Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional

被引:40
|
作者
Xu, Changjin [1 ]
Farman, Muhammad [2 ]
Hasan, Ali [3 ]
Akgul, Ali [4 ]
Zakarya, Mohammed [5 ]
Albalawi, Wedad [6 ]
Park, Choonkil [7 ]
机构
[1] Guizhou Univ Finance & Econ, Guizhou Key Lab Econ Syst Simulat, Guiyang 550025, Peoples R China
[2] Khawaja Fareed Univ Engn & Informat Technol, Dept Math, Rahim Yar Khan, Pakistan
[3] Univ Lahore, Dept Math & Stat, Lahore 54590, Pakistan
[4] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey
[5] King Khalid Univ, Coll Sci, Dept Math, POB 9004, Abha 61413, Saudi Arabia
[6] Princess Nourah bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia
[7] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
关键词
Omicron; Stability; Atangana-Toufik; Lyapunov stability; Second derivative Equilib-rium point; TRANSMISSION; MODEL;
D O I
10.1016/j.aej.2022.05.025
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The fractional derivative is an advanced category of mathematics for real-life problems. This work focus on the investigation of 2nd wave of the Corona virus in India. We develop a time fractional order COVID-19 model with effects of the disease which consist of a system of fractional differential equations. The fractional-order COVID-19 model is investigated with AtanganaBaleanu-Caputo fractional derivative. Also, the deterministic mathematical model for the Omicron effect is investigated with different fractional parameters. The fractional-order system is analyzed qualitatively as well as verified sensitivity analysis. Fixed point theory is used to prove the existence and uniqueness of the fractional-order model. Analyzed the model locally as well as globally using Lyapunov first and second derivative. Boundedness and positive unique solutions are verified for the fractional-order model of infection of disease. The concept of fixed point theory is used to interrogate the problem and confine the solution. Solutions are derived to investigate the influence of fractional operator which shows the impact of the disease on society. Simulation has been made to understand the behavior of the virus.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).
引用
收藏
页码:11787 / 11802
页数:16
相关论文
共 50 条
  • [1] Omicron Variant in Mexico: the Fourth COVID-19 Wave
    De La Cruz-Hernandez, Sergio Isaac
    Alvarez-Contreras, Ana Karen
    [J]. DISASTER MEDICINE AND PUBLIC HEALTH PREPAREDNESS, 2022,
  • [2] Warning of the COVID-19 Novel Variant: Is the COVID-19 Omicron Variant a Real Danger for Cancer Patients or Not?
    Ghalibaf, Amir Ali Moodi
    Rad, Mina Akbari
    Karizmeh, Mehdi Ataee
    [J]. IRANIAN RED CRESCENT MEDICAL JOURNAL, 2022, 24 (06)
  • [3] Fractal-fractional operator for COVID-19 (Omicron) variant outbreak with analysis and modeling
    Farman, Muhammad
    Amin, Maryam
    Akguel, Ali
    Ahmad, Aqeel
    Riaz, Muhammad Bilal
    Ahmad, Sheraz
    [J]. RESULTS IN PHYSICS, 2022, 39
  • [4] COVID-19 Vaccines against Omicron Variant: Real-World Data on Effectiveness
    Kherabi, Yousra
    Launay, Odile
    Liem Binh Luong Nguyen
    [J]. VIRUSES-BASEL, 2022, 14 (10):
  • [5] Fractional SEIR model and data-driven predictions of COVID-19 dynamics of Omicron variant
    Cai, Min
    Em Karniadakis, George
    Li, Changpin
    [J]. CHAOS, 2022, 32 (07)
  • [6] A fractional order mathematical model for the omicron: a new variant of COVID-19
    Diyar, Raham
    Ahmad, Imtiaz
    Ali, Nigar
    Haq, Ihtisham Ul
    Idrees, Mohammad
    Daher Albalwi, Mohammed
    [J]. Physica Scripta, 2024, 99 (11)
  • [7] Algeria's preparedness for Omicron variant and for the fourth wave of COVID-19
    Aouissi, Hani Amir
    [J]. GLOBAL HEALTH & MEDICINE, 2021, 3 (06): : 413 - 414
  • [8] Global spreading of Omicron variant of COVID-19
    Zhang, Pengxin
    Yang, Shuhan
    Dai, Shaoqing
    Aik, Darren How Jin
    Yang, Shujuan
    Jia, Peng
    [J]. GEOSPATIAL HEALTH, 2022, 17
  • [9] Omicron variant and booster COVID-19 vaccines
    Burki, Talha Khan
    [J]. LANCET RESPIRATORY MEDICINE, 2022, 10 (02): : E17 - E17
  • [10] Lyapunov Stability Analysis of Covid-19 SIRV Model
    Mahayana, Dimitri
    [J]. 2022 IEEE 18TH INTERNATIONAL COLLOQUIUM ON SIGNAL PROCESSING & APPLICATIONS (CSPA 2022), 2022, : 287 - 292