An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect

被引：40
作者：
Raza, Ali [1 ]
Ahmadian, Ali [2 ,5 ,6 ,7 ]
Rafiq, Muhammad [3 ]
Salahshour, Soheil [4 ]
Ferrara, Massimiliano [5 ,6 ,8 ]
机构：
[1] Natl Coll Business Adm & Econ Lahore, Dept Math, Rahim Yar Khan, Pakistan
[2] Natl Univ Malaysia, Inst Visual Informat, UKM, Bangi 43600, Selangor, Malaysia
[3] Univ Cent Punjab, Fac Sci, Dept Math, Lahore, Pakistan
[4] Bahcesehir Univ, Fac Engn & Nat Sci, Istanbul, Turkey
[5] Univ Mediterranea Reggio Calabria, Dept Law Econ & Human Sci, I-89125 Reggio Di Calabria, Italy
[6] Univ Mediterranea Reggio Calabria, Decis Lab, I-89125 Reggio Di Calabria, Italy
[7] Wenzhou Kean Univ, Coll Sci & Technol, Sch Math Sci, Wenzhou, Peoples R China
[8] Bocconi Univ, Dept Management & Technol, ICRIOS Invernizzi Ctr Res Innovat Org Strategy &, Via Sarfatti 25, I-20136 Milan, MI, Italy
来源：
RESULTS IN PHYSICS | 2021年 / 21卷
关键词：
Coronavirus; Nonlinear delay pandemic model; Reproduction number; Stability; Computer simulations; MATHEMATICAL-MODEL; EPIDEMIC; WUHAN;
D O I：
10.1016/j.rinp.2020.103771
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In the present study, a nonlinear delayed coronavirus pandemic model is investigated in the human population. For study, we find the equilibria of susceptible-exposed-infected-quarantine-recovered model with delay term. The stability of the model is investigated using well-posedness, Routh Hurwitz criterion, Volterra Lyapunov function, and Lasalle invariance principle. The effect of the reproduction number on dynamics of disease is analyzed. If the reproduction number is less than one then the disease has been controlled. On the other hand, if the reproduction number is greater than one then the disease has become endemic in the population. The effect of the quarantine component on the reproduction number is also investigated. In the delayed analysis of the model, we investigated that transmission dynamics of the disease is dependent on delay terms which is also reflected in basic reproduction number. At the end, to depict the strength of the theoretical analysis of the model, computer simulations are presented.
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页数：7
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