Event Type:

Mathematical Biology Seminar

Date/Time:

Friday, October 7, 2022 - 11:00 to 11:50

Location:

Kidder 108H

Guest Speaker:

Institution:

University of Louisiana Lafayette

Abstract:

The complexity of eco-evolutionary dynamics has challenged researchers to classify patterns in rapidly evolving ecosystems, for example in HIV infection, where the virus undergoes frequent mutations to escape several immune responses. Here, we develop a framework to connect evolutionary genetics with population dynamics by analyzing a resource-prey-predator network differential equation model with binary sequence representations of prey fitness and susceptibility to predation. We prove that bifurcations are determined and simplified by a measure of nonlinearity (epistasis) in the prey fitness landscape. The results decipher stability, structure and invasion of different equilibrium ecosystems based on a binary sequence algebra, and are applied to provide insight on virus immune escape.

Host: