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Fractional stochastic differential e...

Atangana, Abdon.

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Fractional stochastic differential equations = applications to COVID-19 modeling /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fractional stochastic differential equations/ by Abdon Atangana, Seda Igret Araz.
其他題名:	applications to COVID-19 modeling /
作者:	Atangana, Abdon.
其他作者:	Igret Araz, Seda.
出版者:	Singapore :Springer Nature Singapore : : 2022.,
面頁冊數:	xv, 540 p. :ill., digital ;24 cm.
內容註:	History on Covid-19 Spread -- Fractional Diﬀerential and Integral Operators -- Existence and Uniqueness for stochastic diﬀerential equations -- Numerical scheme for a general Stochastic equation with classical and fractional derivatives -- A simple SIR model of Covid-19 spread -- An application of SEIRD approach -- Modelling the transmission of Coronavirus with SEIR approach -- Modeling the spread of Covid-19 with a SIA IR IU approach: Inclusion of unreported infected class -- A comprehensive analysis of Covid-19 model -- Analysis of SEIARD model of Coronavirus transmission -- A mathematical model with Covid-19 reservoir -- A new model with asymptomatic and quarantined classes.
Contained By:	Springer Nature eBook
標題:	Stochastic differential equations. -
電子資源:	https://doi.org/10.1007/978-981-19-0729-6
ISBN:	9789811907296

Fractional stochastic differential equations = applications to COVID-19 modeling /
Atangana, Abdon.

Fractional stochastic differential equationsapplications to COVID-19 modeling /[electronic resource] :by Abdon Atangana, Seda Igret Araz. - Singapore :Springer Nature Singapore :2022. - xv, 540 p. :ill., digital ;24 cm. - Industrial and applied mathematics,2364-6845. - Industrial and applied mathematics..

History on Covid-19 Spread -- Fractional Diﬀerential and Integral Operators -- Existence and Uniqueness for stochastic diﬀerential equations -- Numerical scheme for a general Stochastic equation with classical and fractional derivatives -- A simple SIR model of Covid-19 spread -- An application of SEIRD approach -- Modelling the transmission of Coronavirus with SEIR approach -- Modeling the spread of Covid-19 with a SIA IR IU approach: Inclusion of unreported infected class -- A comprehensive analysis of Covid-19 model -- Analysis of SEIARD model of Coronavirus transmission -- A mathematical model with Covid-19 reservoir -- A new model with asymptomatic and quarantined classes.

This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the worlds. The content coverage includes brief history of Covid-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes.

ISBN: 9789811907296

Standard No.: 10.1007/978-981-19-0729-6doiSubjects--Topical Terms:

621860
Stochastic differential equations.

LC Class. No.: QA274.23 / .A83 2022

Dewey Class. No.: 519.22

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520 $a This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the worlds. The content coverage includes brief history of Covid-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes.
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