Ann Brett
Professor
Â鶹¹ÙÍø Faculty Since 2012
I joined Â鶹¹ÙÍø & Wales University in 2012. Prior to coming to Â鶹¹ÙÍø & Wales, I was a mathematics lecturer at the University of Rhode Island.
My field of research is difference equations and discrete dynamical systems. Since I have been at Â鶹¹ÙÍø & Wales, I have co-authored a number of journal articles and spoken at regional and national meetings of the American Mathematical Society. I have been a reviewer for Mathematical Reviews, which is published by the American Mathematical Society, since 2014.
I am interested in curriculum and serve on both the Arts & Sciences and University Curriculum Committees. I am presently serving my first term as chair of the Arts & Sciences Curriculum Committee.
Education
- PhD - Mathematics, University of Rhode Island
- MS - Mathematics, University of Rhode Island
- BS - Physics, University of Rhode Island
- BS - Chemical Engineering, University of Rhode Island
Teaching Interests
Mathematics, Data Analytics
Scholarly Interests
Difference equations and discrete dynamical systems
Courses
- MATH 2001: Statistics I
- MATH2043: Ordinary Differential Equations
- ILS4430: Explorations in Symmetry
- DATA 5100: Statistical Analysis
Professional Affiliations
American Mathematical Society
International Society of Difference Equations
American Physical Society
American Institute of Chemical Engineers
Publications
- A. Bilgin, A. Brett, M. R. S. Kulenović, and E. Pilav, Global dynamics of discrete system in the plane, International Journal of Bifurcation and Chaos, Vol. 28, No. 07, 1830022 (2018)
- A. Brett and M. R. S. Kulenović, Basins of attraction for two species competitive model with quadratic terms and the singular Allee effect, Discrete Dynamics in Nature and Society, Volume 2015 (2015), Article ID 847360.
- A. Brett and M. R. S. Kulenović, Two species competitive model with the Allee effect, Advances in Difference Equations, 2014: 307 (2014).
- A. Brett, E. Janowski, and M. R. S. Kulenović, MRS, Global asymptotic stability for linear fractional difference equation, Journal of Difference Equations, Volume 2014 (2014), Article ID 275312.
- A. Brett, M. R. S. Kulenović, and S. Kalabusic, Global attractivity results in partially ordered complete metric spaces, Nonlinear Studies, Volume 18, Number 2 (2011), 141-154.
- A. Brett and M. R. S. Kulenović, Basins of attraction of equilibrium points of monotone difference equations, Sarajevo Journal of Mathematics, 5(18) (2009), (2), 211–233.
Honors And Awards
- Â鶹¹ÙÍø & Wales University 2013-2014 Faculty Research Grant, Long Term Behavior of a Competitive System of Difference Equations, $2000.00