Transmission Dynamics and Control of COVID-19: A Mathematical Modelling Study

被引:1
|
作者
Das, Kalyan [1 ]
Srinivas, M. N. [2 ]
Shahrear, Pabel [3 ]
Rahman, S. M. Saydur [3 ]
Nahid, Md M. H. [4 ]
Murthy, B. S. N. [5 ]
机构
[1] Natl Inst Food Technol Entrepreneurship & Manageme, Dept Basic & Appl Sci, HSIIDC Ind Estate, Kundli 131028, Haryana, India
[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore, Tamilnadu, India
[3] Shahjalal Univ Sci & Technol, Dept Math, Sylhet, Bangladesh
[4] Shahjalal Univ Sci & Technol, Dept Comp Sci & Engn, Sylhet, Bangladesh
[5] Aditya Coll Engn & Technol, Dept Math, JNTUK, Surampalem, Andhrapradesh, India
关键词
Covid-19; Bangladesh; India; Stability; Bifurcation; Stochasticity; POPULATION BIOLOGY; CHALLENGES; EPIDEMICS;
D O I
10.5890/JAND.2023.06.015
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We look at the SQIRP mathematical model for new coronavirus transmission in Bangladesh and India in this study. The basic re-production number of the SQIRP system is designed using the next cohort matrix process. The SQIRP system has asymptotically stable locally at an infection-free equilibrium point when the basic repro-duction number is not more than unity and unsteady when the value is greater than unity. The SQIRP system is found to go through a backward bifurcation, which is a novel perspective for Coronavirus infection transmission. The infection-free equilibrium and endemic equilibrium are shown to be asymptotically stable globally using the Lyapunov function hypothesis and the invariance principle of Lasalle. A SQIRP system with backward bifurcation is explored using stochas-tic analysis. The ecological stochasticity in the appearance of white noise best describes the system's value. To verify the results, more numerical simulations are run.(c) 2023 L&H Scientific Publishing, LLC. All rights reserved.
引用
收藏
页码:405 / 425
页数:21
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