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
钟颖 1韦煜明1
作者信息
- 1. 广西师范大学数学与统计学院,541004,广西壮族自治区桂林市
- 折叠
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.
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引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
维普
万方数据