Stability analysis of COVID-19 model with fractional-order derivative and a delay in implementing the quarantine strategy

被引:9
作者
Hikal, M. M. [1 ,2 ]
Elsheikh, M. M. A. [3 ]
Zahra, W. K. [1 ,4 ]
机构
[1] Tanta Univ, Fac Engn, Dept Engn Phys & Math, Tanta, Egypt
[2] Higher Inst Engn & Technol Kafrelsheikh, Dept Basic Sci, Kafr Al Sheikh, Egypt
[3] Menoufia Univ, Fac Sci, Dept Math, Shibin Al Kawm, Egypt
[4] Egypt Japan Univ Sci & Technol E JUST, Inst Basic & Appl Sci, Dept Math, Alexandria 21934, Egypt
关键词
Stability analysis; SEIRUS covid-19 epidemic model; Caputo fractional derivative;
D O I
10.1007/s12190-021-01515-y
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This study presents methods of hygiene and the use of masks to control the disease. The zero basic reproduction number can be achieved by taking the necessary precautionary measures that prevent the transmission of infection, especially from uninfected virus carriers. The existence of time delay in implementing the quarantine strategy and the threshold values of the time delay that keeping the stability of the system are established. Also, it is found that keeping the infected people quarantined immediately is very important in combating and controlling the spread of the disease. Also, for special cases of the system parameters, the time delay can not affect the asymptotic behavior of the disease. Finally, numerical simulations have been illustrated to validate the theoretical analysis of the proposed model.
引用
收藏
页码:295 / 321
页数:27
相关论文
共 50 条
[41]   A fractional-order love dynamical model with a time delay for a non-synergic couple: stability analysis and Hopf bifurcation [J].
Panigrahi, Santoshi ;
Chand, Sunita .
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2023, 18 (03) :245-254
[42]   Nyquist-based stability analysis of non-commensurate fractional-order delay systems [J].
Zhang, Shuo ;
Liu, Lu ;
Xue, Dingyu .
APPLIED MATHEMATICS AND COMPUTATION, 2020, 377
[43]   Stability Analysis of Fractional-Order Nonlinear Alcohol Consumption Model and Numerical Simulation [J].
Sivashankar, Murugesan ;
Boulaaras, Salah ;
Sabarinathan, Sriramulu .
FRACTAL AND FRACTIONAL, 2025, 9 (02)
[44]   Stability analysis of fractional-order delayed neural networks [J].
Li, Ruoxia ;
Cao, Jinde ;
Alsaedi, Ahmad ;
Alsaadi, Fuad .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2017, 22 (04) :505-520
[45]   Investigation of Nonstandard Finite Difference for Fractional Order Covid-19 Model [J].
Merdan, Mehmet ;
Acikgoz, Pinar .
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2025, 38 (02) :874-889
[46]   A fractional order mathematical model for the omicron: a new variant of COVID-19 [J].
Diyar, Raham ;
Ahmad, Imtiaz ;
Ali, Nigar ;
Haq, Ihtisham Ul ;
Idrees, Mohammad ;
Daher Albalwi, Mohammed .
PHYSICA SCRIPTA, 2024, 99 (11)
[47]   Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission [J].
Arshad, Sadia ;
Siddique, Imran ;
Nawaz, Fariha ;
Shaheen, Aqila ;
Khurshid, Hina .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2023, 609
[48]   A robust study of a piecewise fractional order COVID-19 mathematical model [J].
Zeb, Anwar ;
Atangana, Abdon ;
Khan, Zareen A. ;
Djillali, Salih .
ALEXANDRIA ENGINEERING JOURNAL, 2022, 61 (07) :5649-5665
[49]   Fractional Order Model for the Role of Mild Cases in the Transmission of COVID-19 [J].
Baba, Isa Abdullahi ;
Nasidi, Bashir Ahmad .
CHAOS SOLITONS & FRACTALS, 2021, 142
[50]   Dynamic analysis of a class of fractional-order neural networks with delay [J].
Chen, Liping ;
Chai, Yi ;
Wu, Ranchao ;
Ma, Tiedong ;
Zhai, Houzhen .
NEUROCOMPUTING, 2013, 111 :190-194