
Advances in Epidemiological Modeling and Control of Viruses
- 1st Edition - January 6, 2023
- Editors: Hemen Dutta, Khalid Hattaf
- Language: English
- Paperback ISBN:9 7 8 - 0 - 3 2 3 - 9 9 5 5 7 - 3
- eBook ISBN:9 7 8 - 0 - 3 2 3 - 9 9 5 5 8 - 0
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 strate… Read more

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Request a sales quoteAdvances 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. 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.
- 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
- Cover image
- Title page
- Table of Contents
- Copyright
- Contributors
- Preface
- 1: Global dynamics of a delayed reaction-diffusion viral infection in a cellular environment
- Abstract
- Acknowledgements
- 1.1. Introduction
- 1.2. Global convergence to the homogeneous solution
- 1.3. Numerical simulations
- 1.4. Spatiotemporal pattern formation
- 1.5. Conclusion and open problems
- References
- 2: Hepatitis B virus transmission via epidemic model
- Abstract
- 2.1. Introduction
- 2.2. Model formulation
- 2.3. Stability analysis
- 2.4. Simulation and concluding remarks
- References
- 3: Global dynamics of an HCV model with full logistic terms and the host immune system
- Abstract
- Acknowledgements
- 3.1. Introduction
- 3.2. Previous works
- 3.3. Mathematical preliminaries
- 3.4. Modelling virus-immune system interaction with full logistic terms in both uninfected and infected cells
- 3.5. Analysis of the model
- 3.6. Numerical simulations
- 3.7. Conclusion and discussion
- References
- 4: On a Novel SVEIRS Markov chain epidemic model with multiple discrete delays and infection rates: modeling and sensitivity analysis to determine vaccination effects
- Abstract
- 4.1. Introduction
- 4.2. Description of the SVEIRS epidemic and the delays in the disease dynamics
- 4.3. Discretization of time and decomposition of the SVEIRS population over time
- 4.4. The SVEIRS stochastic process
- 4.5. Some special SVEIRS epidemic models
- 4.6. Numerical study: some prototype SVEIRS epidemic models and sensitivity analysis to determine the effects of infection and vaccination
- 4.7. Conclusion
- References
- 5: Hopf bifurcation in an SIR epidemic model with psychological effect and distributed time delay
- Abstract
- Acknowledgements
- 5.1. Introduction
- 5.2. Model
- 5.3. Direction of bifurcation and stability of periodic solution
- 5.4. Example: a truncated exponential distribution
- 5.5. Numerical simulation
- 5.6. Discussion
- Appendix 5.A. Matlab code for Fig. 5.8(b)
- References
- 6: Modeling of the effects of media in the course of vaccination of rotavirus
- Abstract
- 6.1. Introduction
- 6.2. Epidemic modeling
- 6.3. Existence of equilibria of system ϒ1
- 6.4. Stability of the equilibria
- 6.5. Optimal control problem
- 6.6. Efficacy analysis
- 6.7. Numerical simulations
- 6.8. Discussion
- References
- 7: Mathematical models of early stage Covid-19 transmission in Sri Lanka
- Abstract
- 7.1. Introduction
- 7.2. Mathematical model to estimate initial parameters
- 7.3. Mathematical models with heterogeneity of cases
- 7.4. Mathematical model with imported cases
- 7.5. Conclusion
- References
- 8: Global stability of a diffusive HTLV-I infection model with mitosis and CTL immune response
- Abstract
- List of abbreviations
- 8.1. Introduction
- 8.2. Model formulation
- 8.3. Well-posedness of solutions
- 8.4. Steady state analysis
- 8.5. Global stability analysis
- 8.6. Numerical simulations
- 8.7. Conclusion and discussion
- References
- 9: Mathematical tools and their applications in dengue epidemic data analytics
- Abstract
- 9.1. Introduction
- 9.2. Fourier transformation
- 9.3. Wavelet analysis
- 9.4. Wavelet analysis in epidemiology and dengue
- 9.5. Conclusion
- References
- 10: Covid-19 pandemic model: a graph theoretical perspective
- Abstract
- 10.1. Introduction
- 10.2. Preliminaries
- 10.3. A survey of mathematical models on diseases
- 10.4. SEIRD model on Covid-19
- 10.5. Some results
- 10.6. Conclusion and recommendation
- References
- 11: Towards nonmanifest chaos and order in biological structures by means of the multifractal paradigm
- Abstract
- 11.1. Introduction
- 11.2. Mathematical model
- 11.3. Conclusions
- References
- 12: Global stability of epidemic models under discontinuous treatment strategy
- Abstract
- 12.1. Impact of discontinuous treatments on disease dynamics in an SIR epidemic model
- 12.2. Global stability of an SIS epidemic model with discontinuous treatment strategy
- 12.3. Global stability of an SEIR epidemic model with infectious force in latent period and infected period under discontinuous treatment strategy
- References
- Index
- No. of pages: 390
- Language: English
- Edition: 1
- Published: January 6, 2023
- Imprint: Academic Press
- Paperback ISBN: 9780323995573
- eBook ISBN: 9780323995580
HD
Hemen Dutta
Dr. Hemen Dutta PhD 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, IndiaKH
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, MoroccoRead Advances in Epidemiological Modeling and Control of Viruses on ScienceDirect