Mathematical Modelling in Health, Social and Applied Sciences

1. Front Matter

   Pages i-xi

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2. Viral Immunology: Modeling and Analysis

   • Khalid Hattaf

   Pages 1-21

3. Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccination Control, and the Maximum Likelihood Estimation of Model Parameters

   • Divine Wanduku, C. Newman, O. Jegede, B. Oluyede

   Pages 23-72

4. A Two-Dimensional Dynamical System for Local Transmission of Dengue with Time Invariant Mosquito Density

   • W. P. T. M. Wickramaarachchi, S. S. N. Perera

   Pages 73-106

5. A Mathematical Study of a Model for HPV with Two High-Risk Strains

   • A. Omame, D. Okuonghae, S. C. Inyama

   Pages 107-149

6. The Impact of Fractional Differentiation in Terms of Fitting for a Prostate Cancer Model Under Intermittent Androgen Suppression Therapy

   • Ozlem Ozturk Mizrak, Cihan Mizrak, Ardak Kashkynbayev, Yang Kuang

   Pages 151-197

7. Toward the Realization of the “Europe 2020” Agenda for Economic Growth in the European Union: An Empirical Analysis Based on Goal Programming

   • Cinzia Colapinto, Davide La Torre, Danilo Liuzzi, Aymeric Vié

   Pages 199-239

8. On the Poincaré-Andronov-Melnikov Method for Modelling of Grazing Periodic Solutions in Discontinuous Systems

   • Flaviano Battelli, Michal Fečkan

   Pages 241-259

9. Modelling and Analysis of Predation System with Nonlocal and Nonsingular Operator

   • Kolade M. Owolabi, Hemen Dutta

   Pages 261-282

10. New Aspects of Fractional Epidemiological Model for Computer Viruses with Mittag–Leffler Law

    • Devendra Kumar, Jagdev Singh

    Pages 283-301

11. Numerical Simulation of Nonlinear Ecological Models with Nonlocal and Nonsingular Fractional Derivative

    • Kolade M. Owolabi

    Pages 303-320

This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear ecological models. A unique addition in the proposed areas of research and education, this book is a valuable resource for graduate students, researchers and educators associated with the study of mathematical modelling of health, social and applied-sciences issues. Readers interested in applied mathematics should also find this book valuable. 

• Mathematical Modeling
• Simulation
• Mittag-Leffler Law
• Fractional Derivative
• Approximation
• Analysis
• Immunology
• Applied Sciences
• Statistical Methods
• Optimization
• Operations Research
• Management Science
• Computational Science

“This book is written for graduate students and researchers with a basic knowledge of mathematical modeling. Advanced undergraduate student working on research in the field could work through the chapters with the help of an advisor. This book is an excellent resource for anyone interested in mathematical modeling, especially in the biological and social sciences.” (MAA Reviews, August 23, 2020)

• Department of Mathematics, Gauhati University, Guwahati, India

  Hemen Dutta

HEMEN DUTTA is Assistant Professor at the Department of Mathematics, Gauhati University, Guwahati, India. He completed his PhD in mathematics from Gauhati University. He has to his credit 10 books and over 100 items as research papers and chapters in books published by leading publishers. He is member of noted scientific societies and has visited several foreign institutions with regards to research collaborations, conferences and delivering talks. His main research interests are summability theory, functional equations, fixed point theory and mathematical modelling.

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