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Mathematical Biosciences and Engineering

2015, Volume 12, Issue 3: 609-623. doi: 10.3934/mbe.2015.12.609
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Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks

  • 1.
    Department of Electrical and Computer Engineering, Kansas State University, Manhattan, KS 66506-5204
  • 2.
    K-State Epicenter, Department of Electrical and Computer Engineering, Kansas State University, 2061 Rathbone Hall, Manhattan, KS 66506-5204
  • 3.
    Department of Mathematics, Kansas State University, Manhattan, KS 66506-2602
  • 4.
    Department of Electrical and Systems Engineering, University of Pennsylvania, Philadelphia, PA 19104-6391
  • Received: 01 August 2014 Accepted: 29 June 2018 Published: 01 February 2015

  • MSC : Primary: 58F15, 58F17; Secondary: 53C35.

  • Launching a prevention campaign to contain the spread of infection requires substantial financial investments; therefore, a trade-off exists between suppressing the epidemic and containing costs. Information exchange among individuals can occur as physical contacts (e.g., word of mouth, gatherings), which provide inherent possibilities of disease transmission, and non-physical contacts (e.g., email, social networks), through which information can be transmitted but the infection cannot be transmitted. Contact network (CN) incorporates physical contacts, and the information dissemination network (IDN) represents non-physical contacts, thereby generating a multilayer network structure. Inherent differences between these two layers cause alerting through CN to be more effective but more expensive than IDN. The constraint for an epidemic to die out derived from a nonlinear Perron-Frobenius problem that was transformed into a semi-definite matrix inequality and served as a constraint for a convex optimization problem. This method guarantees a dying-out epidemic by choosing the best nodes for adopting preventive behaviors with minimum monetary resources. Various numerical simulations with network models and a real-world social network validate our method.

    Citation: Heman Shakeri, Faryad Darabi Sahneh, Caterina Scoglio, Pietro Poggi-Corradini, Victor M. Preciado. Optimal information dissemination strategy to promote preventivebehaviors in multilayer epidemic networks[J]. Mathematical Biosciences and Engineering, 2015, 12(3): 609-623. doi: 10.3934/mbe.2015.12.609

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  • Launching a prevention campaign to contain the spread of infection requires substantial financial investments; therefore, a trade-off exists between suppressing the epidemic and containing costs. Information exchange among individuals can occur as physical contacts (e.g., word of mouth, gatherings), which provide inherent possibilities of disease transmission, and non-physical contacts (e.g., email, social networks), through which information can be transmitted but the infection cannot be transmitted. Contact network (CN) incorporates physical contacts, and the information dissemination network (IDN) represents non-physical contacts, thereby generating a multilayer network structure. Inherent differences between these two layers cause alerting through CN to be more effective but more expensive than IDN. The constraint for an epidemic to die out derived from a nonlinear Perron-Frobenius problem that was transformed into a semi-definite matrix inequality and served as a constraint for a convex optimization problem. This method guarantees a dying-out epidemic by choosing the best nodes for adopting preventive behaviors with minimum monetary resources. Various numerical simulations with network models and a real-world social network validate our method.


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