Modeling and Dynamics of Infectious Diseases Series in Contemporary Applied Mathematics 1st Edition by Zhien Ma, Yicang Zhou, Jianhong Wu – Ebook PDF Instant Download/Delivery: 9789814261258, 9814261254
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Product details:
ISBN 10: 9814261254
ISBN 13: 9789814261258
Author: Zhien Ma, Yicang Zhou, Jianhong Wu
Table of contents:
I. Zhien Ma: Some Recent Results on Epidemic Dynamics Obtained by Our Group
Abstract
1 Basic knowledge on epidemic dynamics
2 Epidemic models with vaccination
3 Epidemic models with quarantine strategy
4 Epidemic models with complicated structures
5 Epidemic models with natural age and infection age structures
6 Epidemic models with time dependent coefficients
7 Epidemic models combining with population ecology
8 Epidemic models combining with ecotoxicology
9 The phenomenon of stability switches on some epidemic models with time delay
10 Study on HIV / AIDS
11 Modeling and study for SARS transmission and control in China
References
II. Fred Brauer, Jianhong Wu: Modeling SARS, West Nile Virus, Pandemic Influenza and Other Emerging Infections
Abstract
1 Introduction
2 Progresses on specific diseases: scientific contributions
3 Other progress and networking activities
4 Summer school/intensive course & CDM
5 Final remarks
Acknowledgement
References
III. Julien Arino: Diseases in Metapopulations
Abstract
1 Foreword — Notations
2 Metapopulations
3 Methodological aspects
4 Diseases in metapopulations — A review
5 Conclusion
References
IV. Fred Brauer: Modeling the Start of a Disease Outbreak
1 Introduction
2 The network corresponding to a disease outbreak
3 Transmissibility
4 Some examples of contact networks
5 Conclusions
References
V. Troy Day: Mathematical Techniques in the Evolutionary Epidemiology of Infectious Diseases
Abstract
1 Introduction
2 Mathematical models of pathogen evolution
3 Discussion
Appendix
References
VI. Zhilan Feng, Dashun Xu, Haiyun Zhao: The Uses of Epidemiological Models in the Study of Disease Control
Abstract
1 Introduction
2 Models with quarantine and isolation
3 Reproductive numbers of the general model
4 Comparison of models with different sojourn distributions
5 Conclusion
References
VII. John W. Glasser, Maureen Birmingham: Assessing the Burden of Congenital Rubella Syndrome and Ensuring Control
1 The diseases
2 Risk of infection
3 Assessing the burden
4 Mitigation strategies
5 Evaluating the options
6 Monitoring the impact
7 Summary
Acknowledgments
VIII. Thanate Dhirasakdanon, Horst R. Thieme: Persistence of Vertically Transmitted Parasite Strains
1 Introduction
2 A model with horizontal and vertical transmission
3 The persistence equilibrium
4 The multiple strain model
5 The two strain model with one strain only vertically transmitted
6 Global stability for constant contact function and per capita birth rate
7 Uniform strong coexistence
Appendix: Elements of persistence theory
Acknowledgement
IX. Ying-Hen Hsieh: Richards Model: A Simple Procedure for Real-time Prediction of Outbreak Severity
1 Introduction
2 Logistic and Richards models
3 Single wave outbreak
4 Outbreaks with multiple waves
5 Conclusions and remarks
X. James Watmough: The Basic Reproduction Number and the Final Size of an Epidemic
1 Introduction
2 A general disease transmission model
3 The basic reproduction number
4 The final size of a simple epidemic
5 A final size inequality for a general model
6 Examples
7 Further Reading
References
XI. K.P. Hadeler: Epidemic Models with Reservoirs
1 Introduction
2 SIR model in a given population
3 Singular perturbation
4 SIR model with demographic renewal
5 Homogeneous demographic model
6 Special homogeneous system
7 Case fatality
Acknowledgement
XII. Hongbin Guo, Michael Y. Li, Zhisheng Shuai: Global Stability in Multigroup Epidemic Models
1 Introduction
2 Preliminaries
3 Proof of Theorem 1.1
Acknowledgments
XIII. Wendi Wang: Epidemic Models with Time Delays
1 Introduction
2 Mathematical modeling
3 Analysis of local stability
4 Liapunov direct methods
5 Conditions of disease persistence
6 Summary
XIV. Shenghai Zhang: A Simulation Approach to Analysis of Antiviral Stockpile Sizes for Influenza Pandemic
1 Introduction
2 Methods
3 Model
4 Results
5 Conclusion and discussion
XV. Peter Buck, Rongsong Liu, Jiangping Shuai, Jianhong Wu, Huaiping Zhu: Modeling and Simulation Studies
1 Introduction
2 The model formulation
3 Surveillance data and numerical simulations
4 Discussions
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Tags: Zhien Ma, Yicang Zhou, Jianhong Wu, Modeling