Stability analysis and optimal control of COVID-19 with quarantine and media awareness.
Math Biosci Eng
; 19(5): 4911-4932, 2022 03 14.
Article
in English
| MEDLINE | ID: covidwho-1776397
ABSTRACT
In this paper, an improved COVID-19 model is given to investigate the influence of treatment and media awareness, and a non-linear saturated treatment function is introduced in the model to lay stress on the limited medical conditions. Equilibrium points and their stability are explored. Basic reproduction number is calculated, and the global stability of the equilibrium point is studied under the given conditions. An object function is introduced to explore the optimal control strategy concerning treatment and media awareness. The existence, characterization and uniqueness of optimal solution are studied. Several numerical simulations are given to verify the analysis results. Finally, discussion on treatment and media awareness is given for prevention and treatment of COVID-19.
Keywords
Full text:
Available
Collection:
International databases
Database:
MEDLINE
Main subject:
Communications Media
/
Epidemics
/
COVID-19
Limits:
Humans
Language:
English
Journal:
Math Biosci Eng
Year:
2022
Document Type:
Article
Affiliation country:
Mbe.2022230
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