Supported by
National Science Foundation
College of Letters, Arts and Sciences

The purpose of the Conference is to bring together both experts and novices in the theory and application of Difference Equations (Mapping Systems or Discrete Dynamical Systems) together with experts in mathematical modeling of biological systems. The participants would present their results and help chart the course for further developments in the twenty first century by raising the following important questions and issues:
* Identifying new directions in the theory of Difference Equations with special emphasis on applications to Mathematical Biology.
* Bringing to the attention of the participants recent progress in Difference Equations applicable to Biology, Physics and Economics.
* Exploring the interplay between Biological models and those from other applied areas utilizing Difference Equations
The plenary speakers will be experts chosen from the many areas of Difference Equations in general. Contributed shorter talks in any area of Difference Equations are welcome and will be considered.

Topics based on abstracts submitted (July 16).

Genetically altered mosquitoes (why some of these models are not as good as advertised),
Asymptotic Behavior and Stability of difference equations,
Coexistence of cohorts in matrix population models
Cycles in Nonautonomous periodic maps and Sharkovsky's Theorem,
Bohl-Perron type theorem and stability of linear difference equations,
Generalized autoregressive processes,
Spreading and Information measures of discrete orthogonal polynomials
Sierpinski curve rational maps,
Symbolic dynamics in the study of bursting electrical activity,
Calculus of iterations in physics of living and thinking systems,
Bubble bifurcation in the economics discrete systems,
Generalized Ricatti equation and discrete regulator problem,
A discrete cardiac loop reentry model
A one-dimensional quardic map modeling the aggressive patterns of worker honey bees toward a foreign queen: a theoretical and experimental approach,
Controlling Cournot-Nash chaos,
Solution estimates for abstract nonlinear difference equations,
Global character of some rational equations with period two coefficients.
Comparisons of numerical and approximate analytic solutions for a nonlinear oscillator,
Non-standard methods for dissipative singular perturbation problems,
Positive periodic solutions of functional discrete systems and population models,
Oscillation of coupled nonlinear discrete systems,
Monotone maps and application to biology,
Analytic solutions of nonlinear difference equations,
Identification of the absent spectral gaps in a class of periodic Jacobi operators,
Generating system for 2D images based on discrete chaotic dynamics difference equations.
difference approximation of Hamilton Jacobi equation: Convergence,
Rotation problems in polynomial dynamical systems,
Discretization of mathematical models in infection theory,
Difference equation modeling of reentrant cardiac electrical activity,
Contributions to discrete Schrodinger theory.
A discrete size-structured chemostat model of plasmid-bearing and plasmid-free competition,
The effect of bacterial decomposition on chemostat models,
Solution of infinite slab static problem using finite strip method by difference equations,
Inshore-offshore discrete time metapopulation models with larval transport,
Dynamics of F-o motor of ATP synthase,
A Dynamic Analysis of the Bush Fiscal Policy,
Analysis of stage structured ecological models,
Dynamic consistency in nonstandard finite difference schemes,
Robustness in difference equations,
Extinction in discrete time stochastic population & epidemic models,
Enveloping implies global stability,
Stability and bifurcations of nonautonomous maps,
The harmonic oscillator on discrete time scales,
Deterministic reconstruction of repetitive DNA for use in genome assembly,
Taylor approximation of invariant fiber bundles for nonautonomous difference equations.
Estimation of blood alcohol concentration from skin vapor sensors,
Dynamical systems for solving ill-posed problems,
Global behavior of nonautonomous difference equations,
Asymptotic solutions and error estimates for linear difference systems,
Discrete competition models,
Mathematical modeling to determine the infectiousness of HIV,
Fermat's last theorem and a partial difference equation