Fractional Stochastic Differential Equations
Applications to Covid-19 Modeling
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Beschreibung
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.
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.
Presents an overview of COVID-19 spread by using non-local operators for modelling real-world problems Analyses the existence and uniqueness of solutions for stochastic–fractional differential equations Explores new trends of numerical scheme for solving general stochastic–fractional differential equations
Autor*in
Abdon Atangana
Themen in »Fractional Stochastic Differential Equations«
fractional calculus stochastic differential equation Covid-19 fractional integration fractional differentiation applied mathematics biological models numerical methods
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“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)
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