Mathematical Methods in Medical and Biological Sciences presents mathematical methods for computational models arising in the medical and biological sciences. The book presents several real-life medical and biological models, such as infectious and non-infectious diseases that can be modeled mathematically to accomplish profound research in virtual environments when the cost of laboratory expenses is relatively high. It focuses on mathematical techniques that provide global solutions for models arising in medical and biological sciences by considering their long-term benefits. In addition, the book provides leading-edge developments and insights for a range of applications, including epidemiological modeling of pandemic dynamics, viral infection developments, cancer developments, blood oxygen dynamics, HIV infection spread, reaction-diffusion models, polio infection spread, and chaos modeling with fractional order derivatives.
Table of Contents
1. Fractional and fractal extensions of epidemiological models2. Mathematical analysis of the COVID-19 pandemic dynamics in the emergence of resistant strains of SARS-CoV-2 in a vaccinated and non-vaccinated population: A real world scenario in most countries
3. A fractional study on vaccination effect to control COVID-19 epidemic
4. An epidemiological model on monkeypox virus and its quarantine effects
5. Dynamically consistent nonstandard discretization methods for some mathematical models of infectious diseases
6. A Comparative Study of Different Disease Incidence functions in Mathematical Modelling of Infectious Diseases
7. Numerical investigation of HIV infection of CD4+ T-cells via fractional Vieta-Lucas wavelets
8. A numerical study of fractional SIR epidemic model of infectious disease via the reproducing kernel Hilbert space metho
9. The numerical study for cancer model of biological science
10. Mathematical analysis of the non-linear dynamics of the bone mineralization
11. Mathematical Analysis and Computational Study of the Novel COVID-19 Model in the Presence of Nonsingular-Nonlocal Kernel
12. Parametric Analysis of Two Reaction-Diffusion Models Leading to Pattern Formation
13. Existence, uniqueness, and stability analysis results about the SIR epidemic model with fractional operator
14. Analysis of chaotic behavior of a fractional biological system: chaos control via a novel numerical method
Authors
Harendra Singh Assistant Professor, Department of Mathematics, Post-Graduate College, Ghazipur, India.Dr. Harendra Singh is an Assistant Professor in the Department of Mathematics at Post-Graduate College Ghazipur, Uttar Pradesh, India. He teaches post-graduate mathematics courses including Real and Complex Analysis, Functional Analysis, Abstract Algebra, and Measure Theory. His research areas of interest include Mathematical Modelling, Fractional Differential Equations, Integral Equations, Calculus of Variations, and Analytical and Numerical Methods. He is the co-Editor with Dr. Srivastava of Special Functions in Fractional Calculus and Engineering, Taylor and Francis/CRC Press.
Hari M Srivastava Professor Emeritus, Department of Mathematics and Statistics, University of Victoria, British Columbia, Canada.Dr. Hari M. Srivastava is Professor Emeritus in the Department of Mathematics and Statistics at the University of Victoria, British Columbia, Canada. He earned his Ph.D. degree in 1965 while he was a full-time member of the teaching faculty at the Jai Narain Vyas University of Jodhpur, India. Dr. Srivastava has held (and continues to hold) numerous Visiting, Honorary and Chair Professorships at many universities and research institutes in di?erent parts of the world. Having received several D.Sc. (honoris causa) degrees as well as honorary memberships and fellowships of many scienti?c academies and scienti?c societies around the world, he is also actively associated editorially with numerous international scienti?c research journals as an Honorary or Advisory Editor or as an Editorial Board Member. He has also edited many Special Issues of scienti?c research journals as the Lead or Joint Guest Editor, including the MDPI journal Axioms, Mathematics, and Symmetry, the Elsevier journals, Journal of Computational and Applied Mathematics, Applied Mathematics and Computation, Chaos, Solitons & Fractals, Alexandria Engineering Journal, and Journal of King Saud University - Science, the Wiley journal, Mathematical Methods in the Applied Sciences, the Springer journals, Advances in Di?erence Equations, Journal of Inequalities and Applications, Fixed Point Theory and Applications, and Boundary Value Problems, the American Institute of Physics journal, Chaos: An Interdisciplinary Journal of Nonlinear Science, and the American Institute of Mathematical Sciences journal, AIMS Mathematics, among many others. Dr. Srivastava has been a Clarivate Analytics (Web of Science) Highly-Cited Researcher since 2015. Dr. Srivastava's research interests include several areas of Pure and Applied Mathematical Sciences, such as Real and Complex Analysis, Fractional Calculus and Its Applications, Integral Equations and Transforms, Higher Transcendental Functions and Their Applications, q-Series and q-Polynomials, Analytic Number Theory, Analytic and Geometric Inequalities, Probability and Statistics, and Inventory Modeling and Optimization. He has published 36 books, monographs, and edited volumes, 36 book (and encyclopedia) chapters, 48 papers in international conference proceedings, and more than 1450 peer-reviewed international scienti?c research journal articles, as well as Forewords and Prefaces to many books and journals.
