Optimal harvesting of a stochastic delays predator-prey model with Lévy jumps
The harvesting strategy of the delayed predator-prey model with Lévy jumps is studied.The sufficient conditions for the average persistence and extinction of species are analyzed by using the compari-son principle,and the distributional stability of the model is proved under certain assumptions.The condi-tions for the existence of the optimal harvesting strategy are established by using the ergodicity method,and the optimal fishing effort and maximum sustained yield are obtained.Finally,the theoretical results are verified by numerical simulations.
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