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- W4384261714 abstract "We generalize the model proposed in [Adimy, Babin, Pujo-Menjouet, emph{SIAM Journal on Applied Dynamical Systems} (2022)] for prion infection to a network of neurons. We do so by applying a so-called emph{multigroup approach} to the system of Delay Differential Equations (DDEs) proposed in the aforementioned paper. We derive the classical threshold quantity $mathcal{R}_0$, textit{i.e.} the basic reproduction number, exploiting the fact that the DDEs of our model qualitatively behave like Ordinary Differential Equations (ODEs) when evaluated at the Disease Free Equilibrium. We prove analytically that the disease naturally goes extinct when $mathcal{R}_0<1$, whereas it persists when $mathcal{R}_0>1$. We conclude with some selected numerical simulations of the system, to illustrate our analytical results." @default.
- W4384261714 created "2023-07-14" @default.
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- W4384261714 date "2023-07-07" @default.
- W4384261714 modified "2023-09-23" @default.
- W4384261714 title "A multigroup approach to delayed prion production" @default.
- W4384261714 doi "https://doi.org/10.48550/arxiv.2307.05524" @default.
- W4384261714 hasPublicationYear "2023" @default.
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