A Mixed Optimal Control Approach for Upstream Fish Migration

  title={A Mixed Optimal Control Approach for Upstream Fish Migration},
  author={Hidekazu Yoshioka and Tomoyuki Shirai and Daisuke Tagami},
  journal={Journal of Sustainable Development of Energy, Water and Environment Systems},
  • H. YoshiokaT. ShiraiD. Tagami
  • Published 30 March 2019
  • Environmental Science
  • Journal of Sustainable Development of Energy, Water and Environment Systems
This paper proposes a simple mathematical model forupstream fish migration along rivers. The model describes the fish migration along a river based on a mixed optimal control approach having swimming velocity, school size, and stopping time of migration as control variables. The optimization problem reduces to a variational inequality. Its explicit “viscosity” solution is presented with the dependence of the fish migration on river environment. To prove uniqueness of the solution to the… 

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