An SIR epidemic model with vaccination in a patchy environment
نویسندگان
چکیده
منابع مشابه
An epidemic model in a patchy environment.
An epidemic model is proposed to describe the dynamics of disease spread among patches due to population dispersal. We establish a threshold above which the disease is uniformly persistent and below which disease-free equilibrium is locally attractive, and globally attractive when both susceptible and infective individuals in each patch have the same dispersal rate. Two examples are given to il...
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ABSTRACT Mathematical epidemiological models for the dynamics of infections that induce lifelong immunity have been extensively developed. In this work, we consider a nonlinear SIR model given by a nonlinear system describing the dynamics of the interaction between susceptible and infective individuals in population. We analyze the dynamical behavior of the nonlinear system and then use two typ...
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ژورنال
عنوان ژورنال: Mathematical Biosciences and Engineering
سال: 2017
ISSN: 1551-0018
DOI: 10.3934/mbe.2017059