Department of Mathematics and Philosophy

Dinesh Ekanayake

Dinesh Ekanayake
Professor and Graduate Coordinator

Specializing in Applied Mathematics

Education

Ph.D., Texas Tech University (Mathematics)
M.S., Texas Tech University (Mathematics)
B.S., University of Peradeniya, Sri Lanka (Electrical Engineering)

Contact Information

Office: Morgan Hall 463B
Phone: (309) 298-1239
Email: DB-Ekanayake@wiu.edu
Personal Web Page: http://dekanayake.weebly.com/

Research Interests

Research: My research areas are, broadly, dynamical systems, control, optimization, and computational and data sciences. My specific interests are in hysteresis and biologicalapplications.

Research with graduate students: I am interested in working with students who have a strong desire to pursue a Ph.D. in computational and applied mathematics after their M.S. degree at WIU.

Research with undergraduate students: I would guide students interested in modeling, scientific computing, machine learning, and data analysis problems arising from interdisciplinary areas such as engineering, physics, and biology.

Selected Publications

  • Dinesh Ekanayake, Hunter La Croix, Amy Ekanayake. Alternative stable states and disease induced extinction. Mathematical Modelling of Natural Phenomena 19 (2024): 18-33.
  • Keely Nicole Wharton, Courtney A Walsh, Marlena Haulter, Dinesh Ekanayake, Dil Ekanayake-Alper. Sedation Efficacy of Midazolam in Conjunction with Ketamine and Alfaxalone in Female Laboratory Guinea Pigs (Cavia porcellus). Journal of the American Association for Laboratory Animal Science (2024): Published online.
  • D. J. LaFountain, and D. B. Ekanayake. Tight partitions for packing circles in a circle.Italian Journal of Pure and Applied Mathematics 51 (2024): 115–136.
  • J. A Avelino, C. A. Walsh, K. N. Wharton, D.B. Ekanayake, D. Ekanayake-Alper. A Comparative Analysis of Three Anesthetic Drug Combinations to Induce Surgical Plane ofAnesthesia in Female Laboratory Guinea Pigs (Cavia porcellus). Journal of the American Association for Laboratory Animal Science 63 (2024): 182-189.
  • D.B. Ekanayake, I. Wasala Mudiyanselage, and N. Wickramasinghe. Expectation of Occupancy for Habitat Quality Research for Threatened and Endangered Avian and Bat Species. Letters in Biomathematics 10 (2023): 117-132.
  • D. B. Ekanayake, D. J. LaFountain, and B Petracovici. Finite convergence into a convexpolytope via facet reflections. Applications of Mathematics 68 (2023): 387–404.
  • D. B. Ekanayake, M.M. Ranpatidewage, and D. J. LaFountain. Optimal packings for filled rings of circles, Applications of Mathematics 65 (2020): 1-22.
  • D.B. Ekanayake, A.J. Ekanayake, J. Hunt, and C. L. Miller--Hunt. Modeling reproduction of whitetail deer and its applications. Journal of Theoretical Biology. 459 (2018): 90-102.
  • E. S. Schroder, D. B. Ekanayake, and S.P. Romano. Indiana bat maternity roost habitat preference within Midwestern United States upland Oak-Hickory (Quercus-Carya) forests. Forest Ecology and Management. 404 (2017): 65-74.
  • A.J. Ekanayake and D.B. Ekanayake. A seasonal SIR metapopulation model with an Allee effect with application to controlling plague in prairie dog colonies. Journal of Biological Dynamics, Volume 9, Issue Sup. 1 (2015): 262-290.
  • D.B. Ekanayake and R.V. Iyer. Stabilization of a system with saturating, non-monotone hysteresis and frequency dependent power losses by a PD controller. Journal of Physics: Conference Series, Vol. 585, No. 1 (2015): 1-10.
  • D.B. Ekanayake and R.V. Iyer. Proportional derivative control for hysteretic systems. SIAM Journal on Control and Optimization, Vol. 51, No. 5 (2013): 3415-3433.
  • D.B. Ekanayake. Robust constrained trajectory tracking for magnetically controlled linear actuators with hysteresis, IEEE ACC. (2013): 3585 - 3590.
  • D.B. Ekanayake and R. Iyer. Asymptotic behavior of a low dimensional model for magnetostriction for periodic inputs. Physica B: Condensed Matter, Volume 403, Issues 2-3 (2008): 257-260.
  • D.B. Ekanayake and R. Iyer. Study of a play-like operator. Physica B: Condensed Matter, Volume 403, Issues 2-3, (2008): 456-459.
  • R.V. Iyer and D.B. Ekanayake. Extension of hysteresis operators of Preisach type to real, Lebesgue measurable functions. Physica B: Condensed Matter, Volume 403, Issues 2-3, (2008): 437-439.
  • D.B. Ekanayake, R.V. Iyer, and W.P. Dayawansa, Wide band modeling and parameter identification for magnetostrictive actuators. IEEE ACC, (2007): 4321 - 4326.