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Self organizing maps for the parametric analysis of COVID-19 SEIRS delayed model

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  • Yu, Zhenhua
  • Arif, Robia
  • Fahmy, Mohamed Abdelsabour
  • Sohail, Ayesha

Abstract

Since 2019, entire world is facing the accelerating threat of Corona Virus, with its third wave on its way, although accompanied with several vaccination strategies made by world health organization. The control on the transmission of the virus is highly desired, even though several key measures have already been made, including masks, sanitizing and disinfecting measures. The ongoing research, though devoted to this pandemic, has certain flaws, due to which no permanent solution has been discovered. Currently different data based studies have emerged but unfortunately, the pandemic fate is still unrevealed. During this research, we have focused on a compartmental model, where delay is taken into account from one compartment to another. The model depicts the dynamics of the disease relative to time and constant delays in time. A deep learning technique called “Self Organizing Map” is used to extract the parametric values from the data repository of COVID-19. The input we used for SOM are the attributes on which, the variables are dependent. Different grouping/clustering of patients were achieved with 2- dimensional visualization of the input data (https://creativecommons.org/licenses/by/2.0/). Extensive stability analysis and numerical results are presented in this manuscript which can help in designing control measures.

Suggested Citation

  • Yu, Zhenhua & Arif, Robia & Fahmy, Mohamed Abdelsabour & Sohail, Ayesha, 2021. "Self organizing maps for the parametric analysis of COVID-19 SEIRS delayed model," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    • Handle: RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921005567
    DOI: 10.1016/j.chaos.2021.111202
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    References listed on IDEAS

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    1. Din, Anwarud & Khan, Amir & Baleanu, Dumitru, 2020. "Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Clouston, Sean A.P. & Natale, Ginny & Link, Bruce G., 2021. "Socioeconomic inequalities in the spread of coronavirus-19 in the United States: A examination of the emergence of social inequalities," Social Science & Medicine, Elsevier, vol. 268(C).
    3. Du, Hongyue & Zeng, Qingshuang & Wang, Changhong, 2009. "Modified function projective synchronization of chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2399-2404.
    4. Baleanu, Dumitru & Jajarmi, Amin & Mohammadi, Hakimeh & Rezapour, Shahram, 2020. "A new study on the mathematical modelling of human liver with Caputo–Fabrizio fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    5. Seiya Ozono & Yanzhao Zhang & Hirotaka Ode & Kaori Sano & Toong Seng Tan & Kazuo Imai & Kazuyasu Miyoshi & Satoshi Kishigami & Takamasa Ueno & Yasumasa Iwatani & Tadaki Suzuki & Kenzo Tokunaga, 2021. "SARS-CoV-2 D614G spike mutation increases entry efficiency with enhanced ACE2-binding affinity," Nature Communications, Nature, vol. 12(1), pages 1-9, December.
    6. Mahmoudi, Mohammad Reza & Baleanu, Dumitru & Mansor, Zulkefli & Tuan, Bui Anh & Pho, Kim-Hung, 2020. "Fuzzy clustering method to compare the spread rate of Covid-19 in the high risks countries," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    7. Chen, Wei-Ching, 2008. "Nonlinear dynamics and chaos in a fractional-order financial system," Chaos, Solitons & Fractals, Elsevier, vol. 36(5), pages 1305-1314.
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    Cited by:

    1. Ayesha Sohail, 2023. "Genetic Algorithms in the Fields of Artificial Intelligence and Data Sciences," Annals of Data Science, Springer, vol. 10(4), pages 1007-1018, August.
    2. Thumma, Thirupathi & Mishra, S.R. & Abbas, M. Ali & Bhatti, M.M. & Abdelsalam, Sara I., 2022. "Three-dimensional nanofluid stirring with non-uniform heat source/sink through an elongated sheet," Applied Mathematics and Computation, Elsevier, vol. 421(C).
    3. Yu, Zhenhua & Gao, Hongxia & Wang, Dan & Alnuaim, Abeer Ali & Firdausi, Muhammad & Mostafa, Almetwally M., 2022. "SEI2RS malware propagation model considering two infection rates in cyber–physical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    4. Yang, Bo & Yu, Zhenhua & Cai, Yuanli, 2022. "The impact of vaccination on the spread of COVID-19: Studying by a mathematical model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    5. Wang, Fuzhang & Idrees, M & Sohail, Ayesha, 2022. "“AI-MCMC” for the parametric analysis of the hormonal therapy of cancer," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    6. Vashishth, Anil K. & Basaiti, Komal, 2024. "Modeling the effect of non-pharmaceutical measures and vaccination on the spread of two variants of COVID-19 in India," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 217(C), pages 139-168.

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