LEADER 04852nam 2200625Ia 450 001 9910457720503321 005 20200520144314.0 010 $a1-61470-090-7 035 $a(CKB)2550000000060060 035 $a(EBL)3018133 035 $a(SSID)ssj0000569267 035 $a(PQKBManifestationID)11390964 035 $a(PQKBTitleCode)TC0000569267 035 $a(PQKBWorkID)10541119 035 $a(PQKB)10898820 035 $a(MiAaPQ)EBC3018133 035 $a(Au-PeEL)EBL3018133 035 $a(CaPaEBR)ebr10659055 035 $a(OCoLC)923657271 035 $a(EXLCZ)992550000000060060 100 $a20090420d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aInfectious disease modelling research progress$b[electronic resource] /$fJean Michel Tchuenche and Christinah Chiyaka, editors 210 $aNew York $cNova Science Publishers$dc2009 215 $a1 online resource (284 p.) 225 1 $aPublic health in the 21st century series 300 $aDescription based upon print version of record. 311 $a1-60741-347-7 320 $aIncludes bibliographical references and index. 327 $a""INFECTIOUS DISEASE MODELLINGRESEARCH PROGRESS""; ""INFECTIOUS DISEASE MODELLINGRESEARCH PROGRESS""; ""CONTENTS""; ""PREFACE""; ""EPIDEMIOLOGY OF CORRUPTION AND DISEASETRANSMISSION AS A SATURABLE INTERACTION:THE SIS CASEa???""; ""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"" 327 $a""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"" 327 $a""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 (E?? = 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"" 327 $a""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 E?? > 0""; ""2.17. Equilibria when E?? = 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"" 327 $a""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 E?? = 0""; ""(2) Endemic Equilibrium when E?? > 0 and = 0""; ""References"" 327 $a""A THEORETICAL ASSESSMENT OF THE EFFECTSOF CHEMOPROPHYLAXIS, TREATMENT AND DRUGRESISTANCE IN TB INDIVIDUALS CO-INFECTEDWITH HIV/AIDS"" 410 0$aPublic health in the 21st century series. 606 $aCommunicable diseases$xEpidemiology 606 $aCommunicable diseases$xResearch 608 $aElectronic books. 615 0$aCommunicable diseases$xEpidemiology. 615 0$aCommunicable diseases$xResearch. 676 $a362.196/9 701 $aTchuenche$b Jean Michel$0954706 701 $aChiyaka$b Christinah$0956869 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457720503321 996 $aInfectious disease modelling research progress$92167226 997 $aUNINA