Epidemiological Modeling with Application to Covid-19 (Advanced Studies in Complex Systems) - Softcover

Atangana, Abdon; Araz, Seda İğret

Softcover

ISBN 10: 0443238677 ISBN 13: 9780443238673

Publisher: Morgan Kaufmann, 2099

Synopsis

Epidemiological Modeling with Application to Covid-19 presents information about statistical, numerical, stability, and theoretical analyses for nine different Covid-19 models. Those models are considered with classical and fractional derivatives, which is a generalization of the classical analysis. The authors present their newly introduced rate indicator function for the prediction of the waves of Covid-19 spread. Moreover, future prediction of Covid-19 spread is presented for some countries. The authors also provide a new approach to modeling epidemiological issues in general, which has been tested against the spread of COVID-19 in several nations.

This book provides in-depth analysis of the spread of Covid-19, including discussion of theoretical and numerical results, including a novel modeling method called strength numbers that was created under the umbrella of acceleration, which provides a determiner of the power of disease spread. These significant characteristics might be the key to understanding and anticipating the spread of infections and diseases more generally.

• Provides in-depth analysis of the spread of Covid-19, including discussion of theoretical and numerical results
• Introduces a new concept called the rate indicator function for a new perspective on the spread of virological disease in epidemiology
• Presents a novel modeling method called strength numbers created under the umbrella of acceleration, which provides a determiner of the power of disease spread
• Provides a new approach to developing mathematical equations that may be used to show how an infectious disease spreads using the available starting data

About this title

About the Authors

Dr. Abdon Atangana is Academic Head of Department and Professor of Applied Mathematics at the University of the Free State, Bloemfontein, Republic of South Africa. He obtained his honours and master’s degrees from the Department of Applied Mathematics at the UFS with distinction. He obtained his PhD in applied mathematics from the Institute for Groundwater Studies. He was included in the 2019 (Maths), 2020 (Cross-field) and the 2021 (Maths) Clarivate Web of Science lists of the World's top 1% scientists, and he was awarded The World Academy of Sciences (TWAS) inaugural Mohammed A. Hamdan award for contributions to science in developing countries. In 2018 Dr. Atangana was elected as a member of the African Academy of Sciences and in 2021 a member of The World Academy of Sciences. He also ranked number one in the world in mathematics, number 186 in the world in all fields, and number one in Africa in all fields, according to the Stanford University list of top 2% scientists in the world. He was one of the first recipients of the Obada Award in 2018. Dr. Atangana published a paper that was ranked by Clarivate in 2017 as the most cited mathematics paper in the world. Dr. Atangana serves as an editor for 20 international journals, lead guest editor for 10 journals, and is also a reviewer of more than 200 international accredited journals. His research interests include methods and applications of partial and ordinary differential equations, fractional differential equations, perturbation methods, asymptotic methods, iterative methods, and groundwater modelling. Dr. Atangana is a pioneer in research on fractional calculus with non-local and non-singular kernels popular in applied mathematics today. He is the author of numerous books, including Integral Transforms and Engineering: Theory, Methods, and Applications, Taylor and Francis/CRC Press; Numerical Methods for Fractal-Fractional Differential Equations and Engineering: Simulations and Modeling, Taylor and Francis/CRC Press; Numerical Methods for Fractional Differentiation, Springer; Fractional Stochastic Differential Equations, Springer; Fractional Order Analysis, Wiley; Applications of Fractional Calculus to Modeling in Dynamics and Chaos, Taylor and Francis/CRC Press; Fractional Operators with Constant and Variable Order with Application to Geo-hydrology, Elsevier/Academic Press; Derivative with a New Parameter: Theory, Methods, and Applications, Elsevier/Academic Press; and New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications, Elsevier/Academic Press; among others.

Dr. Seda İğret Araz is an Assistant Professor of Mathematics at Siirt University, Siirt, Turkey. She obtained her master’s and PhD at Ataturk University, Turkey. She is the author of more than 15 papers published in top-tier journals. She has acted as guest editor on special issues in Q1 journals. Dr. Araz is the co-author with Dr. Atangana of New Numerical Scheme with Newton Polynomial: Theory, Methods, and Applications, Elsevier/Academic Press; and Fractional Stochastic Differential Equations, Springer

From the Back Cover

Epidemiological Modeling with Application to Covid-19 presents information about statistical, numerical, stability, and some theoretical analyses for nine different Covid-19 models. Those models are considered with classical and fractional derivatives, which is a generalization of the classical analysis. The authors present their newly introduced rate indicator function for the prediction of the waves of Covid-19 spread. Moreover, future prediction of Covid-19 spread is presented for some countries. Epidemiological Modeling with Application to Covid-19 provides in-depth analysis of the spread of Covid-19, including discussion of theoretical and numerical results. The book presents a novel modeling method called strength numbers, created under the umbrella of acceleration, which provides a determiner of the power of disease spread. The authors also provide a new approach to modeling epidemiological issues in general, which has been tested against the spread of COVID-19 in several nations. These significant characteristics might be the key to understanding and anticipating the spread of infections and diseases more generally.

Edition details

• Publisher: Morgan Kaufmann
• Publication date: 2099
• Language: English
• ISBN 10: 0443238677
• ISBN 13: 9780443238673
• Binding: Paperback
• Edition number: 1
• Number of pages: 400