Positivity and Stability for a Population Equation with Diffusion on 1 |
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| Authors: | Abdelaziz Rhandi |
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| Affiliation: | (1) Mathematisches Institut, Universität Tübingen, Auf der Morgenstelle 10, D-72076 Tübingen, Germany;;(2) Département de Mathématiques, Université Cadi Ayyad, B.P.: S. 15, 40000 Marrakech, Morocco E-mail |
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| Abstract: | ![]()
Using positivity, abstract extrapolation spaces, and a generalization of the Jörgens–Vidav-Voigt perturbation theorem for the essential spectral radius of strongly continuous semigroups given in [19], we study the asymptotic behavior of a linear age-dependent population problem with spatial diffusion where the birth and the death rates depend on the spatial variable. |
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| Keywords: | age-structured population equation essential spectral radius Hille– Yosida operator extrapolated semigroup quasi-compact semigroup resolvent positive operator |
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