Iranian Journal of Biomedical Engineering (IJBME)
نشریه علمی مهندسی پزشکی زیستی

Analysis of Fractional Order SEIR Model for Covid 19 and Investigation of its Spread Management with a Novel Adaptive Fractional Order Nonlinear Controller

Document Type : Full Research Paper

Authors

Amir Veisi 1
Hadi Delavari 2

1 M.Sc. Student, Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran

2 Associate Professor, Department of Electrical Engineering, Hamedan University of Technology, Hamedan, Iran

https://doi.org/10.22041/ijbme.2021.523157.1662
Abstract
Coronavirus, or Covid 19, is a contagious disease caused by the coronavirus and is a threat to the health and economy of countries. Although vaccine production and distribution are currently underway, but non-pharmacological interventions are still being implemented as an important and fundamental strategy to control the spread of the virus in countries around the world. Now, according to the existing conditions, having a suitable dynamic model of this disease will provide information to the relevant authorities about the behavior, prevalence, speed of transmission, and other parameters. Various mathematical modeling methods have been proposed to analyze the transmission patterns of this new disease. In this paper, using fractional calculus, the dynamics of Covid 19 will be investigated. One of the major advantages of fractional calculus, which can be very effective in modeling and controlling epidemics, is its long-term memory property. With a dynamic model of virus transmission and prevalence, focusing on a control strategy based on non-pharmacological interventions can be important. In this paper, a new adaptive fractional order sliding mode controller is proposed for non-pharmacological decisions. The proposed method in this paper for controlling non-pharmacological interventions is an adaptive fractional order active sliding mode control, which can have a good performance due to its robustness against parameter uncertainty and system disturbances.

Keywords

Covid 19
Fractional Order SEIR Model
Fractional Calculus
Sliding Mode Control
Fractional Adaptation Law
Subjects
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Iranian Journal of Biomedical Engineering (IJBME)
Volume 15, Issue 2
Summer 2021
Pages 127-139

  • Receive Date 15 January 2021
  • Revise Date 26 April 2021
  • Accept Date 20 May 2021

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