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Author:

Zhang, Jiajia (Zhang, Jiajia.) | Qiao, Yuanhua (Qiao, Yuanhua.) (Scholars:乔元华) | Zhang, Yan (Zhang, Yan.)

Indexed by:

EI Scopus SCIE

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.

Keyword:

epidemic model globally stable COVID-19 optimal control sensitivity analysis

Author Community:

  • [ 1 ] [Zhang, Jiajia]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
  • [ 2 ] [Qiao, Yuanhua]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Yan]Beijing Univ Technol, Fac Sci, Beijing 100124, Peoples R China

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Source :

MATHEMATICAL BIOSCIENCES AND ENGINEERING

ISSN: 1547-1063

Year: 2022

Issue: 5

Volume: 19

Page: 4911-4932

2 . 6

JCR@2022

2 . 6 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:20

JCR Journal Grade:2

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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