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Digital
ISBN: 9783540264774 Year: 2005 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg
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Operational research. Game theory --- Mathematical physics --- Quantum mechanics. Quantumfield theory --- Statistical physics --- Thermodynamics --- Computer science --- neuronale netwerken --- thermodynamica --- quantumfysica --- stochastische analyse --- statistiek --- wiskunde --- fysica --- kansrekening
Multi
ISBN: 9783030971786 9783030971779 9783030971793 9783030971809 Year: 2022 Publisher: Cham, Switzerland : Springer,
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This book addresses the COVID-19 pandemic from a quantitative perspective based on mathematical models and methods largely used in nonlinear physics. It aims to study COVID-19 epidemics in countries and SARS-CoV-2 infections in individuals from the nonlinear physics perspective and to model explicitly COVID-19 data observed in countries and virus load data observed in COVID-19 patients. The first part of this book provides a short technical introduction into amplitude spaces given by eigenvalues, eigenvectors, and amplitudes.In the second part of the book, mathematical models of epidemiology are introduced such as the SIR and SEIR models and applied to describe COVID-19 epidemics in various countries around the world. In the third part of the book, virus dynamics models are considered and applied to infections in COVID-19 patients. This book is written for researchers, modellers, and graduate students in physics and medicine, epidemiology and virology, biology, applied mathematics, and computer sciences. This book identifies the relevant mechanisms behind past COVID-19 outbreaks and in doing so can help efforts to stop future COVID-19 outbreaks and other epidemic outbreaks. Likewise, this book points out the physics underlying SARS-CoV-2 infections in patients and in doing so supports a physics perspective to address human immune reactions to SARS-CoV-2 infections and similar virus infections.
Discrete mathematics --- Mathematics --- Mathematical physics --- Classical mechanics. Field theory --- Hygiene. Public health. Protection --- Epidemiology --- volksgezondheid --- grafentheorie --- epidemiologie --- systeemtheorie --- wiskunde --- fysica --- dynamica --- Mathematical models.
Book
ISBN: 9783540264774 Year: 2005 Publisher: Berlin Heidelberg Springer Berlin Heidelberg
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Providing an introduction to the theory of nonlinear Fokker-Planck equations, this book discusses fundamental properties of transient and stationary solutions, emphasizing the stability analysis of stationary solutions by means of self-consistency equations, linear stability analysis, and Lyapunov's direct method. Also treated are Langevin equations and correlation functions. Nonlinear Fokker-Planck Equations addresses various phenomena such as phase transitions, multistability of systems, synchronization, anomalous diffusion, cut-off solutions, travelling-wave solutions and the emergence of power law solutions. A nonlinear Fokker-Planck perspective to quantum statistics, generalized thermodynamics, and linear nonequilibrium thermodynamics is given. Theoretical concepts are illustrated where possible by simple examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics.
Operational research. Game theory --- Mathematical physics --- Quantum mechanics. Quantumfield theory --- Statistical physics --- Thermodynamics --- Computer science --- neuronale netwerken --- thermodynamica --- quantumfysica --- stochastische analyse --- statistiek --- wiskunde --- fysica --- kansrekening
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