Extinction and permanence in a stochastic SIRS model in regime-switching with general incidence rate

Extinction and permanence in a stochastic SIRS model in regime-switching with general incidence rate

In this paper, we consider a stochastic SIRS model with general incidence rate and perturbed by both white noise and color noise. We determine the threshold \(\lambda\) that is used to classify the extinction and permanence of the disease. In particular, \(\lambda0\) the epidemic is strongly stochas...

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Veröffentlicht in:arXiv.org 2019-02
Hauptverfasser: Tuong, T D, Nguyen, Dang H, Dieu, N T, Tran, Ky
Format: Artikel
Sprache:eng
Schlagworte:
Epidemics
Extinction
Incidence
Noise threshold
White noise
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Zusammenfassung:In this paper, we consider a stochastic SIRS model with general incidence rate and perturbed by both white noise and color noise. We determine the threshold \(\lambda\) that is used to classify the extinction and permanence of the disease. In particular, \(\lambda0\) the epidemic is strongly stochastically permanent. Our result is considered as a significant generalization and improvement over the results in \cite{HZ1, GLM1, LOK1, SLJJ1, ZJ1}.
ISSN:2331-8422