Advances in Epidemiological Modeling and Control of Viruses

Advances in Epidemiological Modeling and Control of Viruses

1st Edition - January 1, 2023

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  • Editors: Hemen Dutta, Khalid Hattaf
  • Paperback ISBN: 9780323995573

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Advances in Epidemiological Modeling and Control of Viruses covers recent and advanced research works in the field of epidemiological modeling with special emphasis on new strategies to control the occurrence and reoccurrence of viruses. Applications of mathematics in epidemiological studies have shown remarkable growth in recent years. Mathematical modeling is an interdisciplinary field to study the nature of various systems. The models included in this book can be used to study the dynamics of different viruses, searching for control measures, and epidemic models under various effects and environments. This book covers different models and methods of modeling, including data-driven approaches. The authors and editors are experienced researchers, and each chapter has been designed to provide readers with leading-edge information on topics discussed. The book is a valuable resource for researchers, students, educators, scientists and practitioners associated with diverse aspects of epidemiological modeling. Readers will also find the book interesting in understanding the dynamics of various viruses and control strategies.

Key Features

  • Includes models to describe global and local dynamics of various viruses
  • Provides readers with control strategies for occurrence and reoccurrence of viruses
  • Includes epidemic models under various effects and environments
  • Provides readers with a robust set of mathematical tools and techniques for epidemiological modeling


Researchers, developers, and industry professionals in modelling, mathematical biology, computational biology, and mathematics. In addition, research scientists and clinicians in Epidemiology will be interested in the book from the perspective of using the modelling techniques to model complex systems and viruses

Table of Contents

  • Introduction – Dr. Dutta and Dr. Hattaf
    1. Global dynamics of a delayed reaction-diffusion viral infection in a cellular environment

    2. Hepatitis B virus transmission via epidemic model with treatment function
    3. Global dynamics of an HCV model with full logistic terms and the host immune system
    4. On a SVEIRS Markov chain epidemic model with multiple discrete delay times and sensitivity analysis to determine vaccination effects
    5. Hopf bifurcation in an SIR epidemic model with psychological effect and distributed time delay
    6. Modelling of the effects of media in the course of vaccination of rotavirus
    7. Mathematical Models of Early Stage COVID-19 Transmission in Sri Lanka
    8. Global stability of a diffusive HTLV-I infection model with mitosis and CTL immune response
    9. Introducing Decision Support Mathematical Tools
    10. COVID-19 pandemic model: A graph theoretical perspective
    11. Towards nonmanifest chaos and order in biological structures, by means of the multifractal paradigm
    12. Global stability of epidemic model under discontinuous treatment strategy

Product details

  • No. of pages: 300
  • Language: English
  • Copyright: © Academic Press 2023
  • Published: January 1, 2023
  • Imprint: Academic Press
  • Paperback ISBN: 9780323995573

About the Editors

Hemen Dutta

Dr. Hemen Dutta is a Professor at Gauhati University, India. He also served three other higher learning academic institutions in different capacities prior to joining the Gauhati University. His current research interests are in the areas of nonlinear analysis and mathematical modeling. He is a regular and guest editor of several international indexed journals. He has published 25 books, including Mathematical Modelling and Analysis of Infectious Diseases, New Trends in Applied Analysis and Computational Mathematics, Current Trends in Mathematical Analysis and Its Interdisciplinary Applications from Springer, Concise Introduction to Basic Real Analysis, Topics in Contemporary Mathematical Analysis and Applications, and Mathematical Methods in Engineering and Applied Sciences from CRC Press, and Fractional Order Analysis: Theory, Methods and Applications from Wiley, among others. Dr. Dutta is also an honorary research affiliate and speaker for several international and national events.

Affiliations and Expertise

Professor, Department of Mathematics, Gauhati University, India

Khalid Hattaf

Khalid Hattaf is currently an Associate Professor at Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Casablanca, Morocco. He received his Master in Numerical Analysis, Computers and Signal Processing from Mohammed I University, Oujda, Morocco. He obtained his Ph.D. in Mathematics and Computer Science from Hassan II University of Casablanca, Morocco. His research interests include mathematical modeling in virology, epidemiology, ecology and economics. He is also interested in mathematics education. He ranked among the Top 15 Moroccan researchers in Mathematics for the periods 2009-2013 and 2012-2016. Also, he has published one book, 10 book chapters and more than 100 papers in respected international journals. Recently, he has been featured among the top 2 percent of the world's most cited scientists in various disciplines, according to the American Stanford University ranking.

Affiliations and Expertise

Associate Professor, Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Casablanca, Morocco

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