Mathematical Methods in Medical and Biological Sciences

Mathematical Methods in Medical and Biological Sciences presents mathematical methods for computational models arising in medical and biological sciences. Several real-life medical and biological models such as infectious and non-infectious diseases can be modelled mathematically to accomplish profound research on them in virtual environments when the cost of laboratory expenses is relatively high. This book focuses on mathematical techniques that provide global solutions for models arising in medical and biological sciences by considering their long-term benefits. The mathematical treatment of these models is very helpful in understanding these models and their real-world applications. The methods and modelling techniques presented by the authors are useful for mathematicians, engineers, doctors, scientists, and researchers working on the mathematical treatment of models in a wide range of medical and biological sciences. Mathematical Methods in Medical and Biological Sciences presents leading-edge developments and insights for a range of applications, including epidemiological modeling of pandemic dynamics, viral infection development, cancer development, blood oxygen dynamics, HIV infection spread, reaction-diffusion models, polio infection spread, and chaos modeling with fractional order derivatives. The book provides readers with both the modeling methods and their applications to reinforce learning. Presents the mathematical treatment of a wide range of real-life medical and biological models, including both infectious and non-infectious diseasesProvides in-depth analysis of the spread of Covid-19, polio, and HIV, including discussion of computational methods and applicationsIncludes computational modeling methods along with their practical applications, providing the basis for further exploration and research in epidemiology and applied biomedical sciences INDICE: 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 countries3. A fractional study on vaccination effect to control COVID-19 epidemic4. An epidemiological model on monkeypox virus and its quarantine effects5. Dynamically consistent nonstandard discretization methods for some mathematical models of infectious diseases6. A Comparative Study of Different Disease Incidence functions in Mathematical Modelling of Infectious Diseases7. Numerical investigation of HIV infection of CD4+ T-cells via fractional Vieta-Lucas wavelets8. A numerical study of fractional SIR epidemic model of infectious disease via the reproducing kernel Hilbert space metho9. The numerical study for cancer model of biological science10. Mathematical analysis of the non-linear dynamics of the bone mineralization11. Mathematical Analysis and Computational Study of the Novel Covid-19 Model in the Presence of Nonsingular-Nonlocal Kernel12. Parametric Analysis of Two Reaction-Diffusion Models Leading to Pattern Formation13. Existence, uniqueness, and stability analysis results about the SIR epidemic model with fractional operator14. Analysis of chaotic behavior of a fractional biological system: chaos control via a novel numerical method

• ISBN: 978-0-443-28814-2
• Editorial: Morgan Kaufmann
• Encuadernacion: Rústica
• Páginas: 250
• Fecha Publicación: 01/11/2024
• Nº Volúmenes: 1
• Idioma: Inglés