Xinchu Fu & Michael Small 
Propagation Dynamics on Complex Networks [PDF ebook] 
Models, Methods and Stability Analysis

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.

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