Title 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

Published Providence, Rhode Island : American Mathematical Society, [2014] ©2014

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Description 1 online resource (ix, 310 pages) : illustrations (some color) Series Contemporary mathematics ; 618 Contemporary mathematics (American Mathematical Society) ; v. 618. Contents Deterministic and Stochastic SIR Epidemic Models with Power Function Transmission and Recovery Rates / L. J. S. Allen and E. J. Allen -- http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/'>http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12329 Evaluating the Cost-Effectiveness of Vaccination Programs / Elamin H. Elbasha and Erik J. Dasbach -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12343 A Simple Two-Patch Epidemiological Model with Allee Effects and Disease-Modified Fitness / Yun Kang and Carlos Castillo-Chavez -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12342 Designing NSFD Methods for Models of Population Interactions / Dobromir T. Dimitrov and Hristo V. Kojouharov -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12345 Nonstandard Discretizations of the SIS Epidemiological Model with and without Diffusion / Jean M.-S. Lubuma, Eunice W. Mureithi and Yibeltal A. Terefe -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12326 Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model / C. P. Vyasarayani and Tamas Kalmar-Nagy -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12348 Exact Finite Difference Schemes / Lih-Ing W. Roeger -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12349 Design and Analysis of NSFD Methods for the Diffusion-Free Brusselator / Andrew Kroshko, Oluwaseun Sharomi, Abba B. Gumel and Raymond J. Spiteri -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12362 An Implicit Generalized Finite-Difference Time-Domain Scheme for Solving Nonlinear Schrödinger Equations / Frederick Ira Moxley III, David T. Chuss and Weizhong Dai -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12325 A Dynamically Consistent Mickens-Type Discretization of the Hodgkin-Huxley Partial Differential Equation with Non-Polynomial Reaction Law / J. E. Macías-Díaz -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12327 Nonstandard Finite Difference Schemes for the Black-Scholes Equation / Matthias Ehrhardt -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12330 An Analytical Method for Truly Nonlinear Oscillators / L. Cveticanin -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12350 A Note on the Lambert $W$-Function: Applications in the Mathematical and Physical Sciences / P. M. Jordan -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12351 Leah-Cosine and -Sine Functions: Definitions and Elementary Properties / Sandra A. Rucker -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12341 On the Use of Special Functions for Studying Truly Nonlinear Conservative Oscillators / Ivana Kovacic -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12344 I Wish I Knew How to ... / Ronald E. Mickens -- http://www.ams.org/conm/618/ http://dx.doi.org/10.1090/conm/618/12347 Bibliography Includes bibliographical references Notes Print version record Subject Nonlinear oscillations -- Congresses Differential equations -- Asymptotic theory -- Congresses Differential equations -- Asymptotic theory. Nonlinear oscillations. Genre/Form Festschriften. Conference papers and proceedings. Festschriften. Form Electronic book Author Mickens, Ronald E., 1943- honouree. Gumel, Abba B., 1966- editor, author. ISBN 9781470416867 1470416867

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