Date/Time
Date(s) - 20/03/2024
10:30 am - 11:20 am

Date/Time:  Wednesday, March 20, 2024 (10:30AM – 11:20AM)

Location:  HH 312

Speaker:  Sabrina Streipert (Assistant Professor, University of Pittsburgh)

Title:  Derivation and Analysis of Discrete Population Models with Delayed Growth

Abstract:  Discrete delay population models are often considered as a compromise between single-species models and more advanced age-structured population models. This talk is based on a recent work, where we provide a procedure for deriving discrete population models for the size of the adult population at the beginning of each breeding cycle and assume only adult individuals reproduce. This derivation technique includes delay to account for the number of breeding cycles a newborn individual remains immature and does not contribute to reproduction. These models include a survival probability (during the delay period) for the immature individuals, since these individuals have to survive to reach maturity and become members of what we consider the adult population. We discuss properties of this class of discrete delay population models and show that there is a critical delay threshold. The population goes extinct if the delay exceeds this threshold. We apply this derivation procedure to two well-known population models, the Beverton–Holt and the Ricker population model. We analyze their dynamics and compare it to existing delay models.

Dr. Streipert is an Assistant Professor at the University of Pittsburgh, who applies discrete mathematical models to biology. Specifically, she is interested in studying the ecological effects of intrinsic factors (such as evolution of traits, delay, and underlying time structure) and extrinsic factors (such as environmental fluctuations, harvest, and habitat loss). The current presentation is on joint work with Dr. Wolkowicz.