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

作　　者：钟颖 韦煜明 ZHONG Ying;WEI Yuming(College of Mathematics and Statistics,Guangxi Normal University,541006,Guilin,Guangxi,PRC)

机构地区：[1]广西师范大学数学与统计学院,广西壮族自治区桂林市541004

出　　处：《曲阜师范大学学报（自然科学版）》2024年第1期35-46,共12页Journal of Qufu Normal University(Natural Science)

基　　金：国家自然科学基金(11961074)。

摘　　要：研究了一类带Lévy跳的时滞食饵-捕食模型的捕捞策略.利用比较原理分析物种平均持久性和灭绝性的充分条件,在一定假设条件下证明了该模型分布的稳定性,运用遍历法建立最优收获策略存在的条件,得到了最优捕捞努力量和最大持续产量.最后通过数值模拟验证理论结果.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 comparison principle,and the distributional stability of the model is proved under certain assumptions.The conditions 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 

分 类 号：O175.6[理学—数学]