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Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on modeling the dynamics of human diseases : emerging paradigms and challenges, July 17-21, 2005, Snowbird, Utah / / Abba B. Gumel, editor-in-chief ; Carlos Castillo-Chavez, Ronald E. Mickens, Dominic P. Clemence, editors
| Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on modeling the dynamics of human diseases : emerging paradigms and challenges, July 17-21, 2005, Snowbird, Utah / / Abba B. Gumel, editor-in-chief ; Carlos Castillo-Chavez, Ronald E. Mickens, Dominic P. Clemence, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (406 p.) |
| Disciplina | 614.401/5118 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Epidemiology - Mathematical models
Diseases - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
0-8218-8073-X
0-8218-3775-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Prologue""; ""List of Participants""; ""The impact of environmental variation on hantavirus infection in rodents""; ""Preventive treatment of tuberculosis through contact tracing""; ""Optimal vaccination strategies for an influenza-like illness in a heterogeneous population""; ""Mathematical applications associated with the deliberate release of infectious agents""; ""Critical response to post-outbreak vaccination against foot-and-mouth disease""; ""Some promising approaches to tumor-immune modeling""
""Impact of prophylactic vaccination against human papillomavirus infection""""Population dynamics of developmental deficits due to an environmental neurotoxicant""; ""Optimal therapy regimens for treatment-resistant mutations of HIV""; ""Cancer modeling: A perspective on what's new and what's next""; ""Understanding a killer: A predictive model for tumor development""; ""Optimal control methods applied to disease models""; ""Infection dynamics on small-world networks""; ""Moving beyond averages: Individual-level variation in disease transmission"" ""Models for the spread of HIV /AIDS: Trends in Southern Africa""""Epidemic spread in populations at demographic equilibrium""; ""Models for Dengue transmission and control""; ""Seasonality of rotavirus infection with its vaccination""; ""Current research issues in mosquito-borne diseases modeling""; ""The role of transactional sex in spreading HIV in Nigeria"" |
| Record Nr. | UNINA-9910480268803321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on modeling the dynamics of human diseases : emerging paradigms and challenges, July 17-21, 2005, Snowbird, Utah / / Abba B. Gumel, editor-in-chief ; Carlos Castillo-Chavez, Ronald E. Mickens, Dominic P. Clemence, editors
| Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on modeling the dynamics of human diseases : emerging paradigms and challenges, July 17-21, 2005, Snowbird, Utah / / Abba B. Gumel, editor-in-chief ; Carlos Castillo-Chavez, Ronald E. Mickens, Dominic P. Clemence, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (406 p.) |
| Disciplina | 614.401/5118 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Epidemiology - Mathematical models
Diseases - Mathematical models |
| ISBN |
0-8218-8073-X
0-8218-3775-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Prologue""; ""List of Participants""; ""The impact of environmental variation on hantavirus infection in rodents""; ""Preventive treatment of tuberculosis through contact tracing""; ""Optimal vaccination strategies for an influenza-like illness in a heterogeneous population""; ""Mathematical applications associated with the deliberate release of infectious agents""; ""Critical response to post-outbreak vaccination against foot-and-mouth disease""; ""Some promising approaches to tumor-immune modeling""
""Impact of prophylactic vaccination against human papillomavirus infection""""Population dynamics of developmental deficits due to an environmental neurotoxicant""; ""Optimal therapy regimens for treatment-resistant mutations of HIV""; ""Cancer modeling: A perspective on what's new and what's next""; ""Understanding a killer: A predictive model for tumor development""; ""Optimal control methods applied to disease models""; ""Infection dynamics on small-world networks""; ""Moving beyond averages: Individual-level variation in disease transmission"" ""Models for the spread of HIV /AIDS: Trends in Southern Africa""""Epidemic spread in populations at demographic equilibrium""; ""Models for Dengue transmission and control""; ""Seasonality of rotavirus infection with its vaccination""; ""Current research issues in mosquito-borne diseases modeling""; ""The role of transactional sex in spreading HIV in Nigeria"" |
| Record Nr. | UNINA-9910788790003321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on modeling the dynamics of human diseases : emerging paradigms and challenges, July 17-21, 2005, Snowbird, Utah / / Abba B. Gumel, editor-in-chief ; Carlos Castillo-Chavez, Ronald E. Mickens, Dominic P. Clemence, editors
| Mathematical studies on human disease dynamics : emerging paradigms and challenges : AMS-IMS-SIAM Joint Summer Research Conference on modeling the dynamics of human diseases : emerging paradigms and challenges, July 17-21, 2005, Snowbird, Utah / / Abba B. Gumel, editor-in-chief ; Carlos Castillo-Chavez, Ronald E. Mickens, Dominic P. Clemence, editors |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2006] |
| Descrizione fisica | 1 online resource (406 p.) |
| Disciplina | 614.401/5118 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Epidemiology - Mathematical models
Diseases - Mathematical models |
| ISBN |
0-8218-8073-X
0-8218-3775-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Preface""; ""Prologue""; ""List of Participants""; ""The impact of environmental variation on hantavirus infection in rodents""; ""Preventive treatment of tuberculosis through contact tracing""; ""Optimal vaccination strategies for an influenza-like illness in a heterogeneous population""; ""Mathematical applications associated with the deliberate release of infectious agents""; ""Critical response to post-outbreak vaccination against foot-and-mouth disease""; ""Some promising approaches to tumor-immune modeling""
""Impact of prophylactic vaccination against human papillomavirus infection""""Population dynamics of developmental deficits due to an environmental neurotoxicant""; ""Optimal therapy regimens for treatment-resistant mutations of HIV""; ""Cancer modeling: A perspective on what's new and what's next""; ""Understanding a killer: A predictive model for tumor development""; ""Optimal control methods applied to disease models""; ""Infection dynamics on small-world networks""; ""Moving beyond averages: Individual-level variation in disease transmission"" ""Models for the spread of HIV /AIDS: Trends in Southern Africa""""Epidemic spread in populations at demographic equilibrium""; ""Models for Dengue transmission and control""; ""Seasonality of rotavirus infection with its vaccination""; ""Current research issues in mosquito-borne diseases modeling""; ""The role of transactional sex in spreading HIV in Nigeria"" |
| Record Nr. | UNINA-9910822591403321 |
| Providence, Rhode Island : , : American Mathematical Society, , [2006] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens's 70th birthday Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9-10, 2013, San Diego, CA / / Abba B. Gumel, editor
| Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens's 70th birthday Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9-10, 2013, San Diego, CA / / Abba B. Gumel, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 515.392 |
| Collana | Contemporary Mathematics |
| Soggetto topico |
Nonlinear oscillations
Differential equations - Asymptotic theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1686-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Preface""; ""Biographical Summary of Ronald E. Mickens""; ""Deterministic and Stochastic SIR Epidemic Models with Power Function Transmission and Recovery Rates""; ""1. Introduction""; ""2. ODE Model""; ""3. CTMC Model""; ""4. SDE Model""; ""5. Computational Results""; ""6. Summary""; ""Acknowledgments""; ""References""; ""Evaluating the Cost-Effectiveness of Vaccination Programs""; ""1. Introduction""; ""2. Background and modeling framework""; ""3. Model extensions and future research""; ""4. Summary and concluding remarks""; ""References""
""A Simple Two-Patch Epidemiological Model with Allee Effects and Disease-Modified Fitness""""1. Introduction""; ""2. A two-patch SI model""; ""3. Endemic states""; ""4. The effects of dispersal""; ""5. Discussion""; ""6. Proofs""; ""Acknowledgements""; ""References""; ""Designing NSFD Methods for Models of Population Interactions""; ""1. Introduction""; ""2. Definitions and Preliminaries""; ""3. PESN methods for systems with hyperbolic equilibria""; ""4. PAESN methods for systems with non-hyperbolic equilibria""; ""5. Numerical Simulations""; ""6. Discussion and Conclusions"" ""References""""Nonstandard Discretizations of the SIS Epidemiological Model with and without Diffusion""; ""1. Introduction""; ""2. Qualitative properties of the model""; ""3. Nonstandard Runge-Kutta Method for the SIS Model""; ""4. NSFD scheme for the SIS model""; ""5. NSFD schemes for SIS-Diffusion Model""; ""6. Conclusion""; ""Acknowledgements""; ""References""; ""Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model""; ""1. Introduction""; ""2. Galerkin-Least Squares Approximation""; ""3. DDE Model for Circadian Rhythm"" ""4. Equilibria and Linear Stability Analysis""""5. Numerical Simulations""; ""Conclusions""; ""Acknowledgements""; ""References""; ""Exact Finite Difference Schemes""; ""1. Introduction""; ""2. Exact Finite Difference Schemes for ODEs""; ""3. First-order linear system of two equations""; ""4. Exact finite difference schemes for some PDEs""; ""5. Discussion""; ""Acknowledgements""; ""References""; ""Design and Analysis of NSFD Methods for the Diffusion-Free Brusselator""; ""1. Introduction""; ""2. The diffusion-free Brusselator system""; ""3. Design of NSFD methods"" ""6. Conclusions and perspectives"" |
| Record Nr. | UNINA-9910480011003321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens's 70th birthday Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9-10, 2013, San Diego, CA / / Abba B. Gumel, editor
| Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens's 70th birthday Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9-10, 2013, San Diego, CA / / Abba B. Gumel, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 515.392 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Nonlinear oscillations
Differential equations - Asymptotic theory |
| ISBN | 1-4704-1686-7 |
| Classificazione | 34C1534D0534D2034D2337M2039A2839A3092B05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Biographical Summary of Ronald E. Mickens -- Deterministic and Stochastic SIR Epidemic Models with Power Function Transmission and Recovery Rates -- 1. Introduction -- 2. ODE Model -- 3. CTMC Model -- 4. SDE Model -- 5. Computational Results -- 6. Summary -- Acknowledgments -- References -- Evaluating the Cost-Effectiveness of Vaccination Programs -- 1. Introduction -- 2. Background and modeling framework -- 3. Model extensions and future research -- 4. Summary and concluding remarks -- References -- A Simple Two-Patch Epidemiological Model with Allee Effects and Disease-Modified Fitness -- 1. Introduction -- 2. A two-patch SI model -- 3. Endemic states -- 4. The effects of dispersal -- 5. Discussion -- 6. Proofs -- Acknowledgements -- References -- Designing NSFD Methods for Models of Population Interactions -- 1. Introduction -- 2. Definitions and Preliminaries -- 3. PESN methods for systems with hyperbolic equilibria -- 4. PAESN methods for systems with non-hyperbolic equilibria -- 5. Numerical Simulations -- 6. Discussion and Conclusions -- References -- Nonstandard Discretizations of the SIS Epidemiological Model with and without Diffusion -- 1. Introduction -- 2. Qualitative properties of the model -- 3. Nonstandard Runge-Kutta Method for the SIS Model -- 4. NSFD scheme for the SIS model -- 5. NSFD schemes for SIS-Diffusion Model -- 6. Conclusion -- Acknowledgements -- References -- Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model -- 1. Introduction -- 2. Galerkin-Least Squares Approximation -- 3. DDE Model for Circadian Rhythm -- 4. Equilibria and Linear Stability Analysis -- 5. Numerical Simulations -- Conclusions -- Acknowledgements -- References -- Exact Finite Difference Schemes -- 1. Introduction -- 2. Exact Finite Difference Schemes for ODEs -- 3. First-order linear system of two equations -- 4. Exact finite difference schemes for some PDEs -- 5. Discussion -- Acknowledgements -- References -- Design and Analysis of NSFD Methods for the Diffusion-Free Brusselator -- 1. Introduction -- 2. The diffusion-free Brusselator system -- 3. Design of NSFD methods -- 6. Conclusions and perspectives. |
| Record Nr. | UNINA-9910788257203321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens's 70th birthday Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9-10, 2013, San Diego, CA / / Abba B. Gumel, editor
| Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens's 70th birthday Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9-10, 2013, San Diego, CA / / Abba B. Gumel, editor |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (310 p.) |
| Disciplina | 515.392 |
| Collana | Contemporary mathematics |
| Soggetto topico |
Nonlinear oscillations
Differential equations - Asymptotic theory |
| ISBN | 1-4704-1686-7 |
| Classificazione | 34C1534D0534D2034D2337M2039A2839A3092B05 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Biographical Summary of Ronald E. Mickens -- Deterministic and Stochastic SIR Epidemic Models with Power Function Transmission and Recovery Rates -- 1. Introduction -- 2. ODE Model -- 3. CTMC Model -- 4. SDE Model -- 5. Computational Results -- 6. Summary -- Acknowledgments -- References -- Evaluating the Cost-Effectiveness of Vaccination Programs -- 1. Introduction -- 2. Background and modeling framework -- 3. Model extensions and future research -- 4. Summary and concluding remarks -- References -- A Simple Two-Patch Epidemiological Model with Allee Effects and Disease-Modified Fitness -- 1. Introduction -- 2. A two-patch SI model -- 3. Endemic states -- 4. The effects of dispersal -- 5. Discussion -- 6. Proofs -- Acknowledgements -- References -- Designing NSFD Methods for Models of Population Interactions -- 1. Introduction -- 2. Definitions and Preliminaries -- 3. PESN methods for systems with hyperbolic equilibria -- 4. PAESN methods for systems with non-hyperbolic equilibria -- 5. Numerical Simulations -- 6. Discussion and Conclusions -- References -- Nonstandard Discretizations of the SIS Epidemiological Model with and without Diffusion -- 1. Introduction -- 2. Qualitative properties of the model -- 3. Nonstandard Runge-Kutta Method for the SIS Model -- 4. NSFD scheme for the SIS model -- 5. NSFD schemes for SIS-Diffusion Model -- 6. Conclusion -- Acknowledgements -- References -- Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model -- 1. Introduction -- 2. Galerkin-Least Squares Approximation -- 3. DDE Model for Circadian Rhythm -- 4. Equilibria and Linear Stability Analysis -- 5. Numerical Simulations -- Conclusions -- Acknowledgements -- References -- Exact Finite Difference Schemes -- 1. Introduction -- 2. Exact Finite Difference Schemes for ODEs -- 3. First-order linear system of two equations -- 4. Exact finite difference schemes for some PDEs -- 5. Discussion -- Acknowledgements -- References -- Design and Analysis of NSFD Methods for the Diffusion-Free Brusselator -- 1. Introduction -- 2. The diffusion-free Brusselator system -- 3. Design of NSFD methods -- 6. Conclusions and perspectives. |
| Record Nr. | UNINA-9910807020403321 |
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||