Overview

Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR. The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses.

Full Product Details

Author:   Praveen Agarwal (Full Professor, Anand International College of Engineering, Jaipur India; Nonlinear Dynamics Research Center (NDRC),<br>Ajman University, Ajman, UAE) ,  Juan J. Nieto (Full Professor of Mathematical Analysis, Director of the Institute of Mathematics, CITMAga, University of Santiago de Compostela, Santiago de Compostela, Galicia, Spain) ,  Delfim F.M. Torres (Full Professor, Director of the R&D Unit CIDMA, Department of Mathematics, University of Aveiro, Portugal)
Publisher:   Elsevier Science & Technology
Imprint:   Academic Press Inc
ISBN:  

9780323905046

ISBN 10:   0323905048
Pages:   300
Publication Date:   01 June 2022
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Forthcoming
Availability:   Not yet available  
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

1. Mathematical Models for Understanding Social Distancing Measures: General Setting and Analysis 2. Dynamical analysis of a Caputo fractional order SIR epidemic model with general treatment function 3. The Biodynamic Hypothesis and its Applications for the Mathematical Modeling of Biological Growth and the Analysis of Infectious Diseases 4. Analysis of optimal control against age-structured Hepatitis B virus model 5. Generalized logistic equations in COVID epidemic models 6. Mathematical Analysis of Diagnosis Rate Effects in COVID-19 Transmission 7. The COVID-19 outbreak: a mathematical model and its application for some countries 8. An Extensive Time Series analysis of COVID - 19 data sets on Indian States 9. Stability, bifurcation and a pair of conserved quantities in an epidemic system with reinjection for the spread of diseases caused by coronaviruses 10. Developing an Intelligent Health Report Generating System 11. Data-driven graphical analysis of epidemic trends 12. Uncertainty quantification in epidemiological compartmental models 13. Conserved quantities in epidemic systems for the spread of the coronavirus disease 14. Mathematical Modeling and Analysis for Prediction of COVID-19 15. Systematic review of the Mathematical modeling of Coronaviruses in the Middle East 16. Dynamic Simulation and Scenario Analysis of Spreading Covid-19 Pandemic in Turkey

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Author Information

Dr. Praveen Agarwal is currently an Associate Professor and Head at the Department of Mathematics at Anand International College of Engineering, Jaipur, India. He obtained his M.Sc., M. Phil degrees and Ph.D. degree from the Faculty of Science at Rajasthan University, Jaipur, India. He also had a Research Fellowship of MNIT, Jaipur and then worked in the Department of Mathematics, Global Institute of Technology, Jaipur, India. His research interest includes special functions, fractional calculus, integral transforms, basic hypergeometric series and mathematical physics. He has published more than 52 research papers in international esteemed journals. He is a served as a reviewer for Mathematical Reviews, USA (American Mathematical Society), and Zentralblatt MATH, Berlin. He is also on the editorial board for number of international mathematical and interdisciplinary journals. Juan Jose Nieto Roig is currently a Professor of Mathematical Analysis and Director of the Institute of Mathematics at the University of Santiago de Compostela where he has been affiliated since 1991. Dr. Nieto received his degree in Mathematics at the University of Santiago de Compostela in 1980. He was awarded a Fulbright scholarship and proceeded to the University of Texas at Arlington. He received his Ph.D. in Mathematics at the University of Santiago de Compostela in 1983. He is one of the most cited mathematicians in the world according to Web of Knowledge and appears in the Thompson Reuters Highly Cited Researchers list. He has also participated as editor in different mathematical journals including Editor in Chief of the journal, Nonlinear Analysis: Real World Applications from 2009 to 2012. In 2016, Nieto was admitted as a Fellow of the Royal Galician Academy of Sciences. Dr. Delfim F. M. Torres is currently a Professor, Director of the?R&D Unit CIDMA, and Director of the Doctoral Programme Consortium?MAP-PDMA?in Applied Mathematics at the University of Aveiro in Portugal where he also obtained a PhD in Mathematics in 2002 and Habilitation in Mathematics in 2011. Prof Torres as written numerous scientific articles and has co-authored 5 books. He is a Renowned and Acclaimed Mathematician, having been awarded the title of Highly Cited Researcher in Mathematics in 2015, 2016, 2017, and 2019. His main Research area is the calculus of variations and optimal control; optimization; fractional derivatives and integrals; dynamic equations on time scales; and?mathematical biology

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