Virtual Math Colloq. Sept. 25 3:30pm

Friday, September 25 at 3:30pm, Virtual Room (Zoom Meeting ID: 754 716 1091)

"Can A Barrier Zone Stop Invasion of A Population?"
Dr. Bingtuan Li, University of Louisville


A barrier zone can be viewed as an area at the front of a population invasion where eradication or suppression activity is performed. The barrier zone concept of slowing or stopping range expansion has been implemented against a variety of species. In this talk, we will discuss mathematical models in terms of reaction-diffusions and integro-difference equations and investigate the effect of a barrier zone on invasion of a population with a strong Allee effect. We provide a formula for the critical width L* of barrier zone. We show that when a barrier zone is set at the front of a population, if the width of barrier zone is bigger than L* then the barrier zone can stop the population invasion, and if the width of barrier zone is less than L* then the population crosses the barrier zone and eventually occupies the entire space.

Institutional Accreditation:

The University of Louisville is accredited by the Commission on Colleges of the Southern Association of Colleges and Schools to award associate, bachelor, master, specialist, doctoral, and first-professional degrees (D.M.D., J.D., M.D.). Individuals who wish to contact the Commission on Colleges regarding the accreditation status of the university may write the Commission at 1866 Southern Lane, Decatur, Georgia 30033-4097, or call (404) 679-4500. See Accreditation Confirmation Letter for more Information.

University of Louisville, Department of Mathematics.
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