Mathematical Sciences Colloquium presents Dr. Hai Dang Nguyen Conference/Lecture Friday, November 13, 2020 The event started -1407 days agoMultiday event - 0 days 3:00 PM 4:00 PM Online Zoom UNIVERSITY OF ALABAMA IN HUNTSVILLE MATHEMATICAL SCIENCES COLLOQUIUM Dr. Hai Dang Nguyen Department of Mathematics University of Alabama Tuscaloosa Persistence and Extinction of Some Stochastic Kolmogorov Systems We consider asymptotic behaviors of some interacting populations in a fluctuating environment, which are described by Kolmogorov systems with white noise (stochastic differential equations). By analyzing the dynamics of the solution near the boundary and by determining Lyapunov exponents with respect to invariant probability measures on the boundary, we obtain conditions for both persistence and extinction of species. The conditions are sharp in the sense that only critical cases remain unsolved. We also estimate rates of convergence and have some comments on degenerate systems. Email mathadmin@uah.edu for Zoom link and passcode. Details Category Conference/Lecture department College of Science, Department of Mathematical Sciences Audience Public, Students, Faculty and Staff, Alumni Contact This email address is being protected from spambots. You need JavaScript enabled to view it. Venue OnlineView map More Dates SHARE