Infectious disease modelling research progress / Jean Michel Tchuenche and Christinah Chiyaka, editors.

Format:

Book

Contributor:

Tchuenche, Jean Michel.

Chiyaka, Christinah.

Series:

Public health in the 21st century series.

Public health in the 21st century series

Language:

English

Subjects (All):

Communicable diseases--Epidemiology.

Communicable diseases.

Communicable diseases--Research.

Physical Description:

1 online resource (284 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science Publishers, c2009.

Language Note:

English

Summary:

This text concentrates on the epidemiology of corruption and disease transmission as a saturable interaction as well as case studies of infectious diseases of global public health concern, namely drug resistant TB, influenza and malaria.

Contents:

""INFECTIOUS DISEASE MODELLINGRESEARCH PROGRESS""; ""INFECTIOUS DISEASE MODELLINGRESEARCH PROGRESS""; ""CONTENTS""; ""PREFACE""; ""EPIDEMIOLOGY OF CORRUPTION AND DISEASETRANSMISSION AS A SATURABLE INTERACTION:THE SIS CASEâ??""; ""Abstract""; ""1. Epidemiology of Corruption""; ""1.1. Introduction""; ""1.2. Model Equations""; ""1.3. Model Analysis""; ""1.4. Stabilizing the Corruption-Free Steady State through Control""; ""1.5. Discussion""; ""2. Disease Transmission as a Saturable Interaction: The SISCase""; ""2.1. Introduction""; ""2.2. Formulation of Model Equations""

""2.3. Age-independent Infectivity and Existence of Steady States""""2.4. Stability of Equilibria""; ""2.5. Age-dependent Infectivity and Existence of Steady States""; ""2.6. Stability of Steady States""; ""2.7. Discussion""; ""2.8. Summary of Results""; ""2.8.1. Age-independent Infectivity""; ""2.8.2. Age-dependent Infectivity""; ""Acknowledgments""; ""References""; ""A MATHEMATICAL ANALYSIS OF INFLUENZAWITH TREATMENT AND VACCINATION""; ""Abstract""; ""1. Introduction""; ""1.1. Motivation and Objectives""; ""1.2. Methodology""; ""1.3. Brief Review of Previous Studies""

""2. Model Framework and Analysis""""2.1. Model Framework""; ""2.2. Descriptions of Variables and Parameters""; ""2.3. The Model""; ""2.4. Model Analysis""; ""2.5. Positivity of Solutions""; ""2.6. The Model in the Absence of Inflow of Infectives (Ë? = 0)""; ""2.7. Non-existence of the Trivial Equilibrium""; ""2.8. Disease-Free Equilibrium (E0)""; ""2.9. Computation of the Reproduction Numbers R0,RV ,RT and RV T""; ""2.10. Local Stability of the Disease-Free Equilibrium E0""; ""2.11. Global Stability of the Disease-Free Equilibrium E0""

""2.12. Effects of Public Health Measures (Treatment and Vaccination)""""2.13. The Role of RV T on Disease Eradication""; ""2.14. Endemic Equilibrium and Its Stability""; ""2.15. Stability Analysis when RV T > 1""; ""2.16. Endemic Equilibria when Ë? > 0""; ""2.17. Equilibria when Ë? = 0""; ""2.18. Existence of Backward Bifurcation""; ""2.19. Local Stability of the Endemic Equilibrium E1""; ""2.20. Global Stability of the EE E1 when RV T > 1""; ""2.21. The Model with Mass-Action Incidence""; ""2.22. Persistence of Solutions of the Model with Mass-Action Incidence""

""2.23. Treatment-Only Submodel (with Mass-Action Incidence)""""2.24. Existence of Backward Bifurcation in the Treatment-Only Model""; ""3. Sensitivity Analysis and Numerical Simulations""; ""3.1. Sensitivity Analysis""; ""3.2. Sensitivity Indices of RV T""; ""3.3. Numerical Simulations""; ""4. Discussion and Conclusion""; ""4.1. Discussion""; ""4.2. Conclusion""; ""Appendix A""; ""Appendix B""; ""Appendix C""; ""Appendix D""; ""(1) Endemic Equilibria when Ë? = 0""; ""(2) Endemic Equilibrium when Ë? > 0 and = 0""; ""References""

""A THEORETICAL ASSESSMENT OF THE EFFECTSOF CHEMOPROPHYLAXIS, TREATMENT AND DRUGRESISTANCE IN TB INDIVIDUALS CO-INFECTEDWITH HIV/AIDS""

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on print version record and cip data provided by publisher.

ISBN:

1-61470-090-7

OCLC:

923657271