Literature DB >> 28638046

A note on the stationary distribution of stochastic SEIR epidemic model with saturated incidence rate.

Qixing Han1, Liang Chen2, Daqing Jiang3,4.   

Abstract

The stochastic SEIR infectious diseases model with saturated incidence rate is studied in this paper. By constructing appropriate Lyapunov functions, we show that there is a stationary distribution for the system and the ergodicity holds provided [Formula: see text] > 1. In particular, we improve the results obtained by previous studies greatly, condition in our Theorem is more concise and elegant.

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Year:  2017        PMID: 28638046      PMCID: PMC5479838          DOI: 10.1038/s41598-017-03858-8

Source DB:  PubMed          Journal:  Sci Rep        ISSN: 2045-2322            Impact factor:   4.379


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