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Mobility matrix evolution for an SIS epidemic patch model

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  • Sanders, Johnathan
  • Noble, Benjamin
  • Van Gorder, Robert A.
  • Riggs, Cortney
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    Abstract

    Intercommunity disease spread can be modeled using a collection of discrete community “patches” with continuous population flow between them. In a susceptible–infected–susceptible (SIS) model residents of a community may either be classified as susceptible or infected. Infected individuals may heal and become susceptible again but are not permitted to die or become immune. The spread of disease can be controlled by modifying the rate and direction of resident movement across patch boundaries. In this work we use genetic algorithms to evolve optimal connections between patch boundaries such that the total number of infected individuals is minimized.

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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 391 (2012)
    Issue (Month): 24 ()
    Pages: 6256-6267

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    Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6256-6267

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Epidemic patch model; Mobility matrix; Genetic algorithms;

    References

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    1. Wu, Qingchu & Fu, Xinchu, 2011. "Modelling of discrete-time SIS models with awareness interactions on degree-uncorrelated networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(3), pages 463-470.
    2. Xu, Xin-Jian & Peng, Hai-Ou & Wang, Xiao-Mei & Wang, Ying-Hai, 2006. "Epidemic spreading with time delay in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 525-530.
    3. Shi, Hongjing & Duan, Zhisheng & Chen, Guanrong, 2008. "An SIS model with infective medium on complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2133-2144.
    4. Liu, Jingzhou & Wu, Jinshan & Yang, Z.R., 2004. "The spread of infectious disease on complex networks with household-structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 273-280.
    5. Yang, Xu-Hua & Wang, Bo & Chen, Sheng-Yong & Wang, Wan-Liang, 2012. "Epidemic dynamics behavior in some bus transport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 917-924.
    6. Yoo, Jaewan & Lee, J.S. & Kahng, B., 2011. "Disease spreading on fitness-rewired complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4571-4576.
    7. Yang, Meng & Chen, Guanrong & Fu, Xinchu, 2011. "A modified SIS model with an infective medium on complex networks and its global stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(12), pages 2408-2413.
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