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Propagation dynamics on complex networks : models, methods and stability analysis /
"Providing an introduction of general epidemic models, Propagation Dynamics on Complex Networks explores emerging topics of epidemic dynamics on complex networks, including theories, methods, and real-world applications with elementary and wide-coverage. This valuable text for researchers and s...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Chichester, West Sussex :
Wiley,
2014.
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Fu, Xinchu. | |
| 245 | 1 | 0 | |a Propagation dynamics on complex networks : |b models, methods and stability analysis / |c Xinchu Fu, Michael Small, Guanrong Chen. |
| 264 | 1 | |a Chichester, West Sussex : |b Wiley, |c 2014. | |
| 300 | |a 1 online resource (330 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from PDF title page (ebrary, viewed January 15, 2013). | |
| 520 | |a "Providing an introduction of general epidemic models, Propagation Dynamics on Complex Networks explores emerging topics of epidemic dynamics on complex networks, including theories, methods, and real-world applications with elementary and wide-coverage. This valuable text for researchers and students explores models evolving over complex networks and presents results concerning dynamics of Network-based models on a macroscopic scale. The text presents the fundamental knowledge needed to demonstrate how epidemic dynamical networks can be modeled, analyzed, and controlled along the state-of-the-art and recent progress in the field and related issues arising from various epidemic systems"-- |c Provided by publisher | ||
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 2.2.2 Staged progression model on homogenous networks2.2.3 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. | |
| 505 | 8 | |a 2.4.3 Epidemic spreading within and between cities2.5 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. | |
| 505 | 8 | |a 2.10 Models with birth and death of nodes and links2.11 Models on weighted networks; 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. | |
| 505 | 8 | |a 3.1.1 The epidemic rate is B/ni inside the same cities3.1.2 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. | |
| 505 | 0 | 0 | |g Machine generated contents note: |g 1. |t Introduction -- |g 1.1. |t Motivation and background -- |g 1.2. |t brief history of mathematical epidemiology -- |g 1.2.1. |t Compartmental modeling -- |g 1.2.2. |t Epidemic modeling on complex networks -- |g 1.3. |t Organization of the book -- |t References -- |g 2. |t Various epidemic models on complex networks -- |g 2.1. |t Multiple stage models -- |g 2.1.1. |t Multiple susceptible individuals -- |g 2.1.2. |t Multiple infected individuals -- |g 2.1.3. |t Multiple-staged infected individuals -- |g 2.2. |t Staged progression models -- |g 2.2.1. |t Simple-staged progression model -- |g 2.2.2. |t Staged progression model on homogenous, networks -- |g 2.2.3. |t Staged progression model on heterogenous networks -- |g 2.2.4. |t Staged progression model with birth and death -- |g 2.2.5. |t Staged progression model, with birth and death on homogenous networks -- |g 2.2.6. |t Staged progression model with birth and death on heterogenous networks -- |g 2.3. |t Stochastic SIS model -- |g 2.3.1. |t general concept: Epidemic spreading efficiency -- |g 2.4. |t Models with population mobility -- |g 2.4.1. |t Epidemic spreading without mobility of individuals -- |g 2.4.2. |t Spreading of epidemic diseases among different cities -- |g 2.4.3. |t Epidemic spreading within and between cities -- |g 2.5. |t Models in meta-populations -- |g 2.5.1. |t Model formulation -- |g 2.6. |t Models with effective contacts -- |g 2.6.1. |t Epidemics with effectively uniform contact -- |g 2.6.2. |t Epidemics with effective contact in homogenous and heterogenous networks -- |g 2.7. |t Models with two distinct routes -- |g 2.8. |t Models with competing strains -- |g 2.8.1. |t SIS model with competing strains -- |g 2.8.2. |t Remarks and discussions -- |g 2.9. |t Models with competing strains and saturated infectivity -- |g 2.9.1. |t SIS model with mutation mechanism -- |g 2.9.2. |t SIS model with super-infection mechanism -- |g 2.10. |t Models with birth and death of nodes and links -- |g 2.11. |t Models on weighted networks -- |g 2.11.1. |t Model with birth and death and adaptive weights -- |g 2.12. |t Models on directed networks -- |g 2.13. |t Models on colored networks -- |g 2.13.1. |t SIS epidemic models on colored networks -- |g 2.13.2. |t Microscopic Markov-chain analysis -- |g 2.14. |t Discrete epidemic models -- |g 2.14.1. |t Discrete SIS model with nonlinear contagion scheme -- |g 2.14.2. |t Discrete-time epidemic model in heterogenous networks -- |g 2.14.3. |t generalized model -- |t References -- |g 3. |t Epidemic threshold analysis -- |g 3.1. |t Threshold analysis by the direct method -- |g 3.1.1. |t epidemic rate is ?/ni inside the same cities -- |g 3.1.2. |t Epidemics on homogenous networks -- |g 3.1.3. |t Epidemics on heterogenous network's -- |g 3.2. |t Epidemic spreading efficiency threshold and epidemic threshold -- |g 3.2.1. |t case of ?1 [≠] lambda;2 -- |g 3.2.2. |t case of ?1 = ?2 -- |g 3.2.3. |t Epidemic threshold in finite populations -- |g 3.2.4. |t Epidemic thresholdin in finite populations -- |g 3.3. |t Epidemic thresholds and basic reproduction numbers -- |g 3.3.1. |t Threshold from a self-consistency equation -- |g 3.3.2. |t Threshold unobtainable from a self-consistency equation -- |g 3.3.3. |t Threshold analysis for SIS model with mutation -- |g 3.3.4. |t Threshold analysis for SIS model with super-infection -- |g 3.3.5. |t Epidemic thresholds for models on directed networks -- |g 3.3.6. |t Epidemic thresholds on technological and social networks -- |g 3.3.7. |t Epidemic thresholds on directed networks with immunization -- |g 3.3.8. |t Comparisons of epidemic thresholds for directed networks with immunization -- |g 3.3.9. |t Thresholds for colored network models -- |g 3.3.10. |t Thresholds for discrete epidemic models -- |g 3.3.11. |t Basic reproduction number and existence of a positive equilibrium -- |t References -- |g 4. |t Networked models for SARS and avian influenza -- |g 4.1. |t Network models of real diseases -- |g 4.2. |t Plausible models for propagation of the SARS virus -- |g 4.3. |t Clustering model for SARS transmission: Application to epidemic control and risk assessment -- |g 4.4. |t Small-world and scale-free models for SARS transmission -- |g 4.5. |t Super-spreaders and the rate of transmission -- |g 4.6. |t Scale-free distribution of avian influenza outbreaks -- |g 4.7. |t Stratified model of ordinary influenza -- |t References -- |g 5. |t Infectivity functions -- |g 5.1. |t model with nontrivial infectivity function -- |g 5.1.1. |t Epidemic threshold for SIS model with piecewise-linear infectivity -- |g 5.1.2. |t Piecewise smooth and nonlinear infectivity -- |g 5.2. |t Saturated infectivity -- |g 5.3. |t Nonlinear infectivity for SIS model on scale-free networks -- |g 5.3.1. |t epidemic threshold for SIS model on scale-free networks with nonlinear infectivity -- |g 5.3.2. |t Discussions and remarks -- |t References -- |g 6. |t SIS models with an infective medium -- |g 6.1. |t SIS model with an infective medium -- |g 6.1.1. |t Homogenous complex networks -- |g 6.1.2. |t Scale-free networks: The Barabasi-Albert model -- |g 6.1.3. |t Uniform immunization strategy -- |g 6.1.4. |t Optimized immunization strategies -- |g 6.2. |t modified SIS model with an infective medium -- |g 6.2.1. |t modified model -- |g 6.2.2. |t Epidemic threshold for the modified model with an infective medium -- |g 6.3. |t Epidemic models with vectors between two separated networks -- |g 6.3.1. |t Model formulation -- |g 6.3.2. |t Basic reproduction number -- |g 6.3.3. |t Sensitivity analysis -- |g 6.4. |t Epidemic transmission on interdependent networks -- |g 6.4.1. |t Theoretical modeling -- |g 6.4.2. |t Mathematical analysis of epidemic dynamics -- |g 6.4.3. |t Numerical analysis: Effect of model parameters on the basic reproduction number -- |g 6.4.4. |t Numerical analysis: Effect of model parameters on infected node densities -- |g 6.5. |t Discussions and remarks -- |t References -- |g 7. |t Epidemic control and awareness -- |g 7.1. |t SIS model with awareness -- |g 7.1.1. |t Background -- |g 7.1.2. |t model -- |g 7.1.3. |t Epidemic threshold -- |g 7.1.4. |t Conclusions and discussions -- |g 7.2. |t Discrete-time SIS model with awareness -- |g 7.2.1. |t SIS model with awareness interactions -- |g 7.2.2. |t Theoretical analysis: Basic reproduction number -- |g 7.2.3. |t Remarks and discussions -- |g 7.3. |t Spreading dynamics of a disease-awareness SIS model on complex networks -- |g 7.3.1. |t Model formulation -- |g 7.3.2. |t Derivation of limiting systems -- |g 7.3.3. |t Basic reproduction number and local stability -- |g 7.4. |t Remarks and discussions -- |t References -- |g 8. |t Adaptive mechanism between dynamics and epidemics -- |g 8.1. |t Adaptive mechanism between dynamical synchronization and epidemic behavior on complex networks -- |g 8.1.1. |t Models of complex dynamical network and epidemic network -- |g 8.1.2. |t Models of epidemic synchrohization and its analysis -- |g 8.1.3. |t Local stability of epidemic synchronization -- |g 8.1.4. |t Global stability of epidemic synchronization -- |g 8.2. |t Interplay between collective behavior and spreading dynamics -- |g 8.2.1. |t general bidirectional model -- |g 8.2.2. |t Global synchronization and spreading dynamics -- |g 8.2.3. |t Stability of global synchronization and spreading dynamics -- |g 8.2.4. |t Phase synchronization and spreading dynamics -- |g 8.2.5. |t Control of spreading networks -- |g 8.2.6. |t Discussions and remarks -- |t References -- |g 9. |t Epidemic control and immunization -- |g 9.1. |t SIS model with immunization -- |g 9.1.1. |t Proportional immunization -- |g 9.1.2. |t Targeted immunization -- |g 9.1.3. |t Acquaintance immunization -- |g 9.1.4. |t Active immunization -- |g 9.2. |t Edge targeted strategy for controlling epidemic spreading on scale-free networks -- |g 9.3. |t Remarks and discussions -- |t References -- |g 10. |t Global stability analysis -- |g 10.1. |t Global stability analysis of the modified model with an infective medium -- |g 10.2. |t Global dynamics of the model with vectors between two separated networks -- |g 10.2.1. |t Global stability of the disease-free equilibrium and existence of the endemic equilibrium -- |g 10.2.2. |t Uniqueness and global attractivity of the endemic equilibrium -- |g 10.3. |t Global behavior of disease transmission on interdependent networks -- |g 10.3.1. |t Existence and global stability of the endemic equilibrium for a disease-awareness SIS model -- |g 10.4. |t Global behavior of epidemic transmissions -- |g 10.4.1. |t Stability of the model equilibria -- |g 10.4.2. |t Stability analysis for discrete epidemic models -- |g 10.4.3. |t Global stability of the disease-free equilibrium -- |g 10.4.4. |t Global attractiveness of epidemic disease -- |g 10.5. |t Global attractivity of a network-based epidemic SIS model -- |g 10.5.1. |t Positiveness, boundedness and equilibria -- |g 10.5.2. |t Global attractivity of the model -- |g 10.5.3. |t Remarks and discussions -- |g 10.6. |t Global stability |
| 546 | |a English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Epidemiology |x Mathematical models. | |
| 650 | 0 | |a Epidemiology |x Methodology. | |
| 650 | 0 | |a Biomathematics. | |
| 650 | 0 | |a Mathematical models. | |
| 650 | 2 | |a Epidemiologic Methods | |
| 650 | 2 | |a Models, Theoretical | |
| 650 | 6 | |a Épidémiologie |x Modèles mathématiques. | |
| 650 | 6 | |a Épidémiologie |x Méthodologie. | |
| 650 | 6 | |a Biomathématiques. | |
| 650 | 6 | |a Modèles mathématiques. | |
| 650 | 7 | |a mathematical models. |2 aat | |
| 650 | 7 | |a MEDICAL |x Forensic Medicine. |2 bisacsh | |
| 650 | 7 | |a MEDICAL |x Preventive Medicine. |2 bisacsh | |
| 650 | 7 | |a MEDICAL |x Public Health. |2 bisacsh | |
| 650 | 7 | |a Mathematical models |2 fast | |
| 650 | 7 | |a Biomathematics |2 fast | |
| 650 | 7 | |a Epidemiology |x Mathematical models |2 fast | |
| 650 | 7 | |a Epidemiology |x Methodology |2 fast | |
| 653 | |a Australian | ||
| 655 | 0 | |a Electronic books. | |
| 700 | 1 | |a Small, Michael |c (Professor) | |
| 700 | 1 | |a Chen, G. |q (Guanrong) |1 https://id.oclc.org/worldcat/entity/E39PBJtGTX3cC6fqJbBvTDp3wC | |
| 758 | |i has work: |a Propagation dynamics on complex networks (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFvQx7KpD7XmBCrj43PYT3 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
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