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020 9781118762806|q(electronic bk.)
020 |z9781118534502
035 (MiAaPQ)EBC1583675
035 (Au-PeEL)EBL1583675
035 (CaPaEBR)ebr10822341
035 (CaONFJC)MIL556719
035 (OCoLC)866840236
040 MiAaPQ|beng|erda|epn|cMiAaPQ|dMiAaPQ
050 4 RA652.2.M3.F8 2014eb
082 0 614.4015118
100 1 Fu, Xinchu
245 10 Propagation Dynamics on Complex Networks :|bModels,
Methods and Stability Analysis
250 1st ed
264 1 New York :|bJohn Wiley & Sons, Incorporated,|c2014
264 4 |c©2013
300 1 online resource (330 pages)
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
505 0 Cover -- Title Page -- Copyright -- Contents -- Preface --
Summary -- Chapter 1 Introduction -- 1.1 Motivation and
background -- 1.2 A brief history of mathematical
epidemiology -- 1.2.1 Compartmental modeling -- 1.2.2
Epidemic modeling on complex networks -- 1.3 Organization
of the book -- References -- Chapter 2 Various epidemic
models on complex networks -- 2.1 Multiple stage models --
2.1.1 Multiple susceptible individuals -- 2.1.2 Multiple
infected individuals -- 2.1.3 Multiple-staged infected
individuals -- 2.2 Staged progression models -- 2.2.1
Simple-staged progression model -- 2.2.2 Staged
progression model on homogenous networks -- 2.2.3 Staged
progression model on heterogenous networks -- 2.2.4 Staged
progression model with birth and death -- 2.2.5 Staged
progression model with birth and death on homogenous
networks -- 2.2.6 Staged progression model with birth and
death on heterogenous networks -- 2.3 Stochastic SIS model
-- 2.3.1 A general concept: Epidemic spreading efficiency
-- 2.4 Models with population mobility -- 2.4.1 Epidemic
spreading without mobility of individuals -- 2.4.2
Spreading of epidemic diseases among different cities --
2.4.3 Epidemic spreading within and between cities -- 2.5
Models in meta-populations -- 2.5.1 Model formulation --
2.6 Models with effective contacts -- 2.6.1 Epidemics with
effectively uniform contact -- 2.6.2 Epidemics with
effective contact in homogenous and heterogenous networks
-- 2.7 Models with two distinct routes -- 2.8 Models with
competing strains -- 2.8.1 SIS model with competing
strains -- 2.8.2 Remarks and discussions -- 2.9 Models
with competing strains and saturated infectivity -- 2.9.1
SIS model with mutation mechanism -- 2.9.2 SIS model with
super-infection mechanism -- 2.10 Models with birth and
death of nodes and links -- 2.11 Models on weighted
networks
505 8 2.11.1 Model with birth and death and adaptive weights --
2.12 Models on directed networks -- 2.13 Models on colored
networks -- 2.13.1 SIS epidemic models on colored networks
-- 2.13.2 Microscopic Markov-chain analysis -- 2.14
Discrete epidemic models -- 2.14.1 Discrete SIS model with
nonlinear contagion scheme -- 2.14.2 Discrete-time
epidemic model in heterogenous networks -- 2.14.3 A
generalized model -- References -- Chapter 3 Epidemic
threshold analysis -- 3.1 Threshold analysis by the direct
method -- 3.1.1 The epidemic rate is B/ni inside the same
cities -- 3.1.2 Epidemics on homogenous networks -- 3.1.3
Epidemics on heterogenous networks -- 3.2 Epidemic
spreading efficiency threshold and epidemic threshold --
3.2.1 The case of 1 ≠ 2 -- 3.2.2 The case of 1 = 2 --
3.2.3 Epidemic threshold in finite populations -- 3.2.4
Epidemic threshold in infinite populations -- 3.3 Epidemic
thresholds and basic reproduction numbers -- 3.3.1
Threshold from a self-consistency equation -- 3.3.2
Threshold unobtainable from a self-consistency equation --
3.3.3 Threshold analysis for SIS model with mutation --
3.3.4 Threshold analysis for SIS model with super-
infection -- 3.3.5 Epidemic thresholds for models on
directed networks -- 3.3.6 Epidemic thresholds on
technological and social networks -- 3.3.7 Epidemic
thresholds on directed networks with immunization -- 3.3.8
Comparisons of epidemic thresholds for directed networks
with immunization -- 3.3.9 Thresholds for colored network
models -- 3.3.10 Thresholds for discrete epidemic models -
- 3.3.11 Basic reproduction number and existence of a
positive equilibrium -- References -- Chapter 4 Networked
models for SARS and avian influenza -- 4.1 Network models
of real diseases -- 4.2 Plausible models for propagation
of the SARS virus
505 8 4.3 Clustering model for SARS transmission: Application to
epidemic control and risk assessment -- 4.4 Small-world
and scale-free models for SARS transmission -- 4.5 Super-
spreaders and the rate of transmission -- 4.6 Scale-free
distribution of avian influenza outbreaks -- 4.7
Stratified model of ordinary influenza -- References --
Chapter 5 Infectivity functions -- 5.1 A model with
nontrivial infectivity function -- 5.1.1 Epidemic
threshold for SIS model with piecewise-linear infectivity
-- 5.1.2 Piecewise smooth and nonlinear infectivity -- 5.2
Saturated infectivity -- 5.3 Nonlinear infectivity for SIS
model on scale-free networks -- 5.3.1 The epidemic
threshold for SIS model on scale-free networks with
nonlinear infectivity -- 5.3.2 Discussions and remarks --
References -- Chapter 6 SIS models with an infective
medium -- 6.1 SIS model with an infective medium -- 6.1.1
Homogenous complex networks -- 6.1.2 Scale-free networks:
The Barabási-Albert model -- 6.1.3 Uniform immunization
strategy -- 6.1.4 Optimized immunization strategies -- 6.2
A modified SIS model with an infective medium -- 6.2.1 The
modified model -- 6.2.2 Epidemic threshold for the
modified model with an infective medium -- 6.3 Epidemic
models with vectors between two separated networks --
6.3.1 Model formulation -- 6.3.2 Basic reproduction number
-- 6.3.3 Sensitivity analysis -- 6.4 Epidemic transmission
on interdependent networks -- 6.4.1 Theoretical modeling -
- 6.4.2 Mathematical analysis of epidemic dynamics --
6.4.3 Numerical analysis: Effect of model parameters on
the basic reproduction number -- 6.4.4 Numerical analysis:
Effect of model parameters on infected node densities --
6.5 Discussions and remarks -- References -- Chapter 7
Epidemic control and awareness -- 7.1 SIS model with
awareness -- 7.1.1 Background -- 7.1.2 The model -- 7.1.3
Epidemic threshold
505 8 7.1.4 Conclusions and discussions -- 7.2 Discrete-time SIS
model with awareness -- 7.2.1 SIS model with awareness
interactions -- 7.2.2 Theoretical analysis: Basic
reproduction number -- 7.2.3 Remarks and discussions --
7.3 Spreading dynamics of a disease-awareness SIS model on
complex networks -- 7.3.1 Model formulation -- 7.3.2
Derivation of limiting systems -- 7.3.3 Basic reproduction
number and local stability -- 7.4 Remarks and discussions
-- References -- Chapter 8 Adaptive mechanism between
dynamics and epidemics -- 8.1 Adaptive mechanism between
dynamical synchronization and epidemic behavior on complex
networks -- 8.1.1 Models of complex dynamical network and
epidemic network -- 8.1.2 Models of epidemic
synchronization and its analysis -- 8.1.3 Local stability
of epidemic synchronization -- 8.1.4 Global stability of
epidemic synchronization -- 8.2 Interplay between
collective behavior and spreading dynamics -- 8.2.1 A
general bidirectional model -- 8.2.2 Global
synchronization and spreading dynamics -- 8.2.3 Stability
of global synchronization and spreading dynamics -- 8.2.4
Phase synchronization and spreading dynamics -- 8.2.5
Control of spreading networks -- 8.2.6 Discussions and
remarks -- References -- Chapter 9 Epidemic control and
immunization -- 9.1 SIS model with immunization -- 9.1.1
Proportional immunization -- 9.1.2 Targeted immunization -
- 9.1.3 Acquaintance immunization -- 9.1.4 Active
immunization -- 9.2 Edge targeted strategy for controlling
epidemic spreading on scale-free networks -- 9.3 Remarks
and discussions -- References -- Chapter 10 Global
stability analysis -- 10.1 Global stability analysis of
the modified model with an infective medium -- 10.2 Global
dynamics of the model with vectors between two separated
networks -- 10.2.1 Global stability of the disease-free
equilibrium and existence of the endemic equilibrium
505 8 10.2.2 Uniqueness and global attractivity of the endemic
equilibrium -- 10.3 Global behavior of disease
transmission on interdependent networks -- 10.3.1
Existence and global stability of the endemic equilibrium
for a disease-awareness SIS model -- 10.4 Global behavior
of epidemic transmissions -- 10.4.1 Stability of the model
equilibria -- 10.4.2 Stability analysis for discrete
epidemic models -- 10.4.3 Global stability of the disease-
free equilibrium -- 10.4.4 Global attractiveness of
epidemic disease -- 10.5 Global attractivity of a network-
based epidemic SIS model -- 10.5.1 Positiveness,
boundedness and equilibria -- 10.5.2 Global attractivity
of the model -- 10.5.3 Remarks and discussions -- 10.6
Global stability of an epidemic model with birth and death
and adaptive weights -- 10.6.1 Global dynamics of the
model -- 10.6.2 Discussions and remarks -- 10.7 Global
dynamics of a generalized epidemic model -- 10.7.1 Model
formulation -- 10.7.2 Global dynamics of the model --
10.7.3 Discussions and remarks -- References -- Chapter 11
Information diffusion and pathogen propagation -- 11.1
Information diffusion and propagation on complex networks
-- 11.1.1 Information diffusion on complex networks --
11.1.2 Some essential differences between information
propagation and epidemic spreading -- 11.2 Interplay
between information of disease spreading and epidemic
dynamics -- 11.2.1 Preliminaries -- 11.2.2 Theoretical
analysis of the model -- 11.3 Discussions and remarks --
References -- Appendix A Proofs of theorems -- A.1
Transition from discrete-time linear system to continuous-
time linear system -- A.2 Proof of Lemma 6.1 -- A.3 Proof
of Theorem 10.4 -- A.4 Proof of Theorem 10.3 -- A.5 Proof
of Theorem 10.42 -- Appendix B Further proofs of results -
- B.1 Eigenvalues of the matrix F in (6.27) -- B.2 The
matrix T in (6.32) -- B.3 Proof of (7.6) in Chapter 7
505 8 B.4 The positiveness of ð': proof of ð' > 0 in Sec 9.1.2
520 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
588 Description based on publisher supplied metadata and other
sources
590 Electronic reproduction. Ann Arbor, Michigan : ProQuest
Ebook Central, 2020. Available via World Wide Web. Access
may be limited to ProQuest Ebook Central affiliated
libraries
650 0 Epidemiology -- Mathematical models.;Epidemiology --
Methodology.;Biomathematics
655 4 Electronic books
700 1 Small, Michael
700 1 Chen, Guanrong
776 08 |iPrint version:|aFu, Xinchu|tPropagation Dynamics on
Complex Networks : Models, Methods and Stability Analysis
|dNew York : John Wiley & Sons, Incorporated,c2014
|z9781118534502
856 40 |uhttps://ebookcentral.proquest.com/lib/sinciatw/
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