Dr. Amila Muthunayake
Education
Doctorate Minor in Statistics at University of North Carolina at Greensboro
M.A. in Mathematics at University of North Carolina at Greensboro
Contact Information
Email: amilamuthunayake@weber.edu
Phone: 801-626-7107
Office Location:
Tracy Hall Science Center (TY)
Room 381N
Teaching Philosophy & Focus
I consider teaching as an opportunity to help students not only to learn but to think about what and why they are learning. I attempt to make students understand mathematical (statistical) concepts and to answer the question of why we are studying particular concepts by making connections to real-life applications.
Courses Taught
Search Catalog For Course Details
Research Areas of Interest
My current research interests are in Elliptic Partial Differential Equations, Numerical Analysis and Physics-informed Neural Networks and their applications in Ecology.
Current Projects
1) Radial finite difference methods for approximating solutions of sublinear semipositone problems in a ball.
2) The diffusive Lotka-Volterra competition model in fragmented patches: Coexistence
3) The diffusive Lotka-Volterra predator-prey model in fragmented patches: Coexistence
Publications
1) J. T. Cronin, J. Goddard II, A. Muthunayake and R. Shivaji, Modeling the effects of trait- mediated dispersal on coexistence of mutualists, J. Mathematical Biosciences and Engineering, 2020, Vol. 17, Issue 6 : 7838-7861, doi:10.3934/mbe.2020399.
2) N. Fonseka, A. Muthunayake, R. Shivaji and B. Son, Singular reaction diffusion equations where a parameter influences the reaction term and the boundary condition, J. Topological Methods in Nonlinear Analysis, 2020, Vol. 57, No.1 pp. 221 - 242, doi:10.12775/TMNA.2020.022.
3) Ujjal Das, A. Muthunayake, R. Shivaji, Existence results for a class of p-q Laplacian semi- positone boundary value problems, Electronic Journal of Qualitative Theory of Differential Equations, 2020, No. 88, pp. 1-7, doi:10.14232/ejqtde.2020.1.88.
4) D.D. Hai, A. Muthunayake, R. Shivaji, A uniqueness result for a class of infinite semiposi- tone problems with nonlinear boundary conditions, Positivity, 2021, doi:10.1007/s11117-021-00820-x.
5) A. Muthunayake, C. Phan and R. Shivaji, An infinite semipositone problem with a reversed S-shaped bifurcation curve, 2022, Electronic Research Archive.
Let's Connect!
math@weber.edu
o: 801-626-6095
f: 801-626-6427
To book a math major advising appointment:
mathadvising.youcanbook.me
Office hours
Summer:
Closed due to Covid-19
Fall:
8/24- 9/4 M-F 8 am - 4 pm
9/4-12/11: Mondays 8 am - 4 pm
Please email math@weber.edu if assistance is needed outside of these hours.
Mailing address
Weber State University
Department of Mathematics
1415 Edvalson St., Dept. 2517
Ogden, UT 84408-2517
*We are limiting in-person meetings to keep us all safer. Face-coverings are required when on campus.
