Colloquium Jan. 6, 3-4pm NS 212C

Speaker :             Dr. Dang Nguyen, University of Alabama

Date:                   January 6, 2020 (Monday)

Time:                   3:00 – 4:00 pm

Room:                 NS 212C

Title:  Persistence and Extinction of Stochastic Kolmogorov Systems.  

Abstract:

In recent years there has been a growing interest in the study of the dynamics of stochastic populations. A key question in population biology is to understand the conditions under which populations coexist or go extinct. Theoretical and empirical studies have shown that coexistence can be facilitated or negated by both biotic interactions and environmental fluctuations. We study the dynamics of n populations that live in a stochastic environment and which can interact nonlinearly (through competition for resources, predator-prey behavior, etc.). The environmental variation is modeled by white noise and/or color noise.  We give sharp conditions under which the populations converge exponentially fast to their unique stationary distribution as well as conditions under which some populations go extinct exponentially fast.  Examples are also given to illustrate how stochasticity can facilitate or inhibit persistence of populations. 

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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