Associate Professor

Department of Mathematical Sciences

E-mail: mballyk@nmsu.edu

Office: Science Hall 224

Phone: (575) 646-6270

Fax: (575) 646-1064

__Mathematical Biology
Program Information__

The Mathematical Biology Program at NMSU was established in 2009 through a grant from the National Science Foundation. The goal of the program is to enhance undergraduate education and training at the intersection of mathematics and biology by providing students with long-term, cohort-based research experiences that combine biological experimentation with mathematical modeling.

For further information, please visit our website at www.mathbio.nmsu.edu.

**1. **Recipient of the 2008 Donald C. Roush Award for Excellence in Teaching

**2. **Nominated for the 2006-2007 Patricia Christmore
Teaching award

**3. **One if five finalists for
the 2005-2006 Patricia Christmore
Teaching award

**4.** The 8^{th} Bellman
Prize for the best paper published in Mathematical Biosciences for the two-year
period 1998-1999, with Dr. Hal Smith of

**1.**
M. Ballyk, G.S.K. Wolkowicz,
“Classical and resource-based competition: A unifying graphical
approach.” To appear in Journal of Mathematical Biology.

**2.** M.
Ballyk, E. Barany, “Stabilization
of chemostats using feedback linearization and
reduction of dimension.” Proceedings of the 2009
American Control Conference,

**3.** M. Ballyk, E. Barany, “The role of resource type in the control of chemostats using feedback linearization,” Ecological
Modeling 211: 25-35 (2008)

**4.**
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,

**5.** H. Noussi, M. Ballyk, E. Barany, “Stabilization of chemostats
using feedback linearization.” To appear in the
Proceedings of the 46^{th} IEEE Conference on Decision and Control,

**6. **M. Ballyk, E. Barany,
“The role of resource types in the control of chemostats
using feedback linearization,” Proceedings of the 26^{th}
American Control Conference,

**7.** 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)

**8.** 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)

**9.** 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)

**10.**
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).

**11.** 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).

**12.**
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).

**13.** 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).

**14.** 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).

**15.** 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).

**16.** 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. **R.I Ruiz-Cooley, M. Ballyk, B. Milligan, “Are
Sperm Whales Keystone Predators?” Presented by R.I. Ruiz-Cooley at the 18th Biennial Conference on
the Biology of Marine Animals -

**2.** M. Ballyk, E. Barany,
“Stabilization of chemostats using feedback
linearization and reduction of dimension.” Presented by E. Barany at the 2009 American Control Conference,

**3.** M. Ballyk, E. Barany,
“Stabilization of chemostats using feedback
linearization and reduction of dimension.” Presented by M. Ballyk at the

**4. **M. Ballyk, S. Galayda,
B. Milligan, “Teaching dynamical systems at the high school level.”
A poster presented by M. Ballyk at the SIAM
Conference on Applications of Dynamical Systems, Snowbird, UT, May 17-21, 2009.

**5.**
M. Ballyk, G.S.K. Wolkowicz,
“Classical and resource-based competition: A unifying graphical approach.”
Invited speakers to Mathematical Tools for Multi-scale
Biological Models,

**6**. 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.

**7. **M. Ballyk, J. Cook, P. Mallapragada,**
**M. Mitchell,** **

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

**9.** 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.

**10. **M.M. Ballyk,
W. Boecklen, “UBM: A training program for
research on the interface of Mathematics and Biology at

**11.** 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.

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

**13.** 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,