Modeling Paradigms And Analysis Of Disease Transmission Models

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Modeling Paradigms and Analysis of Disease Transmission Models

Author : Abba B. Gumel,Suzanne Lenhart
Publisher : American Mathematical Soc.
Page : 286 pages
File Size : 47,9 Mb
Release : 2010
Category : Communicable diseases
ISBN : 9780821843840

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Modeling Paradigms and Analysis of Disease Transmission Models by Abba B. Gumel,Suzanne Lenhart Pdf

This volume stems from two DIMACS activities, the U.S.-Africa Advanced Study Institute and the DIMACS Workshop, both on Mathematical Modeling of Infectious Diseases in Africa, held in South Africa in the summer of 2007. It contains both tutorial papers and research papers. Students and researchers should find the papers on modeling and analyzing certain diseases currently affecting Africa very informative. In particular, they can learn basic principles of disease modeling and stability from the tutorial papers where continuous and discrete time models, optimal control, and stochastic features are introduced.

Dynamical Modeling and Analysis of Epidemics

Author : Zhien Ma
Publisher : World Scientific
Page : 513 pages
File Size : 49,7 Mb
Release : 2009
Category : Mathematics
ISBN : 9789812797506

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Dynamical Modeling and Analysis of Epidemics by Zhien Ma Pdf

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.

Modeling and Dynamics of Infectious Diseases

Author : Zhien Ma
Publisher : World Scientific
Page : 355 pages
File Size : 47,9 Mb
Release : 2009
Category : Medical
ISBN : 9789814261265

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Modeling and Dynamics of Infectious Diseases by Zhien Ma Pdf

This book provides a systematic introduction to the fundamental methods and techniques and the frontiers of OCo along with many new ideas and results on OCo infectious disease modeling, parameter estimation and transmission dynamics. It provides complementary approaches, from deterministic to statistical to network modeling; and it seeks viewpoints of the same issues from different angles, from mathematical modeling to statistical analysis to computer simulations and finally to concrete applications.

Mathematical Models in Epidemiology

Author : Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng
Publisher : Springer Nature
Page : 628 pages
File Size : 40,5 Mb
Release : 2019-10-10
Category : Mathematics
ISBN : 9781493998289

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Mathematical Models in Epidemiology by Fred Brauer,Carlos Castillo-Chavez,Zhilan Feng Pdf

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.

Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases

Author : Dongmei Chen,Bernard Moulin,Jianhong Wu
Publisher : John Wiley & Sons
Page : 496 pages
File Size : 46,9 Mb
Release : 2014-12-31
Category : Medical
ISBN : 9781118629932

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Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases by Dongmei Chen,Bernard Moulin,Jianhong Wu Pdf

Features modern research and methodology on the spread of infectious diseases and showcases a broad range of multi-disciplinary and state-of-the-art techniques on geo-simulation, geo-visualization, remote sensing, metapopulation modeling, cloud computing, and pattern analysis Given the ongoing risk of infectious diseases worldwide, it is crucial to develop appropriate analysis methods, models, and tools to assess and predict the spread of disease and evaluate the risk. Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases features mathematical and spatial modeling approaches that integrate applications from various fields such as geo-computation and simulation, spatial analytics, mathematics, statistics, epidemiology, and health policy. In addition, the book captures the latest advances in the use of geographic information system (GIS), global positioning system (GPS), and other location-based technologies in the spatial and temporal study of infectious diseases. Highlighting the current practices and methodology via various infectious disease studies, Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases features: Approaches to better use infectious disease data collected from various sources for analysis and modeling purposes Examples of disease spreading dynamics, including West Nile virus, bird flu, Lyme disease, pandemic influenza (H1N1), and schistosomiasis Modern techniques such as Smartphone use in spatio-temporal usage data, cloud computing-enabled cluster detection, and communicable disease geo-simulation based on human mobility An overview of different mathematical, statistical, spatial modeling, and geo-simulation techniques Analyzing and Modeling Spatial and Temporal Dynamics of Infectious Diseases is an excellent resource for researchers and scientists who use, manage, or analyze infectious disease data, need to learn various traditional and advanced analytical methods and modeling techniques, and become aware of different issues and challenges related to infectious disease modeling and simulation. The book is also a useful textbook and/or supplement for upper-undergraduate and graduate-level courses in bioinformatics, biostatistics, public health and policy, and epidemiology.

Mathematical Models for Communicable Diseases

Author : Fred Brauer,Carlos Castillo-Chavez
Publisher : SIAM
Page : 279 pages
File Size : 54,6 Mb
Release : 2013-02-07
Category : Mathematics
ISBN : 9781611972412

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Mathematical Models for Communicable Diseases by Fred Brauer,Carlos Castillo-Chavez Pdf

A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.

An Introduction to Mathematical Modeling of Infectious Diseases

Author : Michael Y. Li
Publisher : Springer
Page : 156 pages
File Size : 47,9 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 9783319721224

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An Introduction to Mathematical Modeling of Infectious Diseases by Michael Y. Li Pdf

This text provides essential modeling skills and methodology for the study of infectious diseases through a one-semester modeling course or directed individual studies. The book includes mathematical descriptions of epidemiological concepts, and uses classic epidemic models to introduce different mathematical methods in model analysis. Matlab codes are also included for numerical implementations. It is primarily written for upper undergraduate and beginning graduate students in mathematical sciences who have an interest in mathematical modeling of infectious diseases. Although written in a rigorous mathematical manner, the style is not unfriendly to non-mathematicians.

Mathematical Epidemiology

Author : Fred Brauer,Pauline van den Driessche,J. Wu
Publisher : Springer Science & Business Media
Page : 415 pages
File Size : 51,9 Mb
Release : 2008-04-30
Category : Medical
ISBN : 9783540789109

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Mathematical Epidemiology by Fred Brauer,Pauline van den Driessche,J. Wu Pdf

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).

Mathematical Modelling and Analysis of Infectious Diseases

Author : Khalid Hattaf,Hemen Dutta
Publisher : Springer Nature
Page : 348 pages
File Size : 46,9 Mb
Release : 2020-07-30
Category : Technology & Engineering
ISBN : 9783030498962

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Mathematical Modelling and Analysis of Infectious Diseases by Khalid Hattaf,Hemen Dutta Pdf

This book discusses significant research and study topics related to mathematical modelling and analysis of infectious diseases. It includes several models and modelling approaches with different aims, such as identifying and analysing causes of occurrence and re-occurrence, causes of spreading, treatments and control strategies. A valuable resource for researchers, students, educators, scientists, professionals and practitioners interested in gaining insights into various aspects of infectious diseases using mathematical modelling and mathematical analysis, the book will also appeal to general readers wanting to understand the dynamics of various diseases and related issues. Key Features Mathematical models that describe population prevalence or incidence of infectious diseases Mathematical tools and techniques to analyse data on the incidence of infectious diseases Early detection and risk estimate models of infectious diseases Mathematical models that describe the transmission of infectious diseases and analyse data Dynamical analysis and control strategies for infectious diseases Studies comparing the utility of particular models in describing infected diseases-related issues such as social, health and economic

Applications of Epidemiological Models to Public Health Policymaking

Author : Zhilan Feng
Publisher : World Scientific
Page : 306 pages
File Size : 44,7 Mb
Release : 2014
Category : Medical
ISBN : 9789814522359

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Applications of Epidemiological Models to Public Health Policymaking by Zhilan Feng Pdf

Mathematical models can be very helpful to understand the transmission dynamics of infectious diseases. This book presents examples of epidemiological models and modeling tools that can assist policymakers to assess and evaluate disease control strategies. Contents: Development and Analysis of Models for Infectious Diseases; Application of Models to Real Disease Data; User-Friendly Modeling Tools for Public Health Policymakers. Readership: Researchers in mathematical biology, mathematical modeling, infectious diseases and complex systems.

Computational Epidemiology

Author : Jiming Liu,Shang Xia
Publisher : Springer Nature
Page : 126 pages
File Size : 47,5 Mb
Release : 2020-09-18
Category : Medical
ISBN : 9783030521097

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Computational Epidemiology by Jiming Liu,Shang Xia Pdf

This book provides a comprehensive introduction to computational epidemiology, highlighting its major methodological paradigms throughout the development of the field while emphasizing the needs for a new paradigm shift in order to most effectively address the increasingly complex real-world challenges in disease control and prevention. Specifically, the book presents the basic concepts, related computational models, and tools that are useful for characterizing disease transmission dynamics with respect to a heterogeneous host population. In addition, it shows how to develop and apply computational methods to tackle the challenges involved in population-level intervention, such as prioritized vaccine allocation. A unique feature of this book is that its examination on the issues of vaccination decision-making is not confined only to the question of how to develop strategic policies on prioritized interventions, as it further approaches the issues from the perspective of individuals, offering a well integrated cost-benefit and social-influence account for voluntary vaccination decisions. One of the most important contributions of this book lies in it offers a blueprint on a novel methodological paradigm in epidemiology, namely, systems epidemiology, with detailed systems modeling principles, as well as practical steps and real-world examples, which can readily be applied in addressing future systems epidemiological challenges. The book is intended to serve as a reference book for researchers and practitioners in the fields of computer science and epidemiology. Together with the provided references on the key concepts, methods, and examples being introduced, the book can also readily be adopted as an introductory text for undergraduate and graduate courses in computational epidemiology as well as systems epidemiology, and as training materials for practitioners and field workers.

Infectious Disease Modeling

Author : Xinzhi Liu,Peter Stechlinski
Publisher : Springer
Page : 271 pages
File Size : 45,5 Mb
Release : 2017-02-25
Category : Mathematics
ISBN : 9783319532080

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Infectious Disease Modeling by Xinzhi Liu,Peter Stechlinski Pdf

This volume presents infectious diseases modeled mathematically, taking seasonality and changes in population behavior into account, using a switched and hybrid systems framework. The scope of coverage includes background on mathematical epidemiology, including classical formulations and results; a motivation for seasonal effects and changes in population behavior, an investigation into term-time forced epidemic models with switching parameters, and a detailed account of several different control strategies. The main goal is to study these models theoretically and to establish conditions under which eradication or persistence of the disease is guaranteed. In doing so, the long-term behavior of the models is determined through mathematical techniques from switched systems theory. Numerical simulations are also given to augment and illustrate the theoretical results and to help study the efficacy of the control schemes.

Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases

Author : Gerardo Chowell,James M. Hyman
Publisher : Springer
Page : 356 pages
File Size : 45,7 Mb
Release : 2016-07-27
Category : Mathematics
ISBN : 9783319404134

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Mathematical and Statistical Modeling for Emerging and Re-emerging Infectious Diseases by Gerardo Chowell,James M. Hyman Pdf

The contributions by epidemic modeling experts describe how mathematical models and statistical forecasting are created to capture the most important aspects of an emerging epidemic.Readers will discover a broad range of approaches to address questions, such as Can we control Ebola via ring vaccination strategies? How quickly should we detect Ebola cases to ensure epidemic control? What is the likelihood that an Ebola epidemic in West Africa leads to secondary outbreaks in other parts of the world? When does it matter to incorporate the role of disease-induced mortality on epidemic models? What is the role of behavior changes on Ebola dynamics? How can we better understand the control of cholera or Ebola using optimal control theory? How should a population be structured in order to mimic the transmission dynamics of diseases such as chlamydia, Ebola, or cholera? How can we objectively determine the end of an epidemic? How can we use metapopulation models to understand the role of movement restrictions and migration patterns on the spread of infectious diseases? How can we capture the impact of household transmission using compartmental epidemic models? How could behavior-dependent vaccination affect the dynamical outcomes of epidemic models? The derivation and analysis of the mathematical models addressing these questions provides a wide-ranging overview of the new approaches being created to better forecast and mitigate emerging epidemics. This book will be of interest to researchers in the field of mathematical epidemiology, as well as public health workers.

The Geographic Spread of Infectious Diseases

Author : Lisa Sattenspiel,Alun Lloyd
Publisher : Princeton University Press
Page : 299 pages
File Size : 46,6 Mb
Release : 2009-07-26
Category : Mathematics
ISBN : 9780691121321

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The Geographic Spread of Infectious Diseases by Lisa Sattenspiel,Alun Lloyd Pdf

The 1918-19 influenza epidemic killed more than fifty million people worldwide. The SARS epidemic of 2002-3, by comparison, killed fewer than a thousand. The success in containing the spread of SARS was due largely to the rapid global response of public health authorities, which was aided by insights resulting from mathematical models. Models enabled authorities to better understand how the disease spread and to assess the relative effectiveness of different control strategies. In this book, Lisa Sattenspiel and Alun Lloyd provide a comprehensive introduction to mathematical models in epidemiology and show how they can be used to predict and control the geographic spread of major infectious diseases. Key concepts in infectious disease modeling are explained, readers are guided from simple mathematical models to more complex ones, and the strengths and weaknesses of these models are explored. The book highlights the breadth of techniques available to modelers today, such as population-based and individual-based models, and covers specific applications as well. Sattenspiel and Lloyd examine the powerful mathematical models that health authorities have developed to understand the spatial distribution and geographic spread of influenza, measles, foot-and-mouth disease, and SARS. Analytic methods geographers use to study human infectious diseases and the dynamics of epidemics are also discussed. A must-read for students, researchers, and practitioners, no other book provides such an accessible introduction to this exciting and fast-evolving field.