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Mathematics of continuous and discrete dynamical systems : [electronic resource] 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 / Abba B. Gumel, editor.

By: AMS Special Session in Honor of Ronald Micken's 70th Birthday on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations (2013 : San Diego, Calif.).
Contributor(s): Mickens, Ronald E, 1943- [honouree.] | Gumel, Abba B, 1966- [editor of compilation.].
Material type: materialTypeLabelBookSeries: Contemporary mathematics, v. 618.Publisher: Providence, Rhode Island : American Mathematical Society, 2014Description: 1 online resource (pages cm.).Content type: text Media type: unmediated Carrier type: volumeISBN: 9781470416867 (online).Subject(s): 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 biomathematicsAdditional physical formats: Mathematics of continuous and discrete dynamical systems :DDC classification: 515/.392 Other classification: 34C15 | 34D05 | 34D20 | 34D23 | 37M20 | 39A28 | 39A30 | 92B05 Online resources: Contents | Contents
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://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 Schr�odinger 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. Mac�ias-D�iaz -- 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
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Includes bibliographical references.

Deterministic and Stochastic SIR Epidemic Models with Power Function Transmission and Recovery Rates / L. J. S. Allen and E. J. Allen -- Evaluating the Cost-Effectiveness of Vaccination Programs / Elamin H. Elbasha and Erik J. Dasbach -- A Simple Two-Patch Epidemiological Model with Allee Effects and Disease-Modified Fitness / Yun Kang and Carlos Castillo-Chavez -- Designing NSFD Methods for Models of Population Interactions / Dobromir T. Dimitrov and Hristo V. Kojouharov -- Nonstandard Discretizations of the SIS Epidemiological Model with and without Diffusion / Jean M.-S. Lubuma, Eunice W. Mureithi and Yibeltal A. Terefe -- Galerkin-Least Squares Approximations for Delay Differential Equations: Application to a Circadian Rhythm Model / C. P. Vyasarayani and Tamas Kalmar-Nagy -- Exact Finite Difference Schemes / Lih-Ing W. Roeger -- Design and Analysis of NSFD Methods for the Diffusion-Free Brusselator / Andrew Kroshko, Oluwaseun Sharomi, Abba B. Gumel and Raymond J. Spiteri -- An Implicit Generalized Finite-Difference Time-Domain Scheme for Solving Nonlinear Schr�odinger Equations / Frederick Ira Moxley III, David T. Chuss and Weizhong Dai -- A Dynamically Consistent Mickens-Type Discretization of the Hodgkin-Huxley Partial Differential Equation with Non-Polynomial Reaction Law / J. E. Mac�ias-D�iaz -- Nonstandard Finite Difference Schemes for the Black-Scholes Equation / Matthias Ehrhardt -- An Analytical Method for Truly Nonlinear Oscillators / L. Cveticanin -- A Note on the Lambert $W$-Function: Applications in the Mathematical and Physical Sciences / P. M. Jordan -- Leah-Cosine and -Sine Functions: Definitions and Elementary Properties / Sandra A. Rucker -- On the Use of Special Functions for Studying Truly Nonlinear Conservative Oscillators / Ivana Kovacic -- I Wish I Knew How to ... / 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

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