Coronavirus dynamics, infections and preventive interventions using fractional-calculus analysis

AIMS Mathematics

article

Salah Boulaaras¹  Ziad Ur Rehman²  Farah Aini Abdullah³  Rashid Jan²  Mohamed Abdalla⁴  Asif Jan⁵ 

[1] Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University;Department of Mathematics, University of Swabi;School of Mathematical Sciences, Universiti Sains Malaysia;Mathematics Department, College of Science, King Khalid University;Department of Pathogenic Microbiology Immunology, School of Basic Medical Sciences, Xiaan Jiaotong University

关键词: COVID-19 infection;    mathematical model;    vaccination;    fractional dynamics;    stability results;    dynamical behavior;   

DOI  :  10.3934/math.2023436

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

In this research work, we construct an epidemic model to understand COVID-19 transmission vaccination and therapy considerations. The model's equilibria were examined, and the reproduction parameter was calculated via a next-generation matrix method, symbolized by $ \mathcal{R}_0 $. We have shown that the infection-free steady state of our system is locally asymptotically stable for $ \mathcal{R}_0 1 $. We have used a partial rank correlation coefficient method for sensitivity analysis of the threshold parameter $ \mathcal{R}_0 $. The contribution of vaccination to the threshold parameter is explored through graphical results. In addition to this, the uniqueness and existence of the solution to the postulated model of COVID-19 infection is shown. We ran various simulations of the proposed COVID-19 dynamics with varied input parameters to scrutinize the complex dynamics of COVID-19 infection. We illustrated the variation in the dynamical behavior of the system with different values of the input parameters. The key factors of the system are visualized for the public health officials for the control of the infection.

【 授权许可】

CC BY