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sensitivity analysis of a mathematical fuzzy epidemic model for covid-19
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نویسنده
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parsamanesh mahmood ,akrami abbas
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منبع
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محاسبات نرم - 2023 - دوره : 12 - شماره : 1 - صفحه:34 -37
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چکیده
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In this paper, an epidemic model with fuzzy parameters for spreading covid-19 in a population is considered. the sensitivity analysis is used to determine the model robustness to parameter values of the model. the basic reproduction number of the epidemic model denoted by r_0 determines the dynamics of the model. then, in order to examine the relative importance of different parameters in the covid-19 spread, we derive an analytical expression for the sensitivity of the basic reproduction number r_0, namely sensitivity index, with respect to each parameter involved in the model. finally, sensitivity analysis results and the numerical simulations of the model are given with different parameter values.
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کلیدواژه
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fuzzy number ,epidemic model ,covid-19 ,basic reproduction number ,sensitivity analysis
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آدرس
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technical and vocational university, department of mathematics, iran, university of zabol, department of mathematics, iran
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پست الکترونیکی
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akrami.ab@uoz.ac.ir
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sensitivity analysis of a mathematical fuzzy epidemic model for covid-19
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Authors
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parsamanesh mahmood ,akrami abbas
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Abstract
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in this paper, an epidemic model with fuzzy parameters for spreading covid-19 in a population is considered. the sensitivity analysis is used to determine the model robustness to parameter values of the model. the basic reproduction number of the epidemic model denoted by r_0 determines the dynamics of the model. then, in order to examine the relative importance of different parameters in the covid-19 spread, we derive an analytical expression for the sensitivity of the basic reproduction number r_0, namely sensitivity index, with respect to each parameter involved in the model. finally, sensitivity analysis results and the numerical simulations of the model are given with different parameter values.
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Keywords
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fuzzy number ,epidemic model ,covid-19 ,basic reproduction number ,sensitivity analysis
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