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Lyapunov stability for an age-structured population model

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  • Tarkhanov, N.

Abstract

This is a short notice on the McKendrick equation that I actually learned from Yu.M. Svirezhev in the 1990s. This McKendrick equation modelling the evolution in time of an age-structured population has received attention recently from mathematicians. The initial and boundary conditions for the McKendrick equation imposed by the population model are not the standard side conditions one sees in PDE theory for an evolution equation. In the simplest case, the problem reduces to a well-known model in demography, the Lotka integral equation.

Suggested Citation

  • Tarkhanov, N., 2008. "Lyapunov stability for an age-structured population model," Ecological Modelling, Elsevier, vol. 216(2), pages 232-239.
    • Handle: RePEc:eee:ecomod:v:216:y:2008:i:2:p:232-239
    DOI: 10.1016/j.ecolmodel.2008.03.017
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