Mathematical Modelling in Health, Social and Applied Sciences

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.

Includes significant research findings in the field of applied sciences, medical sciences, and social sciences Discusses topics on viral immunology, dynamics of influenza and dengue, tuberculosis model with imperfect vaccine, and human papillomavirus (HPV) infection Presents research problems, proofs, and raises questions to motivate further research

Auteur

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.

Résumé

"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)

Contenu
Khalid Hattaf: Viral Immunology: Modeling and Analysis.- Divine Wanduku, C. Newman O. Jegede, and Broderick Oluyede: Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccination Control, and the Maximum Likelihood Estimation of Model Parameters.- W.P.T.M. Wickramaarachchi and S.S. Nishantha Perera: A Two-Dimensional Dynamical System for Local Transmission of Dengue with Time Invariant Mosquito Density.- A.O. Egonmwan and Daniel Okuonghae: Mathematical Analysis of a Tuberculosis Model with Imperfect Vaccine.- A. Omame, Daniel Okuonghae, and Simeon Chioma Inyama: A Mathematical Study of a Model for HPV with Two High Risk Strains.- Ozlem Ozturk Mizrak, Cihan Mizrak, Ardak Kashkynbayev and Yang Kuang: Can Fractional Differentiation Improve Data Fitting Ability of a Prostate Cancer Model under Intermittent Androgen Suppression Therapy?.- Cinzia Colapinto, Davide La Torre, Danilo Liuzzi, and Aymeric Vié: Towards the Realization of the Europe 2020 Agenda for Economic Growth in the European Union: An Analysis based on Goal Programming.- Flaviano Battelli, Michal Feckan: On the PoincaréAndronovMelnikov Method for Modelling of Grazing Periodic Solutions in Discontinuous Systems.- Kolade M. Owolabi and Hemen Dutta: Modeling and Analysis of Predation System with Nonlocal and Nonsingular Operator.- Devendra Kumar and Jagdev Singh: New Aspects of Fractional Epidemiological Model for Computer Viruses with MittagLeffler Law.- Kolade M. Owolabi: Numerical Simulation of Nonlinear Ecological Models with Nonlocal and Nonsingular Fractional Derivative.