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Modeling individual fear factor with optimal control in a disease-dynamic system

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  • Chen, Yuyang
  • Bi, Kaiming
  • Zhao, Songnian
  • Ben-Arieh, David
  • Wu, Chih-Hang John

Abstract

This paper proposes a new, information-transmission-based behavior-switch that applies the individual fear factor (IFF) to describe how information regarding current disease epidemics can cause human behavior change in a disease-dynamic system. This research is a first attempt to mathematically model how an individual's emotions influence behavior. The approach can be used to study the relationship of information dissemination (e.g., broadcasting, public health education, news media, etc.) and human behaviors during disease outbreaks. The expression of IFF and a mathematical IFF model that combines human behaviors with a classic SIR model is presented, and an optimal strategy that reduces the number of infected individuals and financial loss due to switch behaviors is proposed. In particular, model stability is analyzed and corresponding necessary conditions are determined. This novel modeling approach shows that information transmission influence individual fear, resulting in a variety of human behaviors and leading to numerous disease consequences.

Suggested Citation

  • Chen, Yuyang & Bi, Kaiming & Zhao, Songnian & Ben-Arieh, David & Wu, Chih-Hang John, 2017. "Modeling individual fear factor with optimal control in a disease-dynamic system," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 531-545.
    • Handle: RePEc:eee:chsofr:v:104:y:2017:i:c:p:531-545
    DOI: 10.1016/j.chaos.2017.09.001
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    References listed on IDEAS

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    Cited by:

    1. Shao, Quan & Wang, Hong & Zhu, Pei & Dong, Min, 2021. "Group emotional contagion and simulation in large-scale flight delays based on the two-layer network model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).
    2. Tengfei Wang & Shaoli Wang & Fei Xu, 2022. "Bistability and Robustness for Virus Infection Models with Nonmonotonic Immune Responses in Viral Infection Systems," Mathematics, MDPI, vol. 10(12), pages 1-20, June.
    3. Yi-Fang Luo & Shu-Ching Yang & Shih-Chieh Hung & Kun-Yi Chou, 2022. "Exploring the Impacts of Preventative Health Behaviors with Respect to COVID-19: An Altruistic Perspective," IJERPH, MDPI, vol. 19(13), pages 1-14, June.
    4. Ihtisham Ul Haq & Numan Ullah & Nigar Ali & Kottakkaran Sooppy Nisar, 2022. "A New Mathematical Model of COVID-19 with Quarantine and Vaccination," Mathematics, MDPI, vol. 11(1), pages 1-21, December.
    5. Sharbayta, Sileshi Sintayehu & Buonomo, Bruno & d'Onofrio, Alberto & Abdi, Tadesse, 2022. "‘Period doubling’ induced by optimal control in a behavioral SIR epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).

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