Stability Analysis of SIQS Mathematical Model for Pandemic Coronavirus Spread

IF 0.6 Q3 ENGINEERING, MULTIDISCIPLINARY Journal of Applied Nonlinear Dynamics Pub Date : 2022-09-01 DOI:10.5890/jand.2022.09.006
V. Verma
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Abstract

In this paper, we approach conceptual mathematical models for COVID-19 eruption and it’s abstinence metering;quarantine. In this circumstance, mathematical models are a grandly tool to make use of an impressive strategy in order to fight against this pandemic. We define the positivity, boundedness of solutions and basic reproduction number. Then, we study local and global stability analysis of equilibrium to examine its epidemiological relevance. Our model represent the various transmission route in the infection dynamics, and diligence the role of the environmental reservoir in the transmission and dispersion of this disease. Simulation explication of the model ratify to the analytical results © 2022 L&H Scientific Publishing, LLC. All rights reserved
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大流行性冠状病毒传播SIQS数学模型的稳定性分析
在本文中,我们探讨了新冠肺炎爆发的概念数学模型及其禁欲计量;隔离期在这种情况下,数学模型是一个伟大的工具,可以利用一种令人印象深刻的策略来对抗这一流行病。我们定义了解的正性、有界性和基本再生产数。然后,我们研究了均衡的局部和全局稳定性分析,以检验其流行病学相关性。我们的模型代表了感染动力学中的各种传播途径,并注意到环境库在这种疾病传播和扩散中的作用。模型的模拟解释认可了分析结果©2022 L&H科学出版有限责任公司。保留所有权利
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来源期刊
Journal of Applied Nonlinear Dynamics
Journal of Applied Nonlinear Dynamics Engineering-Mechanical Engineering
CiteScore
1.20
自引率
20.00%
发文量
57
期刊介绍: The aim of the journal is to stimulate more research interest and attention for nonlinear dynamical behaviors and engineering nonlinearity for design. The manuscripts in complex dynamical systems with nonlinearity and chaos are solicited, which includes physical mechanisms of complex systems and engineering applications of nonlinear dynamics. The journal provides a place to researchers for the rapid exchange of ideas and techniques in nonlinear dynamics and engineering nonlinearity for design. Topics of Interest Complex dynamics in engineering Nonlinear vibration and dynamics for design Nonlinear dynamical systems and control Fractional dynamics and applications Chemical dynamics and bio-systems Economical dynamics and predictions Dynamical systems synchronization Bio-mechanical systems and devices Nonlinear structural dynamics Nonlinear multi-body dynamics Multiscale wave propagation in materials Nonlinear rotor dynamics Nonlinear waves and acoustics.
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