TY - JOUR
T1 - Stochastic covid-19 model with fractional global and classical piecewise derivative
AU - Jain, Sonal
AU - El-Khatib, Youssef
N1 - Funding Information:
The authors would like to express their sincere appreciation to the United Arab Emirates University Research for the financial support UPAR Grant No. 31S369 .
Publisher Copyright:
© 2021 The Author(s)
PY - 2021/11
Y1 - 2021/11
N2 - Several methodologies have been advocated in the last decades with the aim to better understand behaviours displayed by some real-world problems. Among which, stochastics modelling and fractional modelling, fuzzy and others. These methodologies have been suggested to threat specific problems; however, It have been noticed that some problems exhibit different patterns as time passes by. Randomness and nonlocality can be combined to depict complex real-world behaviours. It has been observed that, covid-19 virus spread does not follow a single pattern; sometimes we obtained stochastic behaviours, another nonlocal behaviour and others. In this paper, we shall consider a covid-19 model with fractional stochastic behaviours. More precisely a covid-19 model, where the model considers nonlocalities and randomness is suggested. Then a comprehensive analysis of the model is conducted. Numerical simulations and illustrations are done to show the efficiency of the model.
AB - Several methodologies have been advocated in the last decades with the aim to better understand behaviours displayed by some real-world problems. Among which, stochastics modelling and fractional modelling, fuzzy and others. These methodologies have been suggested to threat specific problems; however, It have been noticed that some problems exhibit different patterns as time passes by. Randomness and nonlocality can be combined to depict complex real-world behaviours. It has been observed that, covid-19 virus spread does not follow a single pattern; sometimes we obtained stochastic behaviours, another nonlocal behaviour and others. In this paper, we shall consider a covid-19 model with fractional stochastic behaviours. More precisely a covid-19 model, where the model considers nonlocalities and randomness is suggested. Then a comprehensive analysis of the model is conducted. Numerical simulations and illustrations are done to show the efficiency of the model.
KW - Fractional stochastic behaviours
KW - Numerical representation
KW - Piecewise differential operators
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U2 - 10.1016/j.rinp.2021.104788
DO - 10.1016/j.rinp.2021.104788
M3 - Article
AN - SCOPUS:85115337997
SN - 2211-3797
VL - 30
JO - Results in Physics
JF - Results in Physics
M1 - 104788
ER -