PHASE TRANSITIONS IN SOME EPIDEMIC MODELS DEFINED ON SMALL-WORLD NETWORKS

H. N. Agiza, A. S. Elgazzar () and S. A. Youssef
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H. N. Agiza: Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt
A. S. Elgazzar: Mathematics Department, Faculty of Education, 45111 El-Arish, Egypt;
S. A. Youssef: Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt

International Journal of Modern Physics C (IJMPC), 2003, vol. 14, issue 06, 825-833

Abstract: Some modified versions of susceptible-infected-recovered-susceptible (SIRS) model are defined on small-world networks. Latency, incubation and variable susceptibility are separately included. Phase transitions in these models are studied. Then inhomogeneous models are introduced. In some cases, the application of the models to small-world networks is shown to increase the epidemic region.

Keywords: Phase transition; epidemic models; small-world networks; distant-neighbors models; inhomogeneous models (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0129183103004978

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