On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
نویسندگان
چکیده
منابع مشابه
Further Notes on the Basic Reproduction Number
The basic reproduction number, R0 is a measure of the potential for disease spread in a population. Mathematically, R0 is a threshold for stability of a disease-free equilibrium and is related to the peak and final size of an epidemic. The purpose of these notes is to give a precise definition and algorithm for obtaining R0 for a general compartmental ordinary differential equation model of dis...
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We study the final size equation for an epidemic in a subdivided population with general mixing patterns among subgroups. The equation is determined by a matrix with the same spectrum as the next generation matrix and it exhibits a threshold controlled by the common dominant eigenvalue, the basic reproduction number R0. There is a unique positive solution giving the size of the epidemic if and ...
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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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ژورنال
عنوان ژورنال: SIAM Journal on Applied Mathematics
سال: 2019
ISSN: 0036-1399,1095-712X
DOI: 10.1137/18m1182243