Mathematical expressions for epidemics and immunization in small-world networks

Xiao-ling Yu, Xiao-yu Wang, Duan-ming Zhang, Fang Liang and Xiao Wu

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 5, 1421-1430

Abstract: In this paper we propose an analytic model for describing the epidemic spreading action on the one-dimensional small-world network. Based on the model, the epidemic spreading behaviors without immune strategy and with immune strategy are studied under different conditions. The obtained results suggest that the network’s structure is the key factor to influence the time evolution law of the number of all infected vertices when without immune strategy. The infecting percentage with immune strategy has different maximum for different immune probability and triggering time (at which the control strategy is triggered), but for different values of them the infecting percentage reaches each maximum almost at same time. Our analytic model is more convenient and efficient than the previous simulation method.

Keywords: Epidemic spreading; Immunization; Small-world network (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:5:p:1421-1430

DOI: 10.1016/j.physa.2007.08.060

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