A nonautonomous epidemic model on time scales

We obtain conditions for permanence and extinction of the infection for a nonautonomous SIQR model defined on an arbitrary time scale. The threshold conditions are given by some numbers that play the role of the basic reproduction number in this setting. As a particular case of our result, we recove...

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Bibliographic Details
Published in:Journal of difference equations and applications 2018-08, Vol.24 (8), p.1295-1317
Main Authors: Ferreira, Rui A. C., Silva, César M.
Format: Article
Language:English
Subjects:
Epidemic model
Epidemics
isolation
nonautonomous
stability
Time
time scales
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Summary:We obtain conditions for permanence and extinction of the infection for a nonautonomous SIQR model defined on an arbitrary time scale. The threshold conditions are given by some numbers that play the role of the basic reproduction number in this setting. As a particular case of our result, we recover several threshold conditions obtained in the literature, on discrete or continuous time, for autonomous, periodic models and general nonautonomous models and we also discuss some new situations, including an aperiodic time scale.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236198.2018.1479400