A Fractional Ordered COVID-19 Model Incorporating Comorbidity and Vaccination

被引:9
作者
Das, Meghadri [1 ]
Samanta, Guruprasad [1 ]
De la Sen, Manuel [2 ]
机构
[1] Indian Inst Engn Sci & Technol, Dept Math, Sibpur 711103, Howrah, India
[2] Univ Basque Country, Inst Res & Dev Proc, Leioa 48940, Spain
关键词
Caputo fractional differential equation; COVID-19; stability; sensitivity index; control; DIFFERENTIAL-EQUATIONS; LINEAR-MODELS; DISSIPATION;
D O I
10.3390/math9212806
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The primary goal of this research is to investigate COVID-19 transmission patterns in West Bengal, India in 2021; the first Coronavirus illness (COVID-19) in West Bengal was revealed on 17 March 2020. We employed the modified Susceptible-Asymptomatic-Vaccinated-Comorbidity-Infectious-Recovered (SAVICR) compartmental model as part of fractional orders because of the uncertainty created by the limited Coronavirus (COVID-19) information. In this article, two sub-compartments (Normal Infected and Infected with Co-morbidity) has been considered with vaccinated class, which is relevant in the present situation. We have studied the dynamical analysis of the system and also studied sensitivity of the parameters for est Bengal framework. We have also considered an optimal control problem taking social distancing (non-pharmaceutical treatments) as a control parameter along with vaccination.
引用
收藏
页数:27
相关论文
共 46 条
[1]   The COVID-19 pandemic calls for spatial distancing and social closeness: not for social distancing! [J].
Abel, Thomas ;
McQueen, David .
INTERNATIONAL JOURNAL OF PUBLIC HEALTH, 2020, 65 (03) :231-231
[2]   A general formulation and solution scheme for fractional optimal control problems [J].
Agrawal, OP .
NONLINEAR DYNAMICS, 2004, 38 (1-4) :323-337
[3]   On some Routh-Hurwitz conditions for fractional order differential equations and their applications in Lorenz, Rossler, Chua and Chen systems [J].
Ahmed, E. ;
El-Sayed, A. M. A. ;
El-Saka, Hala A. A. .
PHYSICS LETTERS A, 2006, 358 (01) :1-4
[4]  
[Anonymous], 2002, Fractional Calculus and Applied Analysis, DOI DOI 10.48550/ARXIV.MATH/0110241
[5]   LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].
CAPUTO, M .
GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&
[6]  
CAPUTO M, 1966, ANN GEOFIS, V19, P383
[7]  
Das M., 2021, COMPUTATIONAL MATH B, V9, P22, DOI DOI 10.1515/CMB-2020-0116
[8]   Optimal control of a fractional order epidemic model with carriers [J].
Das, Meghadri ;
Samanta, G. P. .
INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2022, 10 (02) :598-619
[9]   Stability Analysis and Optimal Control of a Fractional Order Synthetic Drugs Transmission Model [J].
Das, Meghadri ;
Samanta, Guruprasad ;
De la sen, Manuel .
MATHEMATICS, 2021, 9 (07)
[10]  
Das Meghadri, 2020, Biophysical Reviews and Letters, V15, P207, DOI 10.1142/S179304802050006X