曲阜师范大学学报（自然科学版）2024，Vol.50Issue(1)：35-46,12.DOI:10.3969/j.issn.1001-5337.2024.1.035
具有Lévy跳的随机时滞食饵-捕食模型的最优收获
Optimal harvesting of a stochastic delays predator-prey model with Lévy jumps
摘要
Abstract
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.关键词
食饵-捕食/Lévy跳/时滞/最优收获策略Key words
predator-prey/Lévy jump/delay/optimal harvesting strategy分类
数理科学引用本文复制引用
钟颖,韦煜明..具有Lévy跳的随机时滞食饵-捕食模型的最优收获[J].曲阜师范大学学报（自然科学版）,2024,50(1):35-46,12.基金项目
国家自然科学基金(11961074). （11961074）
