Sensitivity analysis of a mathematical fuzzy epidemic model for COVID-19

پارسامنش, محمود; اکرمی, عباس

doi:10.22052/scj.2023.248364.1100

Sensitivity analysis of a mathematical fuzzy epidemic model for COVID-19

نوع مقاله : مقاله پژوهشی کوتاه

نویسندگان

¹ گروه ریاضی، دانشگاه فنی و حرفه ای، تهران، ایران.

² گروه ریاضی، دانشگاه زابل، زابل، ایران.

10.22052/scj.2023.248364.1100

چکیده

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.

کلیدواژه‌ها

عنوان مقاله [English]

Sensitivity analysis of a mathematical fuzzy epidemic model for COVID-19

نویسندگان [English]

Mahmood Parsamanesh ¹
Abbas Akrami ²

¹ Department of Mathematics, Technical and Vocational University, Tehran, Iran.

² Department of Mathematics, University of Zabol, Zabol, Iran.

چکیده [English]

کلیدواژه‌ها [English]

Fuzzy number
Epidemic model
COVID-19
Basic reproduction number
Sensitivity analysis

مراجع

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