Dr. (Mrs.) T. M. M. De Silva

• Mathematical Biology, Dynamical Systems, Difference and Differential Equations

Journals:

1. S. P. D. S. S. K. Karunarathna, M. P. D. S. Lakshmi, T. M. M. DeSilva “The Accuracy of Zernike Reconstruction of Ocular Aberrations with Measurement Noise”, International Journal of Engineering Applied Sciences and Technology, Vol. 1, No.8: 1-6, 2022.

2.T. M. M. De Silva, S. Jang, “Permanence and Stability in a Larch Budmoth Population Model”, Far East Journal of Applied Mathematics, Vol. 102, No.1: 9-18, 2019.

3. T. M. M. De Silva, S. Jang, “Stochastic Modeling of Phytoplankton Zooplankton Interaction with a Toxin Producing Phytoplankton”, Journal of Biological Systems, Vol. 26, No. 1:87106, 2018.

4. T. M. M. De Silva, S. Jang, “Period-doubling and Neimark-Sacker Bifurcations in a Larch Budmoth Population Model”, Journal of Difference Equations and Applications, 23 (10):1619-1639, 2017.

5. T. M. M. De Silva, S. Jang, “Dynamical Behavior of Systems of Two Phytoplankton and One Zooplankton Populations with Toxin Producing Phytoplankton”, Mathematical Methods in the Applied Sciences, 40 (12):4295-4309, 2017.

6. T. M. M. De Silva, S. Jang, “Competitive Exclusion and Coexistence in a Lotka Volterra Competition Model with Allee Effects and Stocking”, Letters in Biomathematics, 2:56-66, 2015.

Conference Full Papers:

 1. P.P. Dilshani, T.M.M. De Silva, “Hopf Bifurcation in a Periodic Toxin Producing Phytoplankton Model”, Proceedings of the ICAPS, International Conference on Applied and Pure Sciences, 3:211-216, 2023.

2. R.A.V.M. Jayarathna, T.M.M. DeSilva, S.P.D.S.S.K. Karunarathna “Mathematical Modelling of Tumorigenesis”, Proceedings of the 14th Symposium on Applied Science, Business and Industrial Research, 177-181, 2023.

Abstract Submissions:

 1. Qualitative and quantitative analysis of the dengue fever model with reference to the data obtained from Sri Lanka., ICAPS, University of Kelaniya, 2023.

2. Asymptotic Dynamics of a Periodic Toxin Producing Phytoplankton Model, RESCON, University of Peradeniya, 2023.

3. Zernike reconstruction of ocular aberrations with measurement noise, RITSCON, University of Ruhuna, SL, 2022.

4. Stochastic modeling of Lotka-Volterra competition, ICAPS, University of Kelaniya, 2022.

5. Deterministic and Stochastic Dynamics of Lotka-Volterra Competition Model, International Research Conference, SLTC, June 2020.

6. Stochastic Modeling of Population Interaction with Allee Effects and Stocking, PGIS RESCON, University of Peradeniya, SL, Oct 2019.

7. Stochastic Modeling of Lotka-Volterra Competition Model with Allee Effects, PGIS RESCON, University of Peradeniya, SL, Nov 2018.

8. Deterministic and stochastic modeling of phytoplankton-zooplankton interactions, Special Session on Recent Advances on Complex Bio-systems and Their Applications, Spring Southeastern Sectional Meeting, AMS Special Session, Vanderbilt University, Nashville, TN, USA, April 2018.

9. Deterministic and Stochastic Modeling of Plankton Interactions, Biomathematics Seminar, Texas Tech University, USA, Sep 2017.

10. Stochastic Modeling of Plankton Interactions with Random Birth and Death, West Texas Applied Math Graduate Mini symposium, Texas Tech University, USA, Apr 2017.

11. Stochastic Modeling of Plankton Interactions with Random Birth and Death, Graduate school poster competition, Texas Tech University, USA, Mar 2017.

12. Stochastic Modeling of Phytoplankton-Zooplankton Interactions, American Mathematical Society(AMS) Session for Contributed Papers, Joint Mathematics Meetings, Georgia, USA, Jan 4-7 2017.

13. Deterministic and Stochastic Dynamics of Phytoplankton-Zooplankton Interactions with a Toxin Producing Phytoplankton, Association of Women in Mathematics Workshop Poster Presentations, Joint Mathematics Meetings, Georgia, USA, Jan 4-7 2017.

14. Deterministic and Stochastic Modeling of Phytoplankton-Zooplankton Interactions, Texas Tech University Three minutes Thesis competition, Texas Tech University, USA, Oct 2016.

15. Mathematical Modeling of Phytoplankton-Zooplankton Interactions with a Toxin Producing Phytoplankton, Graduate school poster competition, Texas Tech University, USA, Apr 2016.

16. Dynamics of Phytoplankton-Zooplankton Interactions with Toxin Producing Phytoplankton and Mutual Interference of Zooplankton, AMS Session on Mathematical Biology and Related Fields, Joint Mathematics Meetings, Seattle, USA, Jan 6-9 2016.

17. Dynamics of Phytoplankton-Zooplankton Interactions with Toxin Producing Phytoplankton and Mutual Interference of Zooplankton, Biomathematics Seminar, Texas Tech University, USA, Oct 2015.

18. Dynamics of a Lotka-Volterra Competition Model with Allee Effects and Stocking, AMS Contributed paper Session on Ordinary Differential Equations, Joint Mathematics Meetings, San Antonia, USA, Jan 10-13 2015.

19. Dynamics of the Lotka-Volterra Competition Model with Allee Effects and Stocking, International Symposium on Biomathematics and Ecology Education and Research 2014, Illinois State University, USA, Oct 10-12, 2014.

20. Lotka-Volterra Competition Model and Related Research Topics, Society for Industrial and Applied Mathematics, Texas Tech University, USA, Nov 2014.

21. Convergence Properties in Numerical Algorithms of Option Price Calculation, 12th Annual Research Symposium, 2011, University of Kelaniya, Kelaniya, Sri Lanka, 2011.

1. Reviewer, ASBIRES Conference, Wayamba University Sri Lanka. 2019.

2. Reviewer, IRSPAS conference, University of Kelaniya. 2019.

3. Reviewer, Undergraduate Poster Session-Science Section, Texas Tech University, TX, USA Mar 2017.

4. Judge, Mathematical Association of America, Undergraduate Poster Session, Joint Mathematics Meetings, Georgia, USA Jan 2017.

5. Moderator, Mathematical Association of America, General Contributed Paper Session, Joint Mathematics Meetings, Georgia, USA Jan 2017.

6. Reviewer, Finance section, Arts and Humanities Conference, Texas Tech University, TX, USA Nov 2016.

7. Financial Counselor, Graduate Student Advisory Council , Texas Tech University, USA October 2016–Present.

8. Chapter Representative, SIAM Annual Meeting , Boston, MA, USA July 2016.

9. Reviewer, Undergraduate Poster Session-Science Section, Texas Tech University, TX, USA Apr 2016.

10. Judge, Mathematical Association of America, Undergraduate Poster Session, Joint Mathematics Meetings, Seattle, WA, USA Jan 2016.

11. Judge, Southcrest Christian School Science Fair, Lubbock, TX, USA Jan 2015.

12. Chair, American Mathematical Society, Contributed Paper Session for Ordinary Differential Equation, Joint Mathematics Meetings, San Antonio, TX Jan 2015.

13. Treasure, Society for Industrial and Applied Mathematics (SIAM Chapter-Texas Tech University) June 2015 – June 2016.

14. Student partner, WileyPLUS (Texas Tech University) Jan 2015 -May 2017

• Stochastic Modelling of Population Interaction 

1. Ronald M. Anderson Scholar, Department of Mathematics and Statistics, Texas Tech University, 2017-2018.

2. Summer Dissertation Research Award, Graduate Fellowships, Texas Tech University, 2017.

3. Helen DeVitt Jones Graduate Fellowship, Texas Tech University, 2017-2018.

4. NSF/AWM Travel Award, Graduate Student Participation in National Workshops to Encourage Women’s Engagement in Mathematics Research, 2016.

5. Travel Award, Society of Industrial and Applied Mathematics (SIAM) official chapter representative, AN16, 2016.

6. Society of Industrial and Applied Mathematics (SIAM) Scholar, 2015-2016. 

7. Travel Award, International Symposium on Biomathematics and Ecology Education and Research, 2014