Maeve Lewis McCarthy
I'm an Applied Mathematician working
as Professor in the Department
of Mathematics & Statistics at Murray
State University. I’m originally from Galway, Ireland and received
my BSc and MSc in Mathematical
Physics from the National University
of Ireland, Galway. I received an MA and a PhD in Computational and Applied Mathematics
from Rice University. I am a former
Executive Director of the Association for
Women in Mathematics. Contact Info 1. US
Mail: Mathematics & Statistics, Murray State University, 6C
Faculty Hall, Murray KY 420713341 2. Phone
& Office: (270) 8092489, 6C12 Faculty Hall 3. Email: mmccarthy@murraystate.edu 






My Research Interests My main research interests are
inverse problems in differential equations and the development of
mathematical models for biological phenomena. Inverse Problems involve the use of
optimization techniques to determine model parameters from available data. I
am particularly interested in applications involving eigenvalues. In
mechanical problems, eigenvalues represent vibrational information. The
mathematics involves SturmLiouville problems and
singular techniques. In biological applications, eigenvalues often represent
growth rate information. We use capturemarkrecapture methods, projection
matrix models and
linear algebra to estimate biological properties like fecundity. I’m also interested in the behavior
of invasive species, mosquitoes and cells that are being affected by chemotaxis. Mathematically, all of these are modeled by
nonlinear partial differential equations. I have developed methods to
identify the unknown parameters in the PDE models, and in some cases to
control certain phenomena. Recently, I have become interested in the Arizona
Tiger Salamander which displays facultative paedomorphosis
in certain populations. One morph eats the juveniles, while the other does
not. I am currently developing mathematical models to describe this
phenomenon. 






Research Publications 1.
Donald Adongo, Maeve L. McCarthy, Ryan Walls, An Integer Programming Model of Fire
Station Allocation in Murray, Kentucky, submitted. 2.
Maeve McCarthy, Howard Whiteman, Intermorph cannibalism versus paedomorphosis in
Arizona Tiger Salamanders, (Ambystoma tigrinum), submitted. 3.
Don Hinton, Maeve Lewis McCarthy, Bounds and optimization of the minimum eigenvalue for a vibrating
system, Electronic Journal of Qualitative Theory of Differential
Equations, No. 48 (2013), pp. 122. (Abstract,
PDF) 4.
K. Renee Fister, Maeve McCarthy, Seth Oppenheimer,
Craig Collins, Optimal control of
insects through sterile insect release and habitat modification.
Mathematical Biosciences 2013 Aug; 244(2):20112. doi:
10.1016/j.mbs.2013.05.008 (PDF)
NonResearch
Publications






 College of Science Engineering & Technology  


Modified March 13, 2013