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

This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and con...

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Bibliographic Details
Main Authors: Gumel, Abba B., AMS Special Session in Honor of Ronald Mickens's 70th Birthday, Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations
Format: eBook Book
Language:English
Published: Providence, R.I American Mathematical Society 2014
Series:Contemporary mathematics
Subjects:
Biology and other natural sciences > Mathematical biology in general > General biology and biomathematics
Difference and functional equations > Difference equations > Bifurcation theory
Difference and functional equations > Difference equations > Stability theory
Differential equations
Differential equations > Asymptotic theory > Congresses
Dynamical systems and ergodic theory > Approximation methods and numerical treatment of dynamical systems > Computational methods for bifurcation problems
Mickens, Ronald E., 1943
Nonlinear oscillations
Nonlinear oscillations > Congresses
Ordinary differential equations > Qualitative theory > Nonlinear oscillations, coupled oscillators
Ordinary differential equations > Stability theory > Asymptotic properties
Ordinary differential equations > Stability theory > Global stability
Ordinary differential equations > Stability theory > Stability
ISBN:9780821898628, 0821898620
Online Access:Get full text
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Summary:This volume contains the proceedings of the AMS Special Session on Nonstandard Finite-Difference Discretizations and Nonlinear Oscillations, in honor of Ronald Mickens's 70th birthday, held January 9-10, 2013, in San Diego, CA. Included are papers on design and analysis of discrete-time and continuous-time dynamical systems arising in the natural and engineering sciences, in particular, the design of robust nonstandard finite-difference methods for solving continuous-time ordinary and partial differential equation models, the analytical and numerical study of models that undergo nonlinear oscillations, as well as the design of deterministic and stochastic models for epidemiological and ecological processes. Some of the specific topics covered in the book include the analysis of deterministic and stochastic SIR-type models, the assessment of cost-effectiveness of vaccination problems, finite-difference methods for oscillatory dynamical systems (including the Schrodinger equation and Brusselator system), the design of exact and elementary stable finite-difference methods, the study of a two-patch model with Allee effects and disease-modified fitness, the study of the delay differential equation model with application to circadian rhythm and the application of some special functions in the solutions of some problems arising in the natural and engineering sciences. A notable feature of the book is the collection of some relevant open problems, intended to help guide the direction of future research in the area.
Bibliography:Includes bibliographical references
ISBN:9780821898628
0821898620