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Full Description
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.
Contents
1. Fractional and fractal extensions of epidemiological models
2. 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
