Optimal harvesting strategy of a stochastic inshore–offshore hairtail fishery model driven by Lévy jumps in a polluted environment

Abstract

With the increasing demand for aquatic products all over the world, exploring the interactions between inshore and offshore fisheries is one of the meaningful issues to help boost yield and meet immediate protein needs. However, pollution and environmental fluctuations (fishery trading market, ocean meteorological factors) may seriously affect the optimal harvesting strategy of the interaction between inshore and offshore components of the fishery. In response to this problem, we present a stochastic inshore–offshore fishery model in a polluted environment, which incorporates harvesting efforts subjected to Levy jumps and environmental toxicant influence. By virtue of the ergodic methods, the optimal harvesting effort and maximum expectation of sustainable yields are established. Using the hairtail fisheries in the East China Sea as a case study, numerical simulations are carried out to support the theoretical results. These results show that the diffusion between inshore and offshore fisheries, Levy jumps noise and environmental toxicant input may significantly affect the optimal harvesting strategy, which can provide suggestions for effective measures to increase the aquatic products and guide harmonious development of inshore and offshore aquaculture.