We analyze the problem of an integrated management of fisheries by using fish farming as a tool for restocking fish populations depleted by overfishing pressure. We first use a simple heuristic dynamic model, taken from a classical example of mathematical bioeconomics, in order to prove that fish restocking may be an efficient tool for sustainable fishery management in situations where excessive fishing effort is going to cause irreversible stock collapse. Then we propose a two-compartments bieconomic mathematical model, with age structure and age specific harvesting and restocking, to mimic integrated interactions between aquaculture and open sea fisheries, where reared fish are used as substitutes for marine catches. The model proposed in this paper... |