Lévy noise impact on a stochastic delayed epidemic model with Crowly–Martin incidence and crowding effect

Mohamed El Fatini and Idriss Sekkak

Physica A: Statistical Mechanics and its Applications, 2020, vol. 541, issue C

Abstract: In this paper, we consider the dynamical behavior of a delayed stochastic epidemic model SIR with Lévy noise. First, we prove the existence and the uniqueness of the positive solution. Then, we establish a stochastic threshold as a sufficient condition for the extinction and persistence in mean of the disease. Finally, numerical simulations are presented to support our theoretical results.

Keywords: Stochastic; Epidemic model; Threshold; Extinction; Persistence in mean; Delay (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119318564
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:541:y:2020:i:c:s0378437119318564

DOI: 10.1016/j.physa.2019.123315

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 ().