Asymptotic harvesting of populations in random environments.

  title={Asymptotic harvesting of populations in random environments.},
  author={Alexandru Hening and Dang H. Nguyen and Sergiu C Ungureanu and Tak Kwong Wong},
  journal={Journal of mathematical biology},
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. To our knowledge, ergodic optimal control has not been used before to study harvesting strategies. However, it is a natural framework because the optimal harvesting strategy will never be such that the… CONTINUE READING