Immunity Shield Protection Mathematical Model of SARS-CoV-2 Virus Outbreak with Emphasis on Impreciseness in Terms of Intuitionistic Fuzziness

IF 0.6 Q3 ENGINEERING, MULTIDISCIPLINARY Journal of Applied Nonlinear Dynamics Pub Date : 2023-03-01 DOI:10.5890/jand.2023.03.001

Subhashis Das, S. Mahato, Prasenjit Mahato

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Abstract

In this paper, we develop a COVID-19 mathematical model and divide the entire populations into six classes, namely susceptible, susceptible quarantined, exposed, infected, infected quarantined and recovered. We utilize the concept of "shield immunity” which is a different concept to herd immunity and could play a key role in getting back to normal. We consider that the recovered people are absolutely virus negative, produce antibodies to defend themselves against the virus and are able to interact with susceptible and infected people. We also assume that the recovered people may be infected when they come in contact with the infected people. Moreover, the control parameters are taken as triangular intuitionistic fuzzy numbers to incorporate the uncertainty. The model is converted to intuitionistic fuzzy model and analysed the boundedness, local and global stability, calculated the equilibrium points and basic reproduction number. We also studied optimal control of the model. The MATLAB codes are implemented to solve the system of ordinary nonlinear differential equations and to predict different scenarios for different values of the control parameters involved in the dynamical system. The sensitivities of the control parameters have also been performed to forecast the behaviour of the virus © 2023 L&H Scientific Publishing, LLC. All rights reserved

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严重急性呼吸系统综合征冠状病毒2型疫情免疫防护数学模型的直觉模糊性

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来源期刊

Journal of Applied Nonlinear Dynamics Engineering-Mechanical Engineering

CiteScore

1.20

自引率

20.00%

发文量

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.