Optimal Harvesting versus Chaos in Population Dynamics

The dynamics of fish populations, even for simple classes of reproductive functions, can be quite complex (up to the manifestation of chaotic regimes). The following problem arises: how will the population behavior change when optimal long-term fishing is imposed on it? The fundamental properties of the corresponding annual catch are defined and justified. On their basis, for the first time, an unexpected result was strictly substantiated: population dynamics are greatly simplified under optimal fishing, and, in particular, chaos is transformed into a monotonic tendency of fish numbers to balance.