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

JOURNAL OF APPLIED NONLINEAR DYNAMICS(2023)

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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.
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关键词
Covid-19,Bangladesh,India,Stability,Bifurcation,Stochasticity
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