stochastic environment

Monday, June 4, 2018 - 3:00pm - 3:30pm
Dang Hai Nguyen (Wayne State University)
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.
Monday, June 4, 2018 - 2:30pm - 3:00pm
Alexandru Hening (Tufts University)
We consider the harvesting of a population in a stochastic environment whose dynamics in the absence of harvesting is described by a one dimensional diffusion. Using ergodic optimal control, we find the optimal harvesting strategy which maximizes the asymptotic yield of harvested individuals.
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