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Threshold analysis for epidemic models with high-risk immunization on networks

Qingchu Wu

College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022, P. R. China

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and

Shufang Chen

College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, P. R. China

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https://doi.org/10.1142/S179352451550031XCited by:1 (Source: Crossref)

Abstract

In this paper, an SIRS epidemic model with high-risk immunization was investigated, where a susceptible neighbor of an infected node is immunized with rate h. Through analyzing the discrete-time model, we found that the epidemic threshold above which an epidemic can prevail and persist in a population is inversely proportional to 1 - h value. We also studied the continuous-time epidemic model and obtained a different result: the epidemic threshold does not depend on the immunization parameter h. Our results suggest that the difference between the discrete-time epidemic model and the continuous-time epidemic model exists in the high-risk immunization.

Keywords:

AMSC: 92D30

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