Erratum: Asymptotic Profiles of Basic Reproduction Number for Epidemic Spreading in Heterogeneous Environment
نویسندگان
چکیده
منابع مشابه
Asymptotic spreading in heterogeneous diffusive excitable media
We establish propagation and spreading properties for nonnegative solutions of non homogeneous reaction-diffusion equations of the type: ∂tu−∇ · (A(t, x)∇u) + q(t, x) · ∇u = f(t, x, u) with compactly supported initial conditions at t = 0. Here, A, q, f have a general dependence in t ∈ R+ and x ∈ RN . We establish properties of families of propagation sets which are defined as families of subset...
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The basic reproduction number R0--the number of individuals directly infected by an infectious person in an otherwise susceptible population--is arguably the most widely used estimator of how severe an epidemic outbreak can be. This severity can be more directly measured as the fraction of people infected once the outbreak is over, Ω. In traditional mathematical epidemiology and common formulat...
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Although its usefulness and possibility of the well-known definition of the basic reproduction number R0 for structured populations by Diekmann, Heesterbeek and Metz (J Math Biol 28:365-382, 1990) (the DHM definition) have been widely recognized mainly in the context of epidemic models, originally it deals with population dynamics in a constant environment, so it cannot be applied to formulate ...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2020
ISSN: 0036-1399,1095-712X
DOI: 10.1137/20m1346493