| Description |
1 online resource |
| Series |
Public health in the 21st century series |
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Public health in the 21st century series.
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| 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"" |
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""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"" |
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""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"" |
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""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"" |
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""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"" |
| Bibliography |
Includes bibliographical references and index |
| Notes |
English |
|
Description based on print version record and cip data provided by publisher |
| Subject |
Communicable diseases -- Epidemiology
|
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Mathematical models.
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Communicable Diseases -- epidemiology
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Epidemiologic Research Design
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Models, Theoretical
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mathematical models.
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HEALTH & FITNESS -- Diseases -- Contagious.
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MEDICAL -- Infectious Diseases.
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Mathematical models
|
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Communicable diseases -- Epidemiology
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| Form |
Electronic book
|
| Author |
Tchuenche, Jean Michel
|
|
Chiyaka, Christinah
|
| LC no. |
2019713661 |
| ISBN |
9781614700906 |
|
1614700907 |
|
