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

H. N. AGIZA

Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt

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A. S. ELGAZZAR

Mathematics Department, Faculty of Education, 45111 El-Arish, Egypt

Mathematics Department, College of Science - Al-Jouf, King Saud University, Kingdom of Saudi Arabia

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, and

S. A. YOUSSEF

Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt

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https://doi.org/10.1142/S0129183103004978Cited by:9 (Source: Crossref)

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.

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