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Modelling of discrete-time SIS models with awareness interactions on degree-uncorrelated networks

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  • Wu, Qingchu
  • Fu, Xinchu

Abstract

Many epidemic models ignored the impact of awareness on epidemics in a population, though it is not the case from the real viewpoints. In this paper, a discrete-time SIS model with awareness interactions on degree-uncorrelated networks is considered. We study three kinds of awareness, including local awareness and global awareness which are originated from the epidemic-dependent information, and individual awareness which is epidemic-independent and determined by the individual information. We demonstrate analytically that awareness of the epidemic-dependent information cannot change the epidemic threshold regardless of the global or local spreading information. In contrast, epidemic-independent awareness to individual information increases the epidemic threshold in finite scale-free networks, but cannot halt the absence of epidemic threshold in an infinite scale-free network. By numerical simulations, we find that local awareness has a stronger impact on epidemic prevalence than global awareness. Our findings explore the effects of various types of awareness on epidemic spreading and address their roles in the epidemic control.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:3:p:463-470
    DOI: 10.1016/j.physa.2010.10.006
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    Cited by:

    1. Gong, Yong-Wang & Song, Yu-Rong & Jiang, Guo-Ping, 2013. "Time-varying human mobility patterns with metapopulation epidemic dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(19), pages 4242-4251.
    2. Sanders, Johnathan & Noble, Benjamin & Van Gorder, Robert A. & Riggs, Cortney, 2012. "Mobility matrix evolution for an SIS epidemic patch model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6256-6267.

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