Year: 2021
Type: article
Abstract: We investigate certain two species ODE and PDE Lotka--Volterra competition models, where one of the competitors could potentially go extinct in finite time. We show that in this setting, various novel dynamics are possible. In particular competitive exclusion can be avoided, and the slower diffusing competitor may not win. Numerical simulations are performed to corroborate our analytical findings.
DOI: 10.1137/20m1387274
Authors: Rana D. Parshad, Kwadwo Antwi-Fordjour, Eric M. Takyi
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: National Science Foundation
OpenAlex ID: W3047074201