Fractional Stochastic Differential Equations

Applications to Covid-19 Modeling

Abdon Atangana, Seda Igret Araz (Autoren)

Buch | Softcover

540 Seiten

2023 | 1st ed. 2022
Springer Verlag, Singapore
978-981-19-0731-9 (ISBN)

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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.

ABDON ATANGANA is Professor of Applied Mathematics at the University of the Free State (UFS), Bloemfontein, Republic of South Africa. He obtained his honours and master degrees from the Department of Applied Mathematics at the UFS with distinction. He obtained his Ph.D. in applied mathematics from the Institute for Groundwater Studies, UFS, Republic of South Africa. He serves as Editor of many international journals, Guest Editor of many journals, and is a reviewer of more than 200 international accredited journals. He has published more than 270 research papers in international accredited journals of applied mathematics, applied physics, geo-hydrology and biomathematics. A single author of four books, including Numerical Methods for Fractional Differentiation (Springer, 2019), he has graduated 7 Ph.D. and 22 graduate students and 6 postdoc fellows. His research interests are in methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Professor Atangana is the founder of “fractional calculus” with non-local and non-singular kernels popular in applied mathematics. A highly cited mathematician in 2019, 2020, 2021, he is the first-ever TWAS-Mohammad A award 2020 and Fellow of the World Academia of Science. SEDA IGRET ARAZ is Assistant Professor of Mathematics at Siirt University, Siirt, Turkey. She obtained her master and Ph.D. degrees from Ataturk University, Turkey. She is the author of more than 27 papers published in top-tier journals and a book, New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications, co-authored by Prof. Abdon Atangana. She has acted as guest editor on some special issues in several journals.

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.

Erscheinungsdatum	26.04.2023
Reihe/Serie	Industrial and Applied Mathematics
Zusatzinfo	162 Illustrations, color; XV, 540 p. 162 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	981-19-0731-5 / 9811907315
ISBN-13	978-981-19-0731-9 / 9789811907319
Zustand	Neuware