Epidemic Dynamics In Heterogeneous Populations
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Epidemic Dynamics In Heterogeneous Populations
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Author : Thomas Joseph Hladish
language : en
Publisher:
Release Date : 2012
Epidemic Dynamics In Heterogeneous Populations written by Thomas Joseph Hladish and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
Epidemiological models traditionally make the assumption that populations are homogeneous. By relaxing that assumption, models often become more complicated, but better representations of the real world. Here we describe new computational tools for studying heterogeneous populations, and we examine consequences of two particular types of heterogeneity: that people are not all equally likely to interact, and that people are not all equally likely to become infected if exposed to a pathogen. Contact network epidemiology provides a robust and flexible paradigm for thinking about heterogeneous populations. Despite extensive mathematical and algorithmic methods, however, we lack a programming framework for working with epidemiological contact networks and for the simulation of disease transmission through such networks. We present EpiFire, a C++ applications programming interface and graphical user interface, which includes a fast and efficient library for generating, analyzing and manipulating networks. EpiFire also provides a variety of traditional and network-based epidemic simulations. Heterogeneous population structure may cause multi-wave epidemics, but urban populations are generally assumed to be too well mixed to have such structure. Multi-wave epidemics are not predicted by simple models, and are particularly problematic for public health officials deploying limited resources. Using a unique empirical interaction network for 103,000 people in Montreal, Canada, we show that large, urban populations may feature sufficient community structure to drive multi-wave dynamics, and that highly connected individuals may play an important role in whether communities are synchronized. Finally, we show that heterogeneous immunity is an important determinant of influenza epidemic size. While many epidemic models assume a homogeneously susceptible population and describe dynamics for one season, the trans-seasonal dynamics of partially immunizing diseases likely play a critical role in determining both future epidemic size and pathogen evolution. We present a multi-season network model of a population exposed to a pathogen conferring partial cross-immunity that decays over time. We fit the model to 25 years of influenza-like illness epidemic data from France using a novel Bayesian technique. Using conservative priors, we estimate important epidemiological quantities that are consistent with empirical studies.
From Kinetic Theory To Turbulence Modeling
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Author : Paolo Barbante
language : en
Publisher: Springer Nature
Release Date : 2023-04-29
From Kinetic Theory To Turbulence Modeling written by Paolo Barbante and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-29 with Mathematics categories.
The book collects relevant contributions presented at a conference, organized in honour of Carlo Cercignani, that took place at Politecnico di Milano on May 24–28, 2021. Different research areas characterizing the scientific work of Carlo Cercignani have been considered with a particular focus on: mathematical and numerical methods for kinetic equations; kinetic modelling of gas mixtures and polyatomic gases; applications of the Boltzmann equation to electron transport, social phenomena and epidemic spread; turbulence modelling; the Einstein Classical Program; Dynamical Systems Theory.
Ecology Genetics And Evolution Of Metapopulations
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Author : Ilkka A. Hanski
language : en
Publisher: Academic Press
Release Date : 2004-02-26
Ecology Genetics And Evolution Of Metapopulations written by Ilkka A. Hanski and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-02-26 with Science categories.
Spatial dynamics, landscape, population.
Epidemics
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Author : Ottar N. Bjørnstad
language : en
Publisher: Springer Nature
Release Date : 2022-12-13
Epidemics written by Ottar N. Bjørnstad and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-13 with Medical categories.
This book is designed to be a practical study in infectious disease dynamics. It offers an easy-to-follow implementation and analysis of mathematical epidemiology. It focuses on recent case studies in order to explore various conceptual, mathematical, and statistical issues. The dynamics of infectious diseases shows a wide diversity of pattern. Some have locally persistent chains-of-transmission, others persist spatially in consumer-resource metapopulations. Some infections are prevalent among the young, some among the old and some are age-invariant. Temporally, some diseases have little variation in prevalence, some have predictable seasonal shifts and others exhibit violent epidemics that may be regular or irregular in their timing. Models and ‘models-with-data’ have proved invaluable for understanding and predicting this diversity, and thence help improve intervention and control. Using mathematical models to understand infectious disease, dynamics has a very rich history in epidemiology. The field has seen broad expansions of theories as well as a surge in real-life application of mathematics to dynamics and control of infectious disease. The chapters of Epidemics: Models and Data Using R have been organized as follows: chapters 1-10 is a mix and match of models, data and statistics pertaining to local disease dynamics; chapters 11-13 pertains to spatial and spatiotemporal dynamics; chapter 14 highlights similarities between the dynamics of infectious disease and parasitoid-host dynamics; Finally, chapters 15 and 16 overview additional statistical methodology useful in studies of infectious disease dynamics. This book can be used as a guide for working with data, models and ‘models-and-data’ to understand epidemics and infectious disease dynamics in space and time. All the code and data sets are distributed in the epimdr2 R package to facilitate the hands-on philosophy of the text.
Propagation Dynamics On Complex Networks
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Author : Xinchu Fu
language : en
Publisher: John Wiley & Sons
Release Date : 2013-12-17
Propagation Dynamics On Complex Networks written by Xinchu Fu and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-17 with Mathematics categories.
Explores the emerging subject of epidemic dynamics on complex networks, including theories, methods, and real-world applications Throughout history epidemic diseases have presented a serious threat to human life, and in recent years the spread of infectious diseases such as dengue, malaria, HIV, and SARS has captured global attention; and in the modern technological age, the proliferation of virus attacks on the Internet highlights the emergent need for knowledge about modeling, analysis, and control in epidemic dynamics on complex networks. For advancement of techniques, it has become clear that more fundamental knowledge will be needed in mathematical and numerical context about how epidemic dynamical networks can be modelled, analyzed, and controlled. This book explores recent progress in these topics and looks at issues relating to various epidemic systems. Propagation Dynamics on Complex Networks covers most key topics in the field, and will provide a valuable resource for graduate students and researchers interested in network science and dynamical systems, and related interdisciplinary fields. Key Features: Includes a brief history of mathematical epidemiology and epidemic modeling on complex networks. Explores how information, opinion, and rumor spread via the Internet and social networks. Presents plausible models for propagation of SARS and avian influenza outbreaks, providing a reality check for otherwise abstract mathematical modeling. Considers various infectivity functions, including constant, piecewise-linear, saturated, and nonlinear cases. Examines information transmission on complex networks, and investigates the difference between information and epidemic spreading.
Biomat 2013 International Symposium On Mathematical And Computational Biology
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Author : Rubem P Mondaini
language : en
Publisher: World Scientific
Release Date : 2014-04-02
Biomat 2013 International Symposium On Mathematical And Computational Biology written by Rubem P Mondaini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-02 with Mathematics categories.
This is a book of a series on interdisciplinary topics on the Biological and Mathematical Sciences. The chapters correspond to selected papers on special research themes, which have been presented at BIOMAT 2013 International Symposium on Mathematical and Computational Biology which was held in the Fields Institute for Research in Mathematical Sciences, Toronto, Ontario, Canada, on November 04 - 08, 2013. The treatment is both pedagogical and advanced in order to motivate research students as well as to fulfill the requirements of professional practitioners. There are comprehensive reviews written by prominent scientific leaders of famous research groups.
Trust And Artificial Intelligence
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Author : Joanna Paliszkiewicz
language : en
Publisher: Taylor & Francis
Release Date : 2024-08-01
Trust And Artificial Intelligence written by Joanna Paliszkiewicz and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-01 with Business & Economics categories.
Trust and Artificial Intelligence: Development and Application of AI Technology explores the crucial role of trust in the development and application of artificial intelligence (AI) technology. The book discusses the challenges and opportunities associated with building trust in AI systems and highlights the importance of transparency, accountability, and ethics in creating trustworthy AI. Drawing on the latest research and case studies, the book provides valuable insights and practical strategies for building trust in AI that can be applied by developers, policymakers, and end-users. It is a must-read for anyone interested in the intersection of technology and society and the future of artificial intelligence. Across its two distinct sections, the book delves deep into both theoretical frameworks and real-world applications. Section I, "Trust in Artificial Intelligence Technology," comprises 12 insightful chapters, each shedding light on different aspects of trust in AI. From ethical considerations and the credibility of AI systems to the intricacies of blockchain technology and digital therapists, the book offers a kaleidoscope of perspectives, showcasing how trust shapes and is shaped by AI advancements. Section II, "Trust in Artificial Intelligence Technology Applications," extends the discourse to practical implications and case studies. With 12 additional chapters, it scrutinizes the impact of AI on diverse sectors such as healthcare, agriculture, the labor market, and online shopping. It contemplates the trust dynamics in neural networks, public sector AI, and the burgeoning field of last-mile logistics. The book is more than just an academic text; it is a vital conversation starter in the ever-evolving discourse of AI. It challenges us to rethink our relationship with technology, underlining the critical role of trust in harnessing the full potential of AI for a better, more efficient, and ethically sound future.
The Geometry Of Ecological Interactions
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Author : Ulf Dieckmann
language : en
Publisher: Cambridge University Press
Release Date : 2000-05-04
The Geometry Of Ecological Interactions written by Ulf Dieckmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-04 with Mathematics categories.
The field of theoretical ecology has expanded dramatically in the last few years. This volume gives detailed coverage of the main developing areas in spatial ecological theory, and is written by world experts in the field. Integrating the perspective from field ecology with novel methods for simplifying spatial complexity, it offers a didactical treatment with a gradual increase in mathematical sophistication from beginning to end. In addition, the volume features introductions to those fundamental phenomena in spatial ecology where emerging spatial patterns influence ecological outcomes quantitatively. An appreciation of the consequences of this is required if ecological theory is to move on in the 21st century. Written for reseachers and graduate students in theoretical, evolutionary and spatial ecology, applied mathematics and spatial statistics, it will be seen as a ground breaking treatment of modern spatial ecological theory.
New Frontiers Of Molecular Epidemiology Of Infectious Diseases
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Author : Serge Morand
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-08
New Frontiers Of Molecular Epidemiology Of Infectious Diseases written by Serge Morand and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-08 with Medical categories.
Molecular epidemiology has recently broaden its focuses due to the development of molecular tools but also by incorporating advances of other fields such as mathematical epidemiology, molecular ecology, population genetics and evolution. Facing new risks of emerging and re-emerging infectious diseases that are threats for humans and their livestock, the objectives of molecular epidemiology include: - the development of molecular tools, genotyping and gene expression - the incorporation of concepts and results of population genetics of infectious diseases - the integration of recent advances in theoretical epidemiology and evolutionary ecology of diseases - a better understanding of transmission for the development of risk factors analyses. This book will demonstrate how the latest developments in molecular tools and in epidemiology can be integrated with studies of host-pathogen interactions. Besides a strong theoretical component, there will also be an emphasis on applications in the fields of epidemiology, public health, veterinary medicine, and health ecology. Students and researchers in the fields of epidemiology, animal and human health, evolutionary ecology, parasitology are the main potential readers of the book, as well as a broader audience from veterinary medicine and conservation.
Dynamical Systems And Their Applications In Biology
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Author : Shigui Ruan
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Dynamical Systems And Their Applications In Biology written by Shigui Ruan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology. The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, population dynamics, and physiology. The material is suitable for graduate students and research mathematicians interested in ordinary differential equations and their applications in biology. Also available by Ruan, Wolkowicz, and Wu is Differential Equations with Applications to Biology, Volume 21 in the AMS series Fields Institute Communications.