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Some Novel Results in Two Species Competition
Rana D. Parshad, Kwadwo Antwi-Fordjour, Eric M. Takyi
Source 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.
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