Mary Ballyk

 

Assistant Professor

Department of Mathematical Sciences

New Mexico State University

Las Cruces, NM 88003-8001

 

Contact Information

 

E-mail: mballyk@nmsu.edu

Office: Walden Hall 218

Phone: (505) 646-6270

Fax: (505) 646-1064

 

Publications

 

1. M. Ballyk, E. Barany, “The role of resource type in the control of chemostats using feedback linearization,” To appear in Ecological Modeling.

 

2. M. Ballyk, D. Jones, H. Smith, “The Biofilm Model of Freter: a review,” to appear January 2008 as a chapter in Structured Population Models in Biology and Epidemiology, a volume in the Lecture Notes in Mathematics (Mathematical Biosciences Subseries). P. Magal, S. Ruan (eds.) Springer-Verlag.

 

3. H. Noussi, M. Ballyk, E. Barany, “Stabilization of chemostats using feedback linearization.” To appear in the Proceedings of the 46th IEEE Conference on Decision and Control, December 10-11, 2007.

 

4. M. Ballyk, E. Barany, “The role of resource types in the control of chemostats using feedback linearization,” Proceedings of the 26th American Control Conference, July 11-13, 2007.

 

5. M. Golinski, E. Barany, M. Ballyk, “Ecological conditions that favor the evolution of intermediate virulence in an environmentally transmitted parasite,” Journal of Mathematical Biology 51: 389-402 (2005)

 

6. M. Ballyk, C.C. McCluskey, G.S.K. Wolkowicz, “Global analysis of competition for perfectly substitutable resources with linear response,” Journal of Mathematical Biology 51: 458-490 (2005)

 

7. M.M. Ballyk, D.A. Jones, H.L. Smith, “Microbial competition in reactors with wall attachment: A mathematical comparison of chemostat and plug flow models,” Microbial Ecology 41: 210-221 (2001)

 

8. M.M. Ballyk, H.L. Smith, “A model of microbial growth in a plug flow reactor with wall attachment,” Mathematical Biosciences 158:95-126 (1999).

 

9. M.M. Ballyk, H.L. Smith, “A flow reactor with wall growth,” in Mathematical Models in Medical and Health Science, ed. M. Horn, G. Simonett, G. Webb, Vanderbilt University Press, Nashville (1998).

 

10. M.M. Ballyk, D. Le, D.A. Jones, H.L. Smith, “Effects of random motility on microbial growth and competition in a flow reactor,” SIAM Journal on Applied Mathematics 59:573-596 (1998).

 

11. G.S.K. Wolkowicz, M.M. Ballyk, Zhiqi Lu, “Microbial dynamics in a chemostat: Competition, growth, implications of enrichment,” in Differential Equations and Control Theory, Lecture Notes in Pure and Applied Mathematics Vol. 176, Z. Deng, Z. Liang, G. Lu, and S. Ruan eds., Marcel Dekker, New York, 389-406 (1996).

 

12. M.M. Ballyk, G.S.K. Wolkowicz, “An examination of the thresholds of enrichment: A resource-based growth model,” Journal of Mathematical Biology 33:435-457 (1995).

 

13. G.S.K. Wolkowicz, M.M. Ballyk, S.P. Daoussis, “Interaction in a chemostat: Introduction of a competitor can promote greater diversity,” Rocky Mountain Journal of Mathematics 25:515-543 (1995).

 

14. M.M. Ballyk, G.S.K. Wolkowicz, “Exploitative competition in the chemostat for two perfectly substitutable resources,” Mathematical Biosciences 118:127-180 (1993)

 

 

Conferences and Colloquium Talks

 

1. M.Ballyk, E. Barany, “The role of resource types in the control of chemostats using feedback linearization,” Special session of the AMS Western Sectional Meeting, University of Arizona, Tucson, AZ, April 21-22, 2007.

 

2. M. Ballyk, J. Cook, P. Mallapragada, M. Mitchell, I. Pivkina, S. Schibel, “Analysis and Application of Performance Prediction Tools.” Poster submitted as part of the “High End Computing along the Rio Grande” high-performance computing consortium display at SC|06 (Supercomputing), November 11-17, 2006.

 

3. M.M. Ballyk, “Enrichment thresholds for growth and predation,” International Workshop on Differential Equations and Mathematical Biology, Le Havre, France, July 11-13, 2005.

 

4. M.M. Ballyk, G.S.K. Wolkowicz, “Enrichment thresholds for growth and predation,” Special session of the AMS Central Sectional Meeting, Texas Tech University, Lubbock , TX, April 8-10, 2005.

 

5. M.M. Ballyk, W. Boecklen, “UBM: A training program for research on the interface of Mathematics and Biology at New Mexico State University,” Special session of the MAA Southwestern Section Conference, University of Texas at El Paso, April 1-3, 2005.

 

6. M.M. Ballyk, C. Connell McCluskey, G.S.K. Wolkowicz,  “Competition in the chemostat for two perfectly substitutable resources,” International Conference on Nonlinear Dynamics and Evolution Equations, Memorial University of Newfoundland, Canada, July 6-10, 2004.

 

7. M.M. Ballyk, G.S.K. Wolkowicz, “Microbial growth and interaction under nutrient limitation,” Colloquium at McMaster University Department of Mathematics and Statistics, March 19, 2004.

 

8. M.M. Ballyk, G.S.K. Wolkowicz, “Enrichment Thresholds for Growth and Predation,” Fourth Geoffrey J. Butler Memorial Conference in Differential Equations and Mathematical Biology, Edmonton, Alberta, Canada, June 2003.