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Threshold Dynamics for Diffusive Age-Structured Model over Unbounded Domains: Age-Dependent Death and Diffusion Rates

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Abstract

The global dynamics of the typical age-structured model with age-dependent mortality and diffusion rates on unbounded domains have been established. On the one hand, we showed that a positive and constant state solution of the mature population is globally asymptotically stable with respect to the compact-open topology; on the other hand, we showed that the trivial solution is globally asymptotically stable with respect to the usual supremum norm. As an application of our result, we applied the result to birth functions appearing in biology. In addition to the theoretical results, we also present a numerical simulation.

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The author would like to thank the editor and the referees for their valuable comments which improved the manuscript.

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  1. Department of Mathematics, Yarmouk University, Irbid, 21163, Jordan

    Mohammadkheer AlJararha

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AlJararha, M. Threshold Dynamics for Diffusive Age-Structured Model over Unbounded Domains: Age-Dependent Death and Diffusion Rates. Acta Appl Math 190, 6 (2024). https://doi.org/10.1007/s10440-024-00643-4

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