Studies on the basic reproduction number in stochastic epidemic models with random perturbations
نویسندگان
چکیده
منابع مشابه
on some bayesian statistical models in actuarial science with emphasis on claim count
چکیده ندارد.
15 صفحه اولFurther 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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In this paper, we consider a stochastic SIRS model with parameter perturbation, which is a standard technique in modeling population dynamics. In our model, the disease transmission coefficient and the removal rates are all affected by noise. We show that the stochastic model has a unique positive solution as it is essential in any population model. Then we establish conditions for extinction o...
متن کاملThe Basic Reproduction Number as a Predictor for Epidemic Outbreaks in Temporal Networks
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...
متن کاملThe Basic Reproduction Number in a Multi-city Compartmental Epidemic Model
A directed graph with cities as vertices and arcs determined by outgoing (or return) travel represents the mobility component in a population of individuals who travel between n cities. A model with 4 epidemiological compartments in each city that describes the propagation of a disease in this population is formulated as a system of 4n ordinary differential equations. Terms in the system accoun...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2021
ISSN: 1687-1847
DOI: 10.1186/s13662-021-03445-2