Lyapunov stability for an age-structured population model |
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Authors: | N Tarkhanov |
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Institution: | Universität Potsdam, Institut für Mathematik, Am Neuen Palais 10, 14469 Potsdam, Germany |
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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. |
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Keywords: | Population dynamics Age-structured population McKendrick equation |
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