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Titlebook: Mathematical Epidemiology; Fred Brauer,Pauline Driessche,Jianhong Wu Book 2008 Springer-Verlag Berlin Heidelberg 2008 Epidemiology.Mathema

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书目名称Mathematical Epidemiology
编辑Fred Brauer,Pauline Driessche,Jianhong Wu
视频video
概述Includes supplementary material:
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Mathematical Epidemiology;  Fred Brauer,Pauline Driessche,Jianhong Wu Book 2008 Springer-Verlag Berlin Heidelberg 2008 Epidemiology.Mathema
描述.Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation...Notes on some mathematical background (calculus, matrix algebra, differential equations, and probability) have been prepared and may be downloaded at the web site of the Centre for Disease Modeling (www.cdm.yorku.ca)..
出版日期Book 2008
关键词Epidemiology; Mathematical epidemiology; Pandemic Influenza; applied nonlinear dynamics; epidemics; mathe
版次1
doihttps://doi.org/10.1007/978-3-540-78911-6
isbn_softcover978-3-540-78910-9
isbn_ebook978-3-540-78911-6Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2008
The information of publication is updating

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Further Notes on the Basic Reproduction Numberlgorithm for obtaining .. for a general compartmental ordinary differential equation model of disease transmission. Several examples of calculating .. are included, and the epidemiological interpretation of this threshold parameter is connected to the local and global stability of a disease-free equilibrium.
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The Role of Mathematical Models in Explaining Recurrent Outbreaks of Infectious Childhood Diseaseshood disease models that have been developed since the start of the twentieth century. This paper also discusses the influence of data analysis techniques, such as spectral analysis, on the understanding and modelling of childhood disease dynamics.
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Book 2008omprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West
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Deterministic Compartmental Models: Extensions of Basic Modelsreduce the spread of disease. A constant period of temporary immunity is introduced in an SIRS model as the third feature. This results in an integrodifferential equation for the fraction of infectives. Analysis shows that, for some parameter values, Hopf bifurcation can give rise to periodic solutions.
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Spatial Structure: Partial Differential Equations Modelss. We illustrate the general theory via two case studies, one about the spread of rabies in continental Europe during the period 1945–1985 and another about spread rates of West Nile virus in North America.
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