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Phase Transitions In Some Epidemic Models Defined On Small-World Networks

Author

Listed:
  • H. N. AGIZA

    (Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt)

  • 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)

  • S. A. YOUSSEF

    (Mathematics Department, Faculty of Science, 35516 Mansoura, Egypt)

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.

Suggested Citation

  • H. N. Agiza & A. S. Elgazzar & S. A. Youssef, 2003. "Phase Transitions In Some Epidemic Models Defined On Small-World Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(06), pages 825-833.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:06:n:s0129183103004978
    DOI: 10.1142/S0129183103004978
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    Cited by:

    1. Xiaoguang Gong & Renbin Xiao, 2007. "Research on Multi-Agent Simulation of Epidemic News Spread Characteristics," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 10(3), pages 1-1.
    2. Pan, Qiuhui & Liu, Rui & He, Mingfeng, 2014. "An epidemic model based on individuals with movement characteristics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 157-162.

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