Stability of the SNIS epidemic spreading model with contagious incubation period over heterogeneous networks

Yi Yu, Li Ding, Ling Lin, Ping Hu and Xuming An

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: In this paper, a novel susceptible–infected–susceptible epidemic model with contagious incubation period is proposed by using the N-intertwined mean field approximation on directed and heterogeneous networks. Both continuous and impulsive strategies that consider the detection and identification of individuals in incubation period are studied. The impacts of the incubation period incorporating with the network topology and the effects of the strategies on the epidemic spreading process are discussed. We analyze the stability of disease-free equilibrium and obtain the corresponding sufficient conditions by means of Lyapunov–Razumikhin functions and inequality techniques. Numerical simulations are presented to illustrate and validate the theoretical analysis. These results provide some meaningful clues for the public health department to conduct appropriate and effective defensive measures to eradicate the epidemic in the crowd.

Keywords: Epidemic spreading; Stability; Incubation period; Heterogeneous networks (search for similar items in EconPapers)
Date: 2019
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119304960
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:526:y:2019:i:c:s0378437119304960

DOI: 10.1016/j.physa.2019.04.114

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 ().