Dynamical Processes on Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 9781107626256
Total Pages : 361 pages
Book Rating : 4.6/5 (262 download)

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Book Synopsis Dynamical Processes on Complex Networks by : Alain Barrat

Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by Cambridge University Press. This book was released on 2012-10-11 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: The availability of large data sets have allowed researchers to uncover complex properties such as large scale fluctuations and heterogeneities in many networks which have lead to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. For example, a vast number of everyday systems, from the brain to ecosystems, power grids and the Internet, can be represented as large complex networks. This new and recent account presents a comprehensive explanation of these effects.

Epidemic Processes on Complex Networks

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Publisher :
ISBN 13 : 9789461864116
Total Pages : pages
Book Rating : 4.8/5 (641 download)

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Book Synopsis Epidemic Processes on Complex Networks by :

Download or read book Epidemic Processes on Complex Networks written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Epidemics and Rumours in Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 9780521734431
Total Pages : 0 pages
Book Rating : 4.7/5 (344 download)

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Book Synopsis Epidemics and Rumours in Complex Networks by : Moez Draief

Download or read book Epidemics and Rumours in Complex Networks written by Moez Draief and published by Cambridge University Press. This book was released on 2009-12-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information propagation through peer-to-peer systems, online social systems, wireless mobile ad hoc networks and other modern structures can be modelled as an epidemic on a network of contacts. Understanding how epidemic processes interact with network topology allows us to predict ultimate course, understand phase transitions and develop strategies to control and optimise dissemination. This book is a concise introduction for applied mathematicians and computer scientists to basic models, analytical tools and mathematical and algorithmic results. Mathematical tools introduced include coupling methods, Poisson approximation (the Stein-Chen method), concentration inequalities (Chernoff bounds and Azuma-Hoeffding inequality) and branching processes. The authors examine the small-world phenomenon, preferential attachment, as well as classical epidemics. Each chapter ends with pointers to the wider literature. An ideal accompaniment for graduate courses, this book is also for researchers (statistical physicists, biologists, social scientists) who need an efficient guide to modern approaches to epidemic modelling on networks.

Epidemics and Rumours in Complex Networks

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Publisher :
ISBN 13 : 9781316087299
Total Pages : 123 pages
Book Rating : 4.0/5 (872 download)

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Book Synopsis Epidemics and Rumours in Complex Networks by : Moez Draief

Download or read book Epidemics and Rumours in Complex Networks written by Moez Draief and published by . This book was released on 2010 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information propagation through peer-to-peer systems, online social systems, wireless mobile ad hoc networks and other modern structures can be modelled as an epidemic on a network of contacts. Understanding how epidemic processes interact with network topology allows us to predict ultimate course, understand phase transitions and develop strategies to control and optimise dissemination. This book is a concise introduction for applied mathematicians and computer scientists to basic models, analytical tools and mathematical and algorithmic results. Mathematical tools introduced include coupling methods, Poisson approximation (the Stein-Chen method), concentration inequalities (Chernoff bounds and Azuma-Hoeffding inequality) and branching processes. The authors examine the small-world phenomenon, preferential attachment, as well as classical epidemics. Each chapter ends with pointers to the wider literature. An ideal accompaniment for graduate courses, this book is also for researchers (statistical physicists, biologists, social scientists) who need an efficient guide to modern approaches to epidemic modelling on networks.

Mathematics of Epidemics on Networks

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Publisher : Springer
ISBN 13 : 3319508067
Total Pages : 423 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Mathematics of Epidemics on Networks by : István Z. Kiss

Download or read book Mathematics of Epidemics on Networks written by István Z. Kiss and published by Springer. This book was released on 2017-06-08 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides an exciting new addition to the area of network science featuring a stronger and more methodical link of models to their mathematical origin and explains how these relate to each other with special focus on epidemic spread on networks. The content of the book is at the interface of graph theory, stochastic processes and dynamical systems. The authors set out to make a significant contribution to closing the gap between model development and the supporting mathematics. This is done by: Summarising and presenting the state-of-the-art in modeling epidemics on networks with results and readily usable models signposted throughout the book; Presenting different mathematical approaches to formulate exact and solvable models; Identifying the concrete links between approximate models and their rigorous mathematical representation; Presenting a model hierarchy and clearly highlighting the links between model assumptions and model complexity; Providing a reference source for advanced undergraduate students, as well as doctoral students, postdoctoral researchers and academic experts who are engaged in modeling stochastic processes on networks; Providing software that can solve differential equation models or directly simulate epidemics on networks. Replete with numerous diagrams, examples, instructive exercises, and online access to simulation algorithms and readily usable code, this book will appeal to a wide spectrum of readers from different backgrounds and academic levels. Appropriate for students with or without a strong background in mathematics, this textbook can form the basis of an advanced undergraduate or graduate course in both mathematics and other departments alike.

Propagation Dynamics on Complex Networks

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Publisher : John Wiley & Sons
ISBN 13 : 1118762819
Total Pages : 273 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Propagation Dynamics on Complex Networks by : Xinchu Fu

Download or read book Propagation Dynamics on Complex Networks written by Xinchu Fu and published by John Wiley & Sons. This book was released on 2013-12-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Spreading Phenomena in Social Systems

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Publisher : Springer
ISBN 13 : 3319773321
Total Pages : 356 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Complex Spreading Phenomena in Social Systems by : Sune Lehmann

Download or read book Complex Spreading Phenomena in Social Systems written by Sune Lehmann and published by Springer. This book was released on 2018-06-21 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is about spreading of information and influence in complex networks. Although previously considered similar and modeled in parallel approaches, there is now experimental evidence that epidemic and social spreading work in subtly different ways. While previously explored through modeling, there is currently an explosion of work on revealing the mechanisms underlying complex contagion based on big data and data-driven approaches. This volume consists of four parts. Part 1 is an Introduction, providing an accessible summary of the state of the art. Part 2 provides an overview of the central theoretical developments in the field. Part 3 describes the empirical work on observing spreading processes in real-world networks. Finally, Part 4 goes into detail with recent and exciting new developments: dedicated studies designed to measure specific aspects of the spreading processes, often using randomized control trials to isolate the network effect from confounders, such as homophily. Each contribution is authored by leading experts in the field. This volume, though based on technical selections of the most important results on complex spreading, remains quite accessible to the newly interested. The main benefit to the reader is that the topics are carefully structured to take the novice to the level of expert on the topic of social spreading processes. This book will be of great importance to a wide field: from researchers in physics, computer science, and sociology to professionals in public policy and public health.

Temporal Network Epidemiology

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Publisher : Springer
ISBN 13 : 9811052875
Total Pages : 345 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Temporal Network Epidemiology by : Naoki Masuda

Download or read book Temporal Network Epidemiology written by Naoki Masuda and published by Springer. This book was released on 2017-10-04 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent developments in epidemic process models and related data on temporally varying networks. It is widely recognized that contact networks are indispensable for describing, understanding, and intervening to stop the spread of infectious diseases in human and animal populations; “network epidemiology” is an umbrella term to describe this research field. More recently, contact networks have been recognized as being highly dynamic. This observation, also supported by an increasing amount of new data, has led to research on temporal networks, a rapidly growing area. Changes in network structure are often informed by epidemic (or other) dynamics, in which case they are referred to as adaptive networks. This volume gathers contributions by prominent authors working in temporal and adaptive network epidemiology, a field essential to understanding infectious diseases in real society.

Dynamical Processes on Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 1107377420
Total Pages : 409 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Dynamical Processes on Complex Networks by : Alain Barrat

Download or read book Dynamical Processes on Complex Networks written by Alain Barrat and published by Cambridge University Press. This book was released on 2008-10-23 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: The availability of large data sets has allowed researchers to uncover complex properties such as large-scale fluctuations and heterogeneities in many networks, leading to the breakdown of standard theoretical frameworks and models. Until recently these systems were considered as haphazard sets of points and connections. Recent advances have generated a vigorous research effort in understanding the effect of complex connectivity patterns on dynamical phenomena. This book presents a comprehensive account of these effects. A vast number of systems, from the brain to ecosystems, power grids and the internet, can be represented as large complex networks. This book will interest graduate students and researchers in many disciplines, from physics and statistical mechanics to mathematical biology and information science. Its modular approach allows readers to readily access the sections of most interest to them, and complicated maths is avoided so the text can be easily followed by non-experts in the subject.

Perspectives in Mathematical Sciences

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Publisher : World Scientific
ISBN 13 : 9814289310
Total Pages : 371 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Perspectives in Mathematical Sciences by : Yisong Yang

Download or read book Perspectives in Mathematical Sciences written by Yisong Yang and published by World Scientific. This book was released on 2010 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. Periodic boundary problems for analytic function including automorphic functions / Haitao Cai and Jian-Ke Lu -- 2. Subharmonic bifurcations and chaos for a model of micro-cantilever in MEMS / Yushu Chen, Liangqiang Zhou and Fangqi Chen -- 3. Canonical sample spaces for random dynamical systems / Jinqiao Duan, Xingye Kan and Bjorn Schmalfuss -- 4. Epidemic propagation dynamics on complex networks / Xinchu Fu ... [et al.] -- 5. Inverse problems for equations of parabolic type / Zhibin Han, Yongzhong Huang and Ming Jian -- 6. The existence and asymptotic properties of nontrivial solutions of nonlinear (2 - q)-Laplacian type problems with linking geometric structure / Gongbao Li and Zhaofen Shen -- 7. Chaotic dynamics for the two-component Bose-Einstein condensate system / Jibin Li -- 8. Recent developments and perspectives in nonlinear dynamics / Zengrong Liu -- 9. Mathematical aspects of the cold plasma model / Thomas H. Otway -- 10. Gravitating Yang-Mills fields in all dimensions / Eugen Radu and D. H. Tchrakian -- 11. Hamiltonian constraint and Mandelstam identities over extended knot families [symbol] and [symbol] in extended loop gravity / Dan Shao, Liang Shao and Changgui Shao -- 12. Lattice Boltzmann simulation of nonlinear Schrödinger equation with variable coefficients / Baochang Shi -- 13. Exponential stability of nonlocal time-delayed burgers equation / Yanbin Tang -- 14. Bifurcation analysis of the Swift-Hohenberg equation with quintic nonlinearity and Neumann boundary condition / Qingkun Xiao and Hongjun Gao -- 15. A new GL method for mathematical and physical problems / Ganquan Xie and Jianhua Li -- 16. Harmonically representing topological classes / Yisong Yang.

Performance Analysis of Complex Networks and Systems

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Publisher : Cambridge University Press
ISBN 13 : 1107058600
Total Pages : 692 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Performance Analysis of Complex Networks and Systems by : Piet Van Mieghem

Download or read book Performance Analysis of Complex Networks and Systems written by Piet Van Mieghem and published by Cambridge University Press. This book was released on 2014-04-24 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the mathematical, stochastic and graph theoretic methods to analyse the performance and robustness of complex networks and systems.

Complex Networks & Their Applications IX

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Publisher : Springer Nature
ISBN 13 : 3030653471
Total Pages : 702 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Complex Networks & Their Applications IX by : Rosa M. Benito

Download or read book Complex Networks & Their Applications IX written by Rosa M. Benito and published by Springer Nature. This book was released on 2020-12-19 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory and a multitude of applications. It presents the peer-reviewed proceedings of the IX International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2020). The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure, network dynamics; diffusion, epidemics and spreading processes; resilience and control as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks and technological networks.

Dynamics On and Of Complex Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 0817647503
Total Pages : 310 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Dynamics On and Of Complex Networks by : Niloy Ganguly

Download or read book Dynamics On and Of Complex Networks written by Niloy Ganguly and published by Springer Science & Business Media. This book was released on 2009-04-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book systematically explores the statistical dynamics on and of complex networks having relevance across a large number of scientific disciplines. The theories related to complex networks are increasingly being used by researchers for their usefulness in harnessing the most difficult problems of a particular discipline. The book is a collection of surveys and cutting-edge research contributions exploring the interdisciplinary relationship of dynamics on and of complex networks. Topics covered include complex networks found in nature—genetic pathways, ecological networks, linguistic systems, and social systems—as well as man-made systems such as the World Wide Web and peer-to-peer networks. The contributed chapters in this volume are intended to promote cross-fertilization in several research areas, and will be valuable to newcomers in the field, experienced researchers, practitioners, and graduate students interested in systems exhibiting an underlying complex network structure in disciplines such as computer science, biology, statistical physics, nonlinear dynamics, linguistics, and the social sciences.

Modularity and Dynamics on Complex Networks

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Publisher : Cambridge University Press
ISBN 13 : 1108808654
Total Pages : 102 pages
Book Rating : 4.1/5 (88 download)

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Book Synopsis Modularity and Dynamics on Complex Networks by : Renaud Lambiotte

Download or read book Modularity and Dynamics on Complex Networks written by Renaud Lambiotte and published by Cambridge University Press. This book was released on 2022-02-03 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex networks are typically not homogeneous, as they tend to display an array of structures at different scales. A feature that has attracted a lot of research is their modular organisation, i.e., networks may often be considered as being composed of certain building blocks, or modules. In this Element, the authors discuss a number of ways in which this idea of modularity can be conceptualised, focusing specifically on the interplay between modular network structure and dynamics taking place on a network. They discuss, in particular, how modular structure and symmetries may impact on network dynamics and, vice versa, how observations of such dynamics may be used to infer the modular structure. They also revisit several other notions of modularity that have been proposed for complex networks and show how these can be related to and interpreted from the point of view of dynamical processes on networks.

Complex Networks and Their Applications VII

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Publisher : Springer
ISBN 13 : 303005411X
Total Pages : 906 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Complex Networks and Their Applications VII by : Luca Maria Aiello

Download or read book Complex Networks and Their Applications VII written by Luca Maria Aiello and published by Springer. This book was released on 2018-12-01 with total page 906 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights cutting-edge research in the field of network science, offering scientists, researchers, students and practitioners a unique update on the latest advances in theory, together with a wealth of applications. It presents the peer-reviewed proceedings of the VII International Conference on Complex Networks and their Applications (COMPLEX NETWORKS 2018), which was held in Cambridge on December 11–13, 2018. The carefully selected papers cover a wide range of theoretical topics such as network models and measures; community structure and network dynamics; diffusion, epidemics and spreading processes; and resilience and control; as well as all the main network applications, including social and political networks; networks in finance and economics; biological and neuroscience networks; and technological networks.

Stochastic Epidemic Models with Inference

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Publisher : Springer Nature
ISBN 13 : 3030309002
Total Pages : 474 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Stochastic Epidemic Models with Inference by : Tom Britton

Download or read book Stochastic Epidemic Models with Inference written by Tom Britton and published by Springer Nature. This book was released on 2019-11-30 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focussing on stochastic models for the spread of infectious diseases in a human population, this book is the outcome of a two-week ICPAM/CIMPA school on "Stochastic models of epidemics" which took place in Ziguinchor, Senegal, December 5–16, 2015. The text is divided into four parts, each based on one of the courses given at the school: homogeneous models (Tom Britton and Etienne Pardoux), two-level mixing models (David Sirl and Frank Ball), epidemics on graphs (Viet Chi Tran), and statistics for epidemic models (Catherine Larédo). The CIMPA school was aimed at PhD students and Post Docs in the mathematical sciences. Parts (or all) of this book can be used as the basis for traditional or individual reading courses on the topic. For this reason, examples and exercises (some with solutions) are provided throughout.

Local Dynamics in Complex Networks

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Local Dynamics in Complex Networks by : Emanuele Massaro

Download or read book Local Dynamics in Complex Networks written by Emanuele Massaro and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: