Stability analysis and optimal control of Covid-19 pandemic SEIQR fractional mathematical model with harmonic mean type incidence rate and treatment.
Results Phys
; 22: 103873, 2021 Mar.
Article
in English
| MEDLINE | ID: covidwho-1057291
ABSTRACT
In the present work, we investigated the transmission dynamics of fractional order SARS-CoV-2 mathematical model with the help of Susceptible S ( t ) , Exposed E ( t ) , Infected I ( t ) , Quarantine Q ( t ) , and Recovered R ( t ) . The aims of this work is to investigate the stability and optimal control of the concerned mathematical model for both local and global stability by third additive compound matrix approach and we also obtained threshold value by the next generation approach. The author's visualized the desired results graphically. We also control each of the population of underlying model with control variables by optimal control strategies with Pontryagin's maximum Principle and obtained the desired numerical results by using the homotopy perturbation method. The proposed model is locally asymptotically unstable, while stable globally asymptotically on endemic equilibrium. We also explored the results graphically in numerical section for better understanding of transmission dynamics.
Full text:
Available
Collection:
International databases
Database:
MEDLINE
Type of study:
Observational study
Topics:
Variants
Language:
English
Journal:
Results Phys
Year:
2021
Document Type:
Article
Affiliation country:
J.rinp.2021.103873
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