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arXiv · 1806.03442

Uniqueness result for an age-dependent reaction-diffusion problem

Vo Anh Khoa·Tran The Hung·Daniel Lesnic
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Abstract

This paper is concerned with an age-structured model in population dynamics. We investigate the uniqueness of solution for this type of nonlinear reaction-diffusion problem when the source term depends on the density, indicating the presence of, for example, mortality and reaction processes. Our result shows that in a spatial environment, if two population densities obey the same evolution equation and possess the same terminal data of time and age, then their distributions must coincide therein.

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Vo Anh Khoa, Tran The Hung, Daniel Lesnic. 2018-06-09. Uniqueness result for an age-dependent reaction-diffusion problem. https://arxiv.org/abs/1806.03442

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