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pro vyhledávání: '"McKendrick A"'
Autor:
Ponce, Joan, Thieme, Horst R.
The suggestion by K.L. Cooke (1967) that infected individuals become infective if they are exposed often enough for a natural disease resistance to be overcome is built into a Kermack-McKendrick type epidemic model with infectivity age. Both the case
Externí odkaz:
http://arxiv.org/abs/2409.17278
We propose an approach to model spatial heterogeneity in SIR-type models for the spread of epidemics via \emph{nonlocal aggregation terms}. More precisely, we first consider an SIR model with spatial movements driven by nonlocal aggregation terms, in
Externí odkaz:
http://arxiv.org/abs/2410.04947
Autor:
Bargo, Marius, Simpore, Yacouba
In this paper, we investigate, simultaneously, the null-controllability via the feedback control method and the turnpike property of dynamic systems arising from population dynamics models where the control is localized on the non-local term. These m
Externí odkaz:
http://arxiv.org/abs/2409.11247
Autor:
Inaba, Hisashi
In this paper, we consider the infection-age-dependent Kermack--McKendrick model in which host individuals are distributed in a continuous state space. To provide a mathematical foundation for the heterogeneous model, we develop a $L^1$-framework to
Externí odkaz:
http://arxiv.org/abs/2311.11247
Akademický článek
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Autor:
Ene, Remus-Daniel1 (AUTHOR) remus.ene@upt.ro, Pop, Nicolina2 (AUTHOR) nicolina.pop@upt.ro
Publikováno v:
Symmetry (20738994). Jul2024, Vol. 16 Issue 7, p889. 25p.
Akademický článek
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In this paper, we revisit the famous Kermack-McKendrick model with nonlocal spatial interactions by shedding new lights on associated spreading properties and we also prove the existence and uniqueness of traveling fronts. Unlike previous studies tha
Externí odkaz:
http://arxiv.org/abs/2304.11873
Autor:
Li, Jun1 (AUTHOR) lijun@xidian.edu.cn, Ma, Mingju2 (AUTHOR) lijun@xidian.edu.cn
Publikováno v:
Symmetry (20738994). Jun2024, Vol. 16 Issue 6, p688. 15p.
The paper concerns the well-posedness and long-term asymptotics of growth--fragmentation equation with unbounded fragmentation rates and McKendrick--von Foerster boundary conditions. We provide three different methods of proving that there is a stron
Externí odkaz:
http://arxiv.org/abs/2210.07950