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Analysis and optimization of cross-immunity epidemic model on complex networks

Author

Listed:
  • Chao Chen

    (Science and Technology on Information Systems Engineering Laboratory, National University of Defense Technology, Changsha 410073, P. R. China)

  • Hao Zhang

    (Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China)

  • Yin-Hua Wu

    (Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China)

  • Wei-Qiang Feng

    (Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China)

  • Jian Zhang

    (Naval War Gaming Center, Naval Command College, Nanjing 210016, P. R. China)

Abstract

There are various infectious diseases in real world, and these diseases often spread on a network of population and compete for the limited hosts. Cross-immunity is an important disease competing pattern, which has attracted the attention of many researchers. In this paper, we discovered an important conclusion for two cross-immunity epidemics on a network. When the infectious ability of the second epidemic takes a fixed value, the infectious ability of the first epidemic has an optimal value which minimizes the sum of the infection sizes of the two epidemics. We also proposed a simple mathematical analysis method for the infection size of the second epidemic using the cavity method. The proposed method and conclusion are verified by simulation results. Minor inaccuracies of the existing mathematical methods for the infection size of the second epidemic are also found and discussed in experiments, which have not been noticed in existing research.

Suggested Citation

  • Chao Chen & Hao Zhang & Yin-Hua Wu & Wei-Qiang Feng & Jian Zhang, 2015. "Analysis and optimization of cross-immunity epidemic model on complex networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(04), pages 1-10.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:04:n:s0129183115500394
    DOI: 10.1142/S0129183115500394
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