Impulsive fishery resource transporting strategies based on an open‐ended stochastic growth model having a latent variable

In inland fisheries, transporting fishery resource individuals from a habitat to spatially apart habitat(s) has recently been considered for fisheries stock management in the natural environment. However, its mathematical optimization, especially finding when and how much of population should be transported, is still fundamental unresolved issue. We propose new impulse control framework tackle this issue based on simple but stochastic growth model individual fishes. The novel governing individuals' body weights uses Wright–Fisher as latent driver reproduce plausible dynamics. optimization problem formulated an cost–benefit functional constrained by degenerate parabolic Fokker–Planck equation Because dynamics have observable variable unobservable (a difficult or impossible observe), we consider both full-information partial-information cases. latter more involved realistic because not explicitly using designing controls. cases, resolving reduces solving associated adjoint equations, being nontrivial. present derivation procedure internal boundary conditions time efficiently derive optimal strategy. finally provide demonstrative computational example Ayu sweetfish Plecoglossus altivelis latest real data set.