Amy Veprauskas

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.

• 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.