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2025 , Vol. 30 >Issue 3: 545 - 554

DOI: https://doi.org/10.1007/s12204-023-2642-7

Medicine-Engineering Interdisciplinary

Fuzzy Dynamic Optimal Model for COVID-19 Epidemic in India Based on Granular Differentiability

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  • 1. KG Reddy College of Engineering and Technology, Hyderabad, Telangana 500075, India; 2. Haldia Institute of Technology, Haldia 721657, India; 3. National Institute of Technology, Durgapur 713209, India; 4. Global Institute of Science & Technology, Haldia 721657, India; 5. XIM University, Bhubaneswar 751013, India; 6. Indian Institute of Technology, Kharagpur 721302, India

Received date: 2022-07-25

  Accepted date: 2022-12-23

  Online published: 2025-06-06

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Abstract

The pandemic SARS-CoV-2 has become an undying virus to spread a sustainable disease named COVID-19 for upcoming few years. Mortality rates are rising rapidly as approved drugs are not yet available. Isolation from the infected person or community is the preferred choice to protect our health. Since humans are the only carriers, it might be possible to control the positive rate if the infected population or host carriers are isolated from each other. Isolation alone may not be a proper solution. These are the resolutions of previous research work carried out on COVID-19 throughout the world. The present scenario of the world and public health is knocking hard with a big question of critical uncertainty of COVID-19 because of its imprecise database as per daily positive cases recorded all over the world and in India as well. In this research work, we have presented an optimal control model for COVID-19 using granular differentiability based on fuzzy dynamical systems. In the first step, we created a fuzzy Susceptible-Exposed-Infected-Asymptomatic-Hospitalized-Recovered-Death (SEIAHRD) model for COVID-19, analyzed it using granular differentiability, and reported disease dynamics for time-independent disease control parameters. In the second step, we upgraded the fuzzy dynamical system and granular differentiability model related to time-dependent disease control parameters as an optimal control problem invader. Theoretical studies have been validated with some practical data from the epidemic COVID-19 related to the Indian perspective during first wave and early second wave.

Cite this article

KHATUA Debnarayan, DE Anupam, KAR Samarjit, SAMANTA Eshan, SEKH Arif Ahmed, GUHA ADHYA Debashree . Fuzzy Dynamic Optimal Model for COVID-19 Epidemic in India Based on Granular Differentiability[J]. Journal of Shanghai Jiaotong University(Science), 2025 , 30(3) : 545 -554 . DOI: 10.1007/s12204-023-2642-7

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