Fractal Signatures in the Dynamics of an Epidemiology

Fractal Signatures in the Dynamics of an Epidemiology
Author: Santo Banerjee
Publisher: CRC Press
Total Pages: 268
Release: 2023-12-01
Genre: Science
ISBN: 1003822630

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The recent Covid-19 pandemic threw the world into complete chaos with its rapid and devastating spread. Scientists are still trying to obtain a better understanding of the patterns of COVID-19 and trying to get a deeper understanding of mutant strains and their pathogenicity by performing genomic sequences of more samples. Fractal-based analysis provides its unique forecasting policy to reduce the spread of COVID-19, and in general, of any outbreaks. The book presents fractal and multifractal models of COVID-19 and reviews the impact of the pandemic including epidemiology, genome organization, transmission cycle, and control strategies based on mathematical models towards developing an immune intervention. Also, it covers non-clinical aspects such as economic development with graphical illustrations, meeting the needs of onlookers outside the sector who desire additional information on the epidemic. The fractal signatures describe the fractal textures in the patterns of Corona virus. Studies on the epidemiology of Covid-19 in relation with the fractals and fractal functions serve to exhibit its irregular chaotic nature. Moreover, the book with its wide coverage on the Hurst exponent analysis and the fractal dimension estimation, greatly aids in measuring the epidemiology.

Dynamical Modeling and Analysis of Epidemics

Dynamical Modeling and Analysis of Epidemics
Author: Zhien Ma
Publisher: World Scientific
Total Pages: 513
Release: 2009
Genre: Mathematics
ISBN: 9812797491

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This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples.

Cell to Cell Signals in Plants and Animals

Cell to Cell Signals in Plants and Animals
Author: Volker Neuhoff
Publisher: Springer Science & Business Media
Total Pages: 398
Release: 2013-06-29
Genre: Science
ISBN: 3642764703

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Summarizing research progress achieved in 32 areas of cell biology covered in this series, this volume places special emphasis on the following topics: recognition in parasitic and symbiotic systems - the molecular biology and genetics of susceptibility and resistance of plants and animals to pathogens, parasites and symbionts - the cell to cell recognition and differentiation - the most challenging problems in developmental biology of plants and animals - the plasticity in cell to cell communication which plays a major role in cell differentiation and function.

Cumulated Index Medicus

Cumulated Index Medicus
Author:
Publisher:
Total Pages: 1448
Release: 1994
Genre: Medicine
ISBN:

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Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos
Author: Steven H. Strogatz
Publisher: CRC Press
Total Pages: 532
Release: 2018-05-04
Genre: Mathematics
ISBN: 0429961111

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This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.

Classics On Fractals

Classics On Fractals
Author: Gerald A. Edgar
Publisher: CRC Press
Total Pages: 384
Release: 2019-03-08
Genre: Science
ISBN: 0429711239

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Read the masters! Experience has shown that this is good advice for the serious mathematics student. This book contains a selection of the classical mathematical papers related to fractal geometry. For the convenience of the student or scholar wishing to learn about fractal geometry, nineteen of these papers are collected here in one place. Twelve of the nineteen have been translated into English from German, French, or Russian. In many branches of science, the work of previous generations is of interest only for historical reasons. This is much less so in mathematics.1 Modern-day mathematicians can learn (and even find good ideas) by reading the best of the papers of bygone years. In preparing this volume, I was surprised by many of the ideas that come up.

Handbook of Research Methods in Complexity Science

Handbook of Research Methods in Complexity Science
Author: Eve Mitleton-Kelly
Publisher: Edward Elgar Publishing
Total Pages: 642
Release: 2018-01-26
Genre: Business & Economics
ISBN: 1785364421

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This comprehensive Handbook is aimed at both academic researchers and practitioners in the field of complexity science. The book’s 26 chapters, specially written by leading experts, provide in-depth coverage of research methods based on the sciences of complexity. The research methods presented are illustratively applied to practical cases and are readily accessible to researchers and decision makers alike.

Index Medicus

Index Medicus
Author:
Publisher:
Total Pages: 1876
Release: 2004
Genre: Medicine
ISBN:

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Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.

Fractal Analysis

Fractal Analysis
Author: Fernando Brambila
Publisher: BoD – Books on Demand
Total Pages: 296
Release: 2017-06-14
Genre: Mathematics
ISBN: 9535131915

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Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.