Optimal Harvesting of Stochastic Population Models with Periodic Coefficients

For stochastic population models with periodic coefficients, traditional approaches used to study the optimal harvesting problems of autonomous stochastic models are invalid due to the inhomogeneity of the models. The aim of this report is to search for a workable way. By using the stochastic periodic solution of the model as a bridge, we obtain the explicit forms of the optimal harvesting effort and the maximum sustained yield for a periodic stochastic Gompertz model. This approach, which can also be used to research multi-species models, offers a possible way to explore the optimal harvesting of periodic stochastic population models.