A class of stochastic delayed SIR epidemic models with generalized nonlinear incidence rate and temporary immunity

Kuangang Fan, Yan Zhang, Shujing Gao and Xiang Wei

Physica A: Statistical Mechanics and its Applications, 2017, vol. 481, issue C, 198-208

Abstract: A class of SIR epidemic model with generalized nonlinear incidence rate is presented in this paper. Temporary immunity and stochastic perturbation are also considered. The existence and uniqueness of the global positive solution is achieved. Sufficient conditions guaranteeing the extinction and persistence of the epidemic disease are established. Moreover, the threshold behavior is discussed, and the threshold value R0 is obtained. We show that if R0<1, the disease eventually becomes extinct with probability one, whereas if R0>1, then the system remains permanent in the mean.

Keywords: Stochastic epidemic model; Temporal delay; Threshold value; Extinction (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S037843711730362X
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:481:y:2017:i:c:p:198-208

DOI: 10.1016/j.physa.2017.04.055

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().