Analysis Of A Two-Population Combined Keller-Segel Lotka-Volterra Model in Strong Competition

by Jeremy Mysliwiec
We study a two-population model of bacterial competition that incorporates spatial movement via chemotaxis by coupling Lotka-Volterra competition dynamics with the Keller-Segel chemotaxis model into a system of three partial differential equations. We show that the spatial dynamics allow for coexistence of the populations even when the space-free system excludes this outcome. Finally, we show that by varying competitive strength and chemotactic sensitivity, three distinct outcomes are possible: competitive exclusion, temporally-stable coexistence, and oscillatory coexistence.
Engineering Science and Applied Mathematics
Exhibition Category: 
Health and Life Sciences
Exhibition Format: 
Poster Presentation
University Park
Faculty Sponsor: 
Glenn Young
Alumni Hall, HUB-Robeson Center
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