A delayed SIRS epidemic model with pulse vaccination

Guoping Pang and Lansun Chen

Chaos, Solitons & Fractals, 2007, vol. 34, issue 5, 1629-1635

Abstract: A delayed SIRS epidemic model with pulse vaccination and saturated contact rate is investigated. By using the discrete dynamical system determined by the stroboscopic map, we obtain the exact infection-free periodic solution of the system. Further, by using the comparison theorem, we prove that under the condition that R0<1 the infection-free periodic solution is globally attractive, and that under the condition that R′>1 the disease is uniformly persistent, which means that after some period of time the disease will become endemic.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:5:p:1629-1635

DOI: 10.1016/j.chaos.2006.04.061

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