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Dynamical modeling and analysis of epidemics / edited by Zhien Ma, Jia Li.

Contributor(s): Ma, Zhien, 1935- [editor.] | Li, Jia, 1974- [editor.] | World Scientific (Firm)Material type: TextTextPublisher: Singapore ; Hackensack, NJ : World Scientific Publishing Co. Pte. Ltd., [2009]Copyright date: ©2009Description: 1 online resource (xiii, 498 pages) : illustrations (some color)Content type: text Media type: computer Carrier type: online resourceISBN: 9789812797506; 9812797505; 1282441663; 9781282441668; 9786612441660; 6612441666Subject(s): Epidemiology -- Mathematical models | Communicable diseases -- Mathematical models | Mathematical models | MEDICAL -- Health Risk Assessment | MEDICAL -- Epidemiology | Communicable diseases -- Mathematical models | Epidemiology -- Mathematical models | Mathematical models | Epidemiology & Epidemics | Public Health | Health & Biological Sciences | Disciplines and Occupations | Models, Biological | Communicable Diseases | Epidemiology | Public Health | Investigative Techniques | Models, Theoretical | Infections | Environment and Public Health | Medicine | Analytical, Diagnostic and Therapeutic Techniques and Equipment | Bacterial Infections and Mycoses | Health Occupations | Delivery of Health Care | Disease | Communicable Diseases -- epidemiology | Models, Statistical | Disease Outbreaks | Epidemiologic MethodsGenre/Form: Electronic books. | Electronic books. Additional physical formats: Print version:: Dynamical modeling and analysis of epidemics.DDC classification: 614.4015118 LOC classification: RA652.2.M3 | D95 2009ebNLM classification: WA 950Online resources: Click here to access online
Contents:
1. Basic knowledge and modeling on epidemic dynamics. 1.1. Introduction. 1.2. The fundamental forms of epidemic models. 1.3. Basic concepts of epidemiologic dynamics. 1.4. Epidemic models with various factors -- 2. Ordinary differential equations epidemic models. 2.1. Simple SIRS epidemic models with vital dynamics. 2.2. Epidemic models with latent period. 2.3. Epidemic models with immigration or dispersal. 2.4. Epidemic models with multiple groups. 2.5. Epidemic models with different populations. 2.6. Epidemic models with control and prevention. 2.7. Bifurcation. 2.8. Persistence of epidemic models -- 3. Modeling of epidemics with delays and spatial heterogeneity. 3.1. Model formulations. 3.2. Basic techniques for stability of delayed models. 3.3. An SIS epidemic model with vaccination. 3.4. An SIS epidemic model for vector-borne diseases. 3.5. Stability switches and ultimate stability. 3.6. An SEIRS epidemic model with two delays. 3.7. Quiescence of epidemics in a patch model. 3.8. Basic reproductive numbers in ODE models. 3.9. Basic reproductive numbers of models with delays. 3.10. Fisher waves in an epidemic model. 3.11. Propagation of HBV with spatial dependence -- 4. The epidemic models with impulsive effects. 4.1. Basic theory on impulsive differential equations. 4.2. SIR epidemic model with pulse vaccination. 4.3. SIRS epidemic model with pulse vaccination. 4.4. SIS epidemic model with pulse vaccination. 4.5. SEIR epidemic model with pulse vaccination. 4.6. SI epidemic model with birth pulse. 4.7. SIR epidemic model with constant recruitment and birth pulse. 4.8. SIR epidemic models with pulse birth and standard incidence. 4.9. SIR epidemic model with nonlinear birth pulses. 4.10. SI epidemic model with birth pulses -- 5. Structured epidemic models. 5.1. Stage-structured models. 5.2. Age-structured models. 5.3. Infection-age-structured models. 5.4. Discrete models -- 6. Applications of epidemic modeling. 6.1. SARS transmission models. 6.2. HIV transmission models. 6.3. TB transmission models -- Bibliography -- Index.
Summary: "This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples"--Provided by publisher.
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Includes bibliographical references (pages 469-492) and index.

1. Basic knowledge and modeling on epidemic dynamics. 1.1. Introduction. 1.2. The fundamental forms of epidemic models. 1.3. Basic concepts of epidemiologic dynamics. 1.4. Epidemic models with various factors -- 2. Ordinary differential equations epidemic models. 2.1. Simple SIRS epidemic models with vital dynamics. 2.2. Epidemic models with latent period. 2.3. Epidemic models with immigration or dispersal. 2.4. Epidemic models with multiple groups. 2.5. Epidemic models with different populations. 2.6. Epidemic models with control and prevention. 2.7. Bifurcation. 2.8. Persistence of epidemic models -- 3. Modeling of epidemics with delays and spatial heterogeneity. 3.1. Model formulations. 3.2. Basic techniques for stability of delayed models. 3.3. An SIS epidemic model with vaccination. 3.4. An SIS epidemic model for vector-borne diseases. 3.5. Stability switches and ultimate stability. 3.6. An SEIRS epidemic model with two delays. 3.7. Quiescence of epidemics in a patch model. 3.8. Basic reproductive numbers in ODE models. 3.9. Basic reproductive numbers of models with delays. 3.10. Fisher waves in an epidemic model. 3.11. Propagation of HBV with spatial dependence -- 4. The epidemic models with impulsive effects. 4.1. Basic theory on impulsive differential equations. 4.2. SIR epidemic model with pulse vaccination. 4.3. SIRS epidemic model with pulse vaccination. 4.4. SIS epidemic model with pulse vaccination. 4.5. SEIR epidemic model with pulse vaccination. 4.6. SI epidemic model with birth pulse. 4.7. SIR epidemic model with constant recruitment and birth pulse. 4.8. SIR epidemic models with pulse birth and standard incidence. 4.9. SIR epidemic model with nonlinear birth pulses. 4.10. SI epidemic model with birth pulses -- 5. Structured epidemic models. 5.1. Stage-structured models. 5.2. Age-structured models. 5.3. Infection-age-structured models. 5.4. Discrete models -- 6. Applications of epidemic modeling. 6.1. SARS transmission models. 6.2. HIV transmission models. 6.3. TB transmission models -- Bibliography -- Index.

"This timely book covers the basic concepts of the dynamics of epidemic disease, presenting various kinds of models as well as typical research methods and results. It introduces the latest results in the current literature, especially those obtained by highly rated Chinese scholars. A lot of attention is paid to the qualitative analysis of models, the sheer variety of models, and the frontiers of mathematical epidemiology. The process and key steps in epidemiological modeling and prediction are highlighted, using transmission models of HIV/AIDS, SARS, and tuberculosis as application examples"--Provided by publisher.

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