Propagation Dynamics on Complex Networks: Models, Methods and Stability Analysis 1st Edition by Xinchu Fu (PDF)

Description

Explores the emerging subject of epidemic dynamics on complex networks, including theories, methods, and real-world applicationsThroughout 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.

User’s Reviews

Editorial Reviews: From the Inside Flap Explores the emerging subject of epidemic dynamics on complex networks, including theories, methods, and real-world applicationsThroughout 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. From the Back Cover Explores the emerging subject of epidemic dynamics on complex networks, including theories, methods, and real-world applicationsThroughout 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. About the Author Xinchu Fu, Department of Mathematics, Shanghai University, ChinaMichael Small, School of Mathematics and Statistics, The University of Western Australia, AustraliaGuanrong Chen, Department of Electronic Engineering, City University of Hong Kong, China Read more

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