TTMS35. Stochastic Kolmogorov systems from a dynamical system point of view
Dr. Hai-Dang Nguyen, University of Alabama (Tuscaloosa)
Email: [email protected]
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. Our models are described by n-dimensional Kolmogorov systems with random noise. This talk discuss the long-term properties of stochastic Kolmogorov systems from a dynamical system point of view and give sharp conditions for extinction and coexistence.