SIS models with switching and pulse control

Xinzhi Liu and Peter Stechlinski

Applied Mathematics and Computation, 2014, vol. 232, issue C, 727-742

Abstract: This paper investigates an SIS model with seasonal changes in disease transmission. The model is formulated as a switched system and its long-term behavior is analyzed. A constant treatment strategy is then applied to a switched SIS model which takes media coverage into account. A pulse vaccination control strategy with vaccine failure is also considered. Throughout the paper, the stability of the disease-free solution is analyzed and threshold criteria involving the basic reproduction number are established which guarantee disease eradication. Sufficient conditions are also given for the endemic case.

Keywords: Epidemic model; SIS model; Nonlinear incidence rate; Seasonality; Term-time forcing; Pulse vaccination; Constant treatment; Basic reproduction number (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:727-742

DOI: 10.1016/j.amc.2013.12.100

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