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
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| Titolo: |
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
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| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| ©2014 | |
| Descrizione fisica: | 1 online resource (310 p.) |
| Disciplina: | 515.392 |
| Soggetto topico: | Nonlinear oscillations |
| Differential equations - Asymptotic theory | |
| Soggetto genere / forma: | Electronic books. |
| Persona (resp. second.): | MickensRonald E. <1943-> |
| GumelAbba B. <1966-> | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters. |
| 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"" | |
| Titolo autorizzato: | Mathematics of continuous and discrete dynamical systems |
| ISBN: | 1-4704-1686-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480011003321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Contemporary mathematics (American Mathematical Society) ; ; 618.