Mathematics of continuous and discrete dynamical systems : AMS Special Session in Honor of Ronald Mickens' 70th birthday on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, January 9--10, 2013, San Diego, CA / [electronic resource]
Abba B. Gumel, editor.
- 1 online resource (pages cm.)
- Contemporary mathematics, v. 618 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
Deterministic and Stochastic SIR Epidemic Models with Power Function Transmission and Recovery Rates / Evaluating the Cost-Effectiveness of Vaccination Programs / A Simple Two-Patch Epidemiological Model with Allee Effects and Disease-Modified Fitness / Designing NSFD Methods for Models of Population Interactions / Nonstandard Discretizations of the SIS Epidemiological Model with and without Diffusion / Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model / Exact Finite Difference Schemes / Design and Analysis of NSFD Methods for the Diffusion-Free Brusselator / An Implicit Generalized Finite-Difference Time-Domain Scheme for Solving Nonlinear Schr�odinger Equations / A Dynamically Consistent Mickens-Type Discretization of the Hodgkin-Huxley Partial Differential Equation with Non-Polynomial Reaction Law / Nonstandard Finite Difference Schemes for the Black-Scholes Equation / An Analytical Method for Truly Nonlinear Oscillators / A Note on the Lambert $W$-Function: Applications in the Mathematical and Physical Sciences / Leah-Cosine and -Sine Functions: Definitions and Elementary Properties / On the Use of Special Functions for Studying Truly Nonlinear Conservative Oscillators / I Wish I Knew How to ... / L. J. S. Allen and E. J. Allen -- Elamin H. Elbasha and Erik J. Dasbach -- Yun Kang and Carlos Castillo-Chavez -- Dobromir T. Dimitrov and Hristo V. Kojouharov -- Jean M.-S. Lubuma, Eunice W. Mureithi and Yibeltal A. Terefe -- C. P. Vyasarayani and Tamas Kalmar-Nagy -- Lih-Ing W. Roeger -- Andrew Kroshko, Oluwaseun Sharomi, Abba B. Gumel and Raymond J. Spiteri -- Frederick Ira Moxley III, David T. Chuss and Weizhong Dai -- J. E. Mac�ias-D�iaz -- Matthias Ehrhardt -- L. Cveticanin -- P. M. Jordan -- Sandra A. Rucker -- Ivana Kovacic -- Ronald E. Mickens -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12329 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12343 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12342 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12345 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12326 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12348 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12349 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12362 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12325 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12327 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12330 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12350 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12351 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12341 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12344 http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12347
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2014
Mode of access : World Wide Web
9781470416867 (online)
Nonlinear oscillations,--Congresses. Differential equations--Asymptotic theory--Congresses. Ordinary differential equations -- Qualitative theory -- Nonlinear oscillations, coupled oscillators. Ordinary differential equations -- Stability theory -- Asymptotic properties. Ordinary differential equations -- Stability theory -- Stability. Ordinary differential equations -- Stability theory -- Global stability. Dynamical systems and ergodic theory -- Approximation methods and numerical treatment of dynamical systems -- Computational methods for bifurcation problems. Difference and functional equations -- Difference equations -- Bifurcation theory. Difference and functional equations -- Difference equations -- Stability theory. Biology and other natural sciences -- Mathematical biology in general -- General biology and biomathematics.