A Class of Semilinear Parabolic Problems and Analytic Semigroups

Autor: Kazuaki Taira

Publikováno v: Mathematics, Vol 10, Iss 22, p 4381 (2022)

(1) Background: This paper is devoted to the study of a class of semilinear initial boundary value problems of parabolic type. (2) Methods: We make use of fractional powers of analytic semigroups and the interpolation theory of compact linear operato

Externí odkaz: https://doaj.org/article/c31968c20e1542d09d5fdadde0293a2e

Impact of Regional Difference in Recovery Rate on the Total Population of Infected for a Diffusive SIS Model

Autor: Jumpei Inoue, Kousuke Kuto

Publikováno v: Mathematics, Vol 9, Iss 8, p 888 (2021)

This paper is concerned with an SIS epidemic reaction-diffusion model. The purpose of this paper is to derive some effects of the spatial heterogeneity of the recovery rate on the total population of infected and the reproduction number. The proof is

Externí odkaz: https://doaj.org/article/547a8dd716674d8dad9a3c926bcbc25a

Optimisation of the total population size for logistic diffusive equations: bang-bang property and fragmentation rate

Autor: Idriss Mazari, Grégoire Nadin, Yannick Privat

Publikováno v: Communications in Partial Differential Equations
Communications in Partial Differential Equations, 2021, 47 (4), pp.797-828. ⟨10.1080/03605302.2021.2007533⟩

International audience; In this article, we give an in-depth analysis of the problem of optimising the total population size for a standard logistic-diffusive model. This optimisation problem stems from the study of spatial ecology and amounts to the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::18220c2d6de7a8b67a08f0f6a9c38886
https://doi.org/10.1080/03605302.2021.2007533

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