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Robust optimal control of deterministic information epidemics with noisy transition rates

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  • Liu, Fangzhou
  • Zhang, Zengjie
  • Buss, Martin

Abstract

In this paper the robust optimal control of deterministic information epidemics is inspected taking into consideration the noisy transition rates. Distinct from conventional works, the heterogeneous susceptible–infected–susceptible (SIS) model is adopted where both the heterogeneities in the network topology and the individual diversity are considered. In light of the commonly existing noise in the transition processes, we address the robust optimal control problem aiming at maximizing the spreading performance at the finite time instant given a fixed budget. By using the distribution analysis techniques, the inspected problem is transformed to a constrained optimal control problem and solved by the Pontryagin Maximum Principle (PMP). A novel approach combining the forward–backward sweep method and the secant method is proposed to efficiently reduce the computation burden. The performance of the robust optimal control as well as the influence of the parameters is examined by numerical experiments in real social networks.

Suggested Citation

  • Liu, Fangzhou & Zhang, Zengjie & Buss, Martin, 2019. "Robust optimal control of deterministic information epidemics with noisy transition rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 577-587.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:577-587
    DOI: 10.1016/j.physa.2018.11.025
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    References listed on IDEAS

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    1. Michael McAsey & Libin Mou & Weimin Han, 2012. "Convergence of the forward-backward sweep method in optimal control," Computational Optimization and Applications, Springer, vol. 53(1), pages 207-226, September.
    2. repec:hal:pseose:hal-00812894 is not listed on IDEAS
    3. Nikolaos Askitas, 2017. "Explaining opinion polarisation with opinion copulas," PLOS ONE, Public Library of Science, vol. 12(8), pages 1-11, August.
    4. Qu, Bo & Wang, Huiijuan, 2017. "SIS epidemic spreading with correlated heterogeneous infection rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 13-24.
    5. Liu, Yun & Diao, Su-Meng & Zhu, Yi-Xiang & Liu, Qing, 2016. "SHIR competitive information diffusion model for online social media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 543-553.
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    Cited by:

    1. Lv, Wei & He, Hanfei & Li, Kezan, 2022. "Robust optimal control of a network-based SIVS epidemic model with time delay," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    2. Wang, Zhixiao & Rui, Xiaobin & Yuan, Guan & Cui, Jingjing & Hadzibeganovic, Tarik, 2021. "Endemic information-contagion outbreaks in complex networks with potential spreaders based recurrent-state transmission dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).

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