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A fractional-order model of COVID-19 considering the fear effect of the media and social networks on the community

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  • Bozkurt, Fatma
  • Yousef, Ali
  • Abdeljawad, Thabet
  • Kalinli, Adem
  • Mdallal, Qasem Al

Abstract

Since December 2019, the world has experienced from a virus, known as Covid-19, that is highly transmittable and is now spread worldwide. Many mathematical models and studies have been implemented to work on the infection and transmission risks. Besides the virus's transmission effect, another discussion appears in the community: the fear effect. People who have never heard about coronavirus, face every day uncertain and different information regarding the effect of the virus and the daily death rates from sources like the media, the medical institutions or organizations. Thus, the fear of the virus in the community can possibly reach the point that people become scared and confused about information polluted from different networks with long-term trend discussions. In this work, we use the Routh-Hurwitz Criteria to analyze the local stability of two essential critical points: the disease-free and the co-existing critical point. Using the discretization process, our analysis have shown that one should distinguish between the spread of “awareness” or “fear” in the community through the media and others to control the virus's transmission. Finally, we conclude our theoretical findings with numerical simulations.

Suggested Citation

  • Bozkurt, Fatma & Yousef, Ali & Abdeljawad, Thabet & Kalinli, Adem & Mdallal, Qasem Al, 2021. "A fractional-order model of COVID-19 considering the fear effect of the media and social networks on the community," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007578
    DOI: 10.1016/j.chaos.2021.111403
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    1. Fan Wu & Su Zhao & Bin Yu & Yan-Mei Chen & Wen Wang & Zhi-Gang Song & Yi Hu & Zhao-Wu Tao & Jun-Hua Tian & Yuan-Yuan Pei & Ming-Li Yuan & Yu-Ling Zhang & Fa-Hui Dai & Yi Liu & Qi-Min Wang & Jiao-Jiao , 2020. "Author Correction: A new coronavirus associated with human respiratory disease in China," Nature, Nature, vol. 580(7803), pages 7-7, April.
    2. Liu, Xiaoli & Xiao, Dongmei, 2007. "Complex dynamic behaviors of a discrete-time predator–prey system," Chaos, Solitons & Fractals, Elsevier, vol. 32(1), pages 80-94.
    3. Fan Wu & Su Zhao & Bin Yu & Yan-Mei Chen & Wen Wang & Zhi-Gang Song & Yi Hu & Zhao-Wu Tao & Jun-Hua Tian & Yuan-Yuan Pei & Ming-Li Yuan & Yu-Ling Zhang & Fa-Hui Dai & Yi Liu & Qi-Min Wang & Jiao-Jiao , 2020. "A new coronavirus associated with human respiratory disease in China," Nature, Nature, vol. 579(7798), pages 265-269, March.
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    Cited by:

    1. Zhao, Jie & Wang, Zhen & Yu, Dengxiu & Cao, Jinde & Cheong, Kang Hao, 2024. "Swarm intelligence for protecting sensitive identities in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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