Upcoming Events For Applied Math Seminar

Thu Oct 25, 2018

ACMS Applied Math Seminar: Amy Veprauskas

3:30 PM - 4:30 PM
154 Hurley Hall

Amy Veprauskas
University of Louisiana

3:30 PM
154 Hurley Hall

 

"Examining Population Recovery and Persistence Following Environmental Disturbances"

We develop non-autonomous matrix models to examine the possible long-term effects of environmental disturbances, such as oil spills, floods, and fires, on population recovery and persistence. To model the effects of a disturbance, we assume vital rates are reduced for a period of time, after which they recover to their original values. We first examine population recovery following a single disturbance, where recovery is defined to be the return to the pre-disturbance population size. We apply matrix calculus methods to derive explicit formulas for the sensitivity of the recovery time with respect to properties of the population and the disturbance. We then develop a model to consider the effect of repeated disturbances on population persistence. This model uses a two-state Markov chain to describe the frequency and average length of effect of the disturbances. We derive an approximation for a population’s stochastic growth rate in order to examine how disturbances may impact species persistence. Motivated by the 2010 Deepwater Horizon oil spill, we apply the results of both models to examine the possible response of a sperm whale population to environmental disturbances.

Posted In: Applied Math Seminar

Thu Nov 8, 2018

ACMS Applied Math Seminar: Jeff Schenker

3:30 PM - 4:30 PM
154 Hurley Hall

Jeff Schenker
Michigan State University
 

3:30 PM
154 Hurley Hall

 

"Random Walk Models adn Applied Chemical Ecology or How Big Is A Lattice Point"

Hitting probabilities play a key role in a theory of insect trapping developed in recent years using a combination of random walk models and field experiments. The goal of this theory, which is still under development, is to provide a sound scientific framework for farmers and pest managers to make decisions about when to apply chemical pesticides based on numbers of pests captured in monitoring traps. In this talk I will briefly describe the scientific background briefly and then turn to the mathematical story of the associated random walk models.

Posted In: Applied Math Seminar