IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v369y2020ics0096300319308860.html
   My bibliography  Save this article

How the individuals’ risk aversion affect the epidemic spreading

Author

Listed:
  • Han, Dun
  • Shao, Qi
  • Li, Dandan
  • Sun, Mei

Abstract

Some diseases can live in people for many years without making them sick, during this time, the bacteria can spread to others who come in contact with the infected person. However, explosive individuals in infected people will exhibit certain dominant states associated with infectious diseases, as a results, the uninfected persons will avoid contact with such individuals with dominant infectious diseases. Considering the individual’s ability to avoid risks in the epidemic season, we propose the epidemic spreading model with individuals’ sensitivity. The epidemic spreading threshold is calculated by means of the mean-field theory and the next-generation matrix method. In addition, the locally, globally and exponential asymptotically stable conditions in the disease-free equilibrium state are given. Finally, we simulate the proposed epidemic spreading modeling in the ER random network and the BA scale-free network. The numerical simulations results show that the probability of the latent individuals transforming into explosive individuals has a greater impact on the spread of infectious diseases. Meanwhile, self-protection is an effective measure to reduce the outbreak of infectious diseases.

Suggested Citation

  • Han, Dun & Shao, Qi & Li, Dandan & Sun, Mei, 2020. "How the individuals’ risk aversion affect the epidemic spreading," Applied Mathematics and Computation, Elsevier, vol. 369(C).
    • Handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308860
    DOI: 10.1016/j.amc.2019.124894
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319308860
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.124894?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. M. E. J. Newman & D. J. Watts, 1999. "Scaling and Percolation in the Small-World Network Model," Working Papers 99-05-034, Santa Fe Institute.
    2. Han, She & Sun, Mei & Ampimah, Benjamin Chris & Han, Dun, 2018. "Epidemic spread in bipartite network by considering risk awareness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1909-1916.
    3. Matjaž Perc & Mahmut Ozer & Janja Hojnik, 2019. "Correction: Social and juristic challenges of artificial intelligence," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-1, December.
    4. Dun, Han & Shuting, Yan & She, Han & Lingfei, Qian & Chris, Ampimah Benjamin, 2019. "Research on how the difference of personal propagation ability influences the epidemic spreading in activity-driven network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 311-318.
    5. Han, Dun & Sun, Mei, 2016. "An evolutionary vaccination game in the modified activity driven network by considering the closeness," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 49-57.
    6. Matjaž Perc & Mahmut Ozer & Janja Hojnik, 2019. "Social and juristic challenges of artificial intelligence," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-7, December.
    7. Eugenio Valdano & Chiara Poletto & Vittoria Colizza, 2015. "Infection propagator approach to compute epidemic thresholds on temporal networks: impact of immunity and of limited temporal resolution," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 88(12), pages 1-11, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chaeyoung Lee & Soobin Kwak & Junseok Kim, 2021. "Controlling COVID-19 Outbreaks with Financial Incentives," IJERPH, MDPI, vol. 18(2), pages 1-13, January.
    2. Munir Ahmad & Nadeem Akhtar & Gul Jabeen & Muhammad Irfan & Muhammad Khalid Anser & Haitao Wu & Cem Işık, 2021. "Intention-Based Critical Factors Affecting Willingness to Adopt Novel Coronavirus Prevention in Pakistan: Implications for Future Pandemics," IJERPH, MDPI, vol. 18(11), pages 1-28, June.
    3. Huang, He & Chen, Yahong & Ma, Yefeng, 2021. "Modeling the competitive diffusions of rumor and knowledge and the impacts on epidemic spreading," Applied Mathematics and Computation, Elsevier, vol. 388(C).
    4. Lv, Changchun & Yuan, Ziwei & Si, Shubin & Duan, Dongli & Yao, Shirui, 2022. "Cascading failure in networks with dynamical behavior against multi-node removal," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    5. Shao, Qi & Han, Dun, 2022. "Epidemic spreading in metapopulation networks with heterogeneous mobility rates," Applied Mathematics and Computation, Elsevier, vol. 412(C).
    6. Meng, Xueyu & Han, Sijie & Wu, Leilei & Si, Shubin & Cai, Zhiqiang, 2022. "Analysis of epidemic vaccination strategies by node importance and evolutionary game on complex networks," Reliability Engineering and System Safety, Elsevier, vol. 219(C).
    7. Duan, Dongli & Yan, Qi & Rong, Yisheng & Hou, Gege, 2022. "Predicting the cascading failure of dynamical networks based on a new dimension reduction method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 606(C).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Elias Fernández Domingos & Inês Terrucha & Rémi Suchon & Jelena Grujić & Juan Burguillo & Francisco Santos & Tom Lenaerts, 2022. "Delegation to artificial agents fosters prosocial behaviors in the collective risk dilemma," Post-Print hal-04296038, HAL.
    2. Xuli Tang & Xin Li & Feicheng Ma, 2022. "Internationalizing AI: evolution and impact of distance factors," Scientometrics, Springer;Akadémiai Kiadó, vol. 127(1), pages 181-205, January.
    3. Mohamed Alawadhi & Jumah Almazrouie & Mohammed Kamil & Khalil Abdelrazek Khalil, 0. "Review and analysis of the importance of autonomous vehicles liability: a systematic literature review," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 0, pages 1-23.
    4. Mohamed Alawadhi & Jumah Almazrouie & Mohammed Kamil & Khalil Abdelrazek Khalil, 2020. "Review and analysis of the importance of autonomous vehicles liability: a systematic literature review," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(6), pages 1227-1249, December.
    5. Emma Dahlin, 2021. "Mind the gap! On the future of AI research," Palgrave Communications, Palgrave Macmillan, vol. 8(1), pages 1-4, December.
    6. Mahmut Ozer & Matjaž Perc, 2020. "Dreams and realities of school tracking and vocational education," Palgrave Communications, Palgrave Macmillan, vol. 6(1), pages 1-7, December.
    7. Huang, Jiechen & Wang, Juan & Xia, Chengyi, 2020. "Role of vaccine efficacy in the vaccination behavior under myopic update rule on complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    8. Junyoung Park & Do-Hyung Park, 2019. "A Sustainable Project Management Strategy against Multitasking Situations from the Viewpoints of Cognitive Mechanism and Motivational Belief," Sustainability, MDPI, vol. 11(24), pages 1-16, December.
    9. Ehsan Nabavi & Chris Browne, 2023. "Leverage zones in Responsible AI: towards a systems thinking conceptualization," Palgrave Communications, Palgrave Macmillan, vol. 10(1), pages 1-9, December.
    10. Jean-Philippe Aguilar & Jan Korbel & Yuri Luchko, 2019. "Applications of the Fractional Diffusion Equation to Option Pricing and Risk Calculations," Mathematics, MDPI, vol. 7(9), pages 1-23, September.
    11. Lahtinen, Jani & Kertész, János & Kaski, Kimmo, 2005. "Sandpiles on Watts–Strogatz type small-worlds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(3), pages 535-547.
    12. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    13. Sun, Jiaqin & Fan, Ruguo & Luo, Ming & Zhang, Yingqing & Dong, Lili, 2018. "The evolution of cooperation in spatial prisoner’s dilemma game with dynamic relationship-based preferential learning," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 598-611.
    14. Floortje Alkemade & Carolina Castaldi, 2005. "Strategies for the Diffusion of Innovations on Social Networks," Computational Economics, Springer;Society for Computational Economics, vol. 25(1), pages 3-23, February.
    15. Huo, Liang’an & Song, Naixiang, 2016. "Dynamical interplay between the dissemination of scientific knowledge and rumor spreading in emergency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 73-84.
    16. Mark Newman, 1999. "Small Worlds: The Structure of Social Networks," Working Papers 99-12-080, Santa Fe Institute.
    17. I. Vieira & R. Cheng & P. Harper & V. Senna, 2010. "Small world network models of the dynamics of HIV infection," Annals of Operations Research, Springer, vol. 178(1), pages 173-200, July.
    18. Paolo Zeppini & Koen Frenken, 2015. "Networks, Percolation, and Demand," Department of Economics Working Papers 38/15, University of Bath, Department of Economics.
    19. Gancio, Juan & Rubido, Nicolás, 2022. "Critical parameters of the synchronisation's stability for coupled maps in regular graphs," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    20. Liu, Hao & Chen, Xin & Huo, Long & Zhang, Yadong & Niu, Chunming, 2022. "Impact of inter-network assortativity on robustness against cascading failures in cyber–physical power systems," Reliability Engineering and System Safety, Elsevier, vol. 217(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:369:y:2020:i:c:s0096300319308860. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.