Amy Veprauskas

Associate Professor
Applied Mathematics

305C Maxim Doucet Hall
337-482-6712
aveprauskas@louisiana.edu

Ph.D. 2016 University of Arizona
M.S. 2013 University of Arizona
M.A. 2010 Bryn Mawr College
B.A. 2010 Bryn Mawr College

My research interests are in mathematical models of population and evolutionary dynamics. To study these models, I utilize techniques from dynamical systems theory such as stability analysis and bifurcation theory. In particular, my work focuses on structured population models in which individuals are assigned to a given class based on characteristics such as age, stage, or body size. This type of modeling methodology allows for the consideration of how differences among these classes, such as survival rates, evolutionary behaviors, or external environmental forces, may result in dramatic changes in the dynamics. Specific applications of the models that I work on include examining the effect of oil spills on whale population persistence and identifying potential mechanisms leading to reproductive synchrony in a cannibalistic gull population.

Selected research publications:

• Ackleh, A. S. and Caswell, H. and Chiquet, R. A. and Tang, T. and Veprauskas, A., Sensitivity analysis of the recovery time for a population under the impact of an environmental disturbance, Nat. Resour. Model., 32 (2019) no. 1,e12166, 22.
• Veprauskas, A., Synchrony and the dynamic dichotomy in a class of matrix population models, SIAM J. Appl. Math., 78 (2018) no. 5,2491--2510.
• Veprauskas, Amy and Ackleh, Azmy S. and Tang, Tingting, Examining the effect of reoccurring disturbances on population persistence with application to marine mammals, J. Theoret. Biol., 455 (2018),109--117
• Veprauskas, A., A nonlinear continuous-time model for a semelparous species, Math. Biosci., 297 (2018),1--11.
• Cushing, J. M. and Martins, F. and Pinto, A. A. and Veprauskas, Amy, A bifurcation theorem for evolutionary matrix models with multiple traits, J. Math. Biol., 75 (2017) no. 2,491--520.
• Veprauskas, Amy and Cushing, J. M., A juvenile-adult population model: climate change, cannibalism, reproductive synchrony, and strong Allee effects, J. Biol. Dyn., 11 (2017) suppl. 1,1--24.
• Veprauskas, Amy and Cushing, J. M., Errata: Evolutionary dynamics of a multi-trait semelparous model, Discrete Contin. Dyn. Syst. Ser. B, 21 (2016) no. 3,1023--1026.
• Veprauskas, Amy and Cushing, J. M., Evolutionary dynamics of a multi-trait semelparous model, Discrete Contin. Dyn. Syst. Ser. B, 21 (2016) no. 2,655--676.
• Blanchet-Sadri, Francine and Simmons, Sean and Tebbe, Amelia and Veprauskas, Amy, Abelian periods, partial words, and an extension of a theorem of Fine and Wilf, RAIRO Theor. Inform. Appl., 47 (2013) no. 3,215--234.