TY - JOUR
T1 - Modeling and Dynamics of the Fractional Order SARS-CoV-2 Epidemiological Model
AU - Khan, Tahir
AU - Ullah, Roman
AU - Yousef, Ali
AU - Zaman, Gul
AU - Al-Mdallal, Qasem M.
AU - Alraey, Yasser
N1 - Publisher Copyright:
© 2022 Tahir Khan et al.
PY - 2022
Y1 - 2022
N2 - We propose a theoretical study to investigate the spread of the SARS-CoV-2 virus, reported in Wuhan, China. We develop a mathematical model based on the characteristic of the disease and then use fractional calculus to fractionalize it. We use the Caputo-Fabrizio operator for this purpose. We prove that the considered model has positive and bounded solutions. We calculate the threshold quantity of the proposed model and discuss its sensitivity analysis to find the role of every epidemic parameter and the relative impact on disease transmission. The threshold quantity (reproductive number) is used to discuss the steady states of the proposed model and to find that the proposed epidemic model is stable asymptotically under some constraints. Both the global and local properties of the proposed model will be performed with the help of the mean value theorem, Barbalat's lemma, and linearization. To support our analytical findings, we draw some numerical simulations to verify with graphical representations.
AB - We propose a theoretical study to investigate the spread of the SARS-CoV-2 virus, reported in Wuhan, China. We develop a mathematical model based on the characteristic of the disease and then use fractional calculus to fractionalize it. We use the Caputo-Fabrizio operator for this purpose. We prove that the considered model has positive and bounded solutions. We calculate the threshold quantity of the proposed model and discuss its sensitivity analysis to find the role of every epidemic parameter and the relative impact on disease transmission. The threshold quantity (reproductive number) is used to discuss the steady states of the proposed model and to find that the proposed epidemic model is stable asymptotically under some constraints. Both the global and local properties of the proposed model will be performed with the help of the mean value theorem, Barbalat's lemma, and linearization. To support our analytical findings, we draw some numerical simulations to verify with graphical representations.
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U2 - 10.1155/2022/3846904
DO - 10.1155/2022/3846904
M3 - Article
AN - SCOPUS:85139591011
SN - 1076-2787
VL - 2022
JO - Complexity
JF - Complexity
M1 - 3846904
ER -