Faculty

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College / Department

College of Arts and Sciences

Department of Mathematics and Statistics

Teaching areas

Mathematics (pure and applied)

Research areas

Difference Equations, Discrete Dynamical Systems and Discrete Models in Mathematical Biology.

Education

BSc in Mathematics, Hebron University, Palestine, 1994.

High Diploma in Science Education, Bethlehem University, Palestine, 2000.

MSc in Applied Analysis, Leiden University, The Netherlands, 1996.

PhD in Mathematics, Central Michigan University, Michigan, USA, 2006

Professional experience

Associate Professor, American University of Sharjah, UAE, 2015-present.

Associate Professor, Sultan Qaboos University, Muscat, Oman, 2014-2015.

Assistant Professor, Sultan Qaboos University, Muscat, Oman, 2007-2014.

Assistant Professor, Central Michigan University, Michigan, USA, 2006-2007.

Memberships

American Mathematical society, International Society of Difference Equations, Society for Mathematical Biology.

Contact

[email protected]

+971 6 515 2961

Dr. Ziyad Al-Sharawi

Associate Professor

PhD in Mathematics, Central Michigan University, USA

Before joining AUS, Ziyad Al-Sharawi taught a variety of math courses for over nine years at Sultan Qaboos University in Oman and at Central Michigan University in the USA. His research interest is on difference equations and discrete dynamical systems. Particular interest is given to discrete models arising from problems in mathematical biology and ecology.

Publications

AlSharawi, Ziyad, Sourav Kumar Sasmal, and Joydev Chattopadhyay. "Persistence and Bifurcation in a Two-Dimensional Discrete System." Advances in Dynamical Systems and Applications 12, no. 2 (2017): 63-83.

AlSharawi, Ziyad. "Harvesting and stocking in discrete-time contest competition models with open problems and conjectures." Palestine Journal of Mathematics 5, no. 1 (2016) 1-12.

Z. AlSharawi, J. Cushing, S. Elaydi (Editors), Theory and Applications of Difference Equations and Discrete Dynamical Systems. Proceedings of the 19th International Conference on Difference Equations and Applications, Springer, 2014.

Z. AlSharawi, J. Canovas, A. Linero, Folding and unfolding in periodic difference equations, Journal of Mathematical Analysis and Applications, 417 (2014), pp. 643-659.

Z. AlSharawi, A global attractor in some discrete contest competition models with delay, Journal of Abstract and Applied Analysis, Volume 2013, Article ID 101649.

Z. AlSharawi, A. Burstein, M. Deadman, A. Umar, The solution of a recursive sequence arising from a combinatorial problem in botanical epidemiology, Journal of Difference Equations and Applications, 19 (2013) pp. 981-993.

R. Abu-Saris, Z. AlSharawi, M.B.H Rhouma, The dynamics of some discrete models with delay under the effect of constant yield harvesting, Chaos, Solitons and Fractals, 54 (2013) pp. 26-38.

A. Al-Salman, Z. AlSharawi, A new characterization of periodic oscillations in periodic difference equations, Chaos, Solitons and Fractals, 44 (2011) pp. 921- 928.

Z. AlSharawi, M.B.H. Rhouma, The discrete Beverton-Holt model with periodic harvesting in a periodically fluctuating environment, Advances in Difference Equations, Volume 2010, ID 215875.

Z. AlSharawi, M. Rhouma, Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking, Journal of Difference Equations and Applications, 15 (2009) pp. 1031-1053.

Z. AlSharawi, M. Rhouma, The Beverton-Holt model with periodic and conditional harvesting, Journal of biological dynamics, 3 (2009), pp. 463-478.

Z. AlSharawi, Periodic orbits in periodic discrete dynamics, Computers and Mathematics with Applications, 56 (2008) pp. 1966-1974.

Z. AlSharawi, J. Angelos, Linear almost periodic difference equations, Journal of Computational Mathematics and Optimization, 4 (2008) pp. 61-91.

Z. AlSharawi, J. Angelos, S. Elaydi, Existence and stability of periodic orbits of periodic difference equations with delays, International Journal of Bifurcation and Chaos, 18 (2008) pp. 203-217.

Z. AlSharawi, J. Angelos, On the periodic logistic equation, Applied Mathematics and Computation, 180 (2006) pp. 342-352.

Z. AlSharawi, J. Angelos, S. Elaydi, L. Rakesh, An extension of Sharkovsky's theorem to periodic difference equations, Journal of Mathematical Analysis and Applications, 316 (2006) pp. 128-141.

Conference Presentations

A prey-predator model with refuge and toxic effect in prey. The 22nd International Conference on Difference Equations and Applications, International Society of Difference Equations, Osaka, Japan, July 24-29.

The dynamics of a discrete-time contest-competition model with constant effort harvesting, The 21st International Conference on Difference Equations and Applications, Bialystok University of Technology, Bialystok, Poland, July 19-25, 2015.

The Dynamics of a Discrete Model with Constant Effort Harvesting, The Second International Conference on Mathematics and Statistics (AUS-ICMS’15), American University of Sharjah, UAE, April 2–5, 2015.

(Plenary Talk) Periodic Orbits in Periodically Alternating Maps, The 20th International Conference on Difference Equations and Applications, July 21-25,2014, Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan, China.

Global attractivity in difference equations of the form $x_{n+1} = x_nf(x_{n􀀀-1})+h,$ The 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications, July 07-11, 2014, Madrid, Spain.

The dynamics of some contest-competition models with the effect of harvesting and stocking, 18th International Conference on Difference Equations and Applications, July 22-27, 2012, UAB, Barcelona, Spain.

Latest characterization of periodic solutions of periodic difference equations, Third Palestinian Conference on Modern Trends in Mathematics and Physics, July 16- 18, 2012, PPU, Hebron, Palestine.

Periodic stocking in discrete contest-competition models with short delay, The Fourth International Conference on Mathematical Science (ICM2012), March 11-14, 2012, UAEU, Al-ain, UAE.

Persistence and extinction in some discrete population models with delay, Casablanca International Workshop on Mathematical Biology: Analysis and Control, June 20-24, 2011, University Hassan II, Casablanca, Morocco.

The dynamics of some discrete population models with harvesting, AMS-MAA Joint Mathematics Conference, January 6-9, 2011, New Orleans, USA.

A refinement of Sharkovskys theorem to periodic difference equations, 15th international Conference on Difference Equations and Applications, October 19-23, 2009, Lisbon, Portugal.

The effect of harvesting strategies on the discrete Beverton-Holt model, 14th Inter- national Conference on Difference Equations and Applications, July 21-25, 2008, University of Bahesehir, Istanbul, Turkey.

Other creative/research

A reviewer for the American Mathematical Society (MathSciNet Mathematical Reviews).

Co-organizer and Chairman of The 19th International Conference on Difference Equations and Applications, Sultan Qaboos University, May 26-30, 2103. (http://www.alsharawi.info/ICDEA2013/index.htm).