北华大学学报（自然科学版）Issue(6)：709-714,6.DOI:10.11713/j.issn.1009-4822.2014.06.002
一类具有额外食饵补充的随机捕食模型动力学行为分析
Stochastic Perturbation Dynamic Behavior Analysis of Additional Food Provided Predator-prey System
摘要
Abstract
We consider an additional food provided predator-prey system with stochastic perturbation. There exists a unique positive solution of the system with positive initial value, and the existence of the stochastic model stationary distribution is proved. Moreover, the conditions for the system to be extinct are given and the conclusions are verified by numerical simulation.关键词
随机捕食模型/Lyapunov函数/伊藤公式/平稳分布/绝灭性Key words
stochastic predator-prey system/Lyapunov function/Ito’ s formula/stationary distribution/extinction分类
数理科学引用本文复制引用
黄晓鑫,张天四..一类具有额外食饵补充的随机捕食模型动力学行为分析[J].北华大学学报（自然科学版）,2014,(6):709-714,6.基金项目
国家自然科学基金项目(11271260) （11271260）
上海市教委科研创新重点项目(13ZZ116) （13ZZ116）
