 1410.2660

Analysis and Numerics for an Age- and Sex-Structured Population Model

Michael Pokojovy·Yevhenii Skvarkovskyi
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Abstract

We study a linear model of McKendrick-von Foerster-Keyfitz type for the temporal development of the age structure of a two-sex human population. For the underlying system of partial integro-differential equations, we exploit the semigroup theory to show the classical well-posedness and asymptotic stability in a Hilbert space framework under appropriate conditions on the age-specific mortality and fertility moduli. Finally, we propose an implicit finite difference scheme to numerically solve this problem and prove its convergence under minimal regularity assumptions. A real data application is also given.

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Michael Pokojovy, Yevhenii Skvarkovskyi. 2014-10-10. Analysis and Numerics for an Age- and Sex-Structured Population Model. https://arxiv.org/abs/1410.2660

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