04525nam 2200613 450 991048001100332120180731044350.01-4704-1686-7(CKB)3150000000020200(EBL)3114344(SSID)ssj0001266212(PQKBManifestationID)11738187(PQKBTitleCode)TC0001266212(PQKBWorkID)11249889(PQKB)10848407(MiAaPQ)EBC3114344(PPN)197102611(EXLCZ)99315000000002020020150415h20142014 uy 0engur|n|---|||||txtccrMathematics 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, editorProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (310 p.)Contemporary Mathematics ;618Description based upon print version of record.0-8218-9862-0 Includes bibliographical references at the end of each chapters.""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""Contemporary mathematics (American Mathematical Society) ;618.Nonlinear oscillationsCongressesDifferential equationsAsymptotic theoryCongressesElectronic books.Nonlinear oscillationsDifferential equationsAsymptotic theory515.392Mickens Ronald E.1943-Gumel Abba B.1966-AMS Special Session in Honor of Ronald Micken's 70th Birthday on Nonstandard Finite-Difference Discretizations and Nonlinear OscillationsMiAaPQMiAaPQMiAaPQBOOK9910480011003321Mathematics of continuous and discrete dynamical systems2214726UNINA