Product details:
| ISBN13: | 9789811907319 |
| ISBN10: | 9811907315 |
| Binding: | Paperback |
| No. of pages: | 540 pages |
| Size: | 235x155 mm |
| Weight: | 842 g |
| Language: | English |
| Illustrations: | 162 Illustrations, color |
| 581 |
Category:
Fractional Stochastic Differential Equations
Applications to Covid-19 Modeling
Series:
Industrial and Applied Mathematics;
Edition number: 1st ed. 2022
Publisher: Springer
Date of Publication: 23 April 2023
Number of Volumes: 1 pieces, Book
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Publisher's listprice:
EUR 160.49
EUR 160.49
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Short description:
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.
Long description:
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.
?The book promotes the use of stochastic fractional differential models to describe infectious disease propagation, particularly the spread of COVID-19 ... . This is primary a research book, most of the results included therein being obtained by the authors themselves and presented for the first time in book form.? (Paul Georgescu, zbMATH 1497.92002, 2022)
?The book promotes the use of stochastic fractional differential models to describe infectious disease propagation, particularly the spread of COVID-19 ... . This is primary a research book, most of the results included therein being obtained by the authors themselves and presented for the first time in book form.? (Paul Georgescu, zbMATH 1497.92002, 2022)
Table of Contents:
History on Covid-19 Spread.- Fractional Di?erential and Integral Operators.- Existence and Uniqueness for stochastic di?erential 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.
