Tim Reluga
treluga at math-dot-psu-dot-edu
As of January 23, 2010
Announcement: I currently have funding available for
a graduate student and a
postdoc.
Those interested can email me at treluga@math.psu.edu.
I am an assistant professor of
mathematics
and biology
at
Penn State
and a member of the
Center for Infectious Disease Dynamics (CIDD).
My research interests concern the description, understand,
and prediction of the dynamics of biological systems. This
currently includes work in ecology, epidemiology,
immunology, evolution, medicine, human behavior, and economics.
I always have more projects and ideas going than I have time
for, so I welcome emails from all students looking for
interesting research projects.
Students interested in getting involved in math research
should also check out the department's
undergraduate research page.
Curriculum Vitae.
-
A general approach to population games with application to vaccination. By
T. Reluga and A. Galvani.
- submitted to Mathematical Biosciences, August, 2009.
Preprint PDF.
-
An SIS epidemiology game with two subpopulations. By T. Reluga.
- Journal of Biological Dynamics, 3 (5):
515-531, 2009.
DOI
Link,
Preprint PDF.
-
The discounted reproductive number for epidemiology. By T. Reluga,
J. Medlock, and A. Galvani.
- Mathematical Biosciences and Engineering, 6
(2): 377-393, 2009.
This paper uses M-matrix theory, non-negative matrices, and
Perron-Frobenius theory to establish some useful results regarding
next-generation matrixes for population biology.
DOI
Link, Preprint
PDF.
-
Analysis of hepatitis C virus infection models with hepatocyte homeostasis.
By T. Reluga, H. Dahari, and A. S. Perelson.
- SIAM Journal on Applied Mathematics, 69 (4):
999-1023, 2009.
DOI Link,
Preprint PDF.
-
Backward bifurcations and multiple equilibria in epidemic models with
structured immunity. By T. Reluga, J. Medlock, and A. Perelson.
- Journal of Theoretical Biology, 252 (1):
155-165, 2008.
DOI
Link,
Preprint PDF.
-
Optimal timing of disease transmission in an age-structured population. By
T. Reluga, J. Medlock, E. Poolman, and A. Galvani.
- Bulletin of Mathematical Biology, 69 (8):
2711-2722, 2007.
DOI
Link,
Preprint PDF.
-
Reservoir interactions and disease emergence. By T. Reluga, D. B. Walton,
R. Meza, and A. Galvani.
- Theoretical Population Biology, 72 (3):
400-408, 2007.
This paper contains some useful results on reducible branching
processes and the multivariable form of L'Hopital's rule. L'Hopital's rule is
particularly useful for multivariable generating functions because critical
processes are sure to have a double root.
DOI
Link,
Preprint PDF.
-
Long-standing influenza vaccination policy is in accord with individual
self-interest but not with the utilitarian optimum. By A. Galvani,
T. Reluga, and G. Chapman.
- Proceedings of the National Academy of Sciences, 104
(13): 5692-5697, March 27 2007.
DOI
Link, Preprint
PDF.
-
Resistance mechanisms matter in SIRS models. By T. Reluga and J. Medlock.
- Mathematical Biosciences and Engineering, 4
(3): 553-563, July 2007.
Link.
Preprint PDF.
-
Evolving public perceptions and stability in vaccine uptake. By T. Reluga,
C. Bauch, and A. Galvani.
- Mathematical Biosciences, 204: 185-198, 2006.
DOI
Link,
Preprint PDF.
-
A model of spatial epidemic spread when individuals move within overlapping
home ranges. By T. Reluga, J. Medlock, and A. Galvani.
- Bulletin of Mathematical Biology, 68 (2):
401-416, February 2006.
This paper uses an Ornstein-Uhlenbeck process to describe spatial
movement and obtains some asymptotic results for the speed of spatial spread
of an epidemic. C++/Linux Code.
DOI
Link,
Preprint PDF.
-
On antibiotic cycling and optimal heterogeneity. By T. Reluga.
- Mathematical Medicine and Biology, June 2005.
This paper studies generalizations of the Meissner equation to show
how changes in antibiotic use may increase or decrease resistance prevalence.
DOI
Link, Preprint
PDF.
-
Nonequilibrium thermodynamics of a nonlinear biochemical switch in a cellular
signaling process. By H. Qian and T. Reluga.
- Physical Review Letters, 94: 028101, January 2005.
DOI
Link,
Preprint PDF.
-
Simulated evolution of selfish herd behavior. By T. Reluga and S. Viscido.
- Journal of Theoretical Biololgy, 234 (2):
213-225, 2005.
C++/Linux Code.
DOI
Link,
Preprint PDF.
-
Stochasticity, invasions, and branching random walks. By M. Kot, J. Medlock,
T. Reluga, and D. B. Walton.
- Theoretical Population Biology, 66 (3):
175-184, 2004.
DOI
Link,
Preprint PDF.
-
A two-phase epidemic driven by diffusion. By T. Reluga.
- Journal of Theoretical Biology, 229 (2):
249-261, July 21 2004.
This paper shows how a double-epidemic might emerge from a
bioterrorism attack.
DOI
Link,
Preprint PDF.
-
Analysis of periodic growth-disturbance models. By T. Reluga.
- Theoretical Population Biology, 66 (2):
151-161, September 2004.
DOI
Link,
Preprint PDF.
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2010-01-23