摘要
本文研究了一类具有时滞的随机捕食-食饵系统,证明了系统全局正解的存在性和系统的解的随机最终有界性,确定了系统灭绝和平均持续生存的充分条件.最后,用数值模拟验证理论结果的正确性.
A stochastic predator-prey model with time delay is studied in this paper.Firstly,we prove the existence of a global position solution of the considered system and stochastically ultimate boundedness of the solution.Furthermore,the sufficient conditions for persistent in the mean and extinction of each populations are obtained.Finally,numerical simulations are carried out to support our results.
出处
《生物数学学报》
2015年第2期289-298,共10页
Journal of Biomathematics
基金
国家自然科学基金(31272653
11301216)
关键词
平均持续生存
随机最终有界
灭绝
全局正解
Persistent in the mean
Stochastically ultimate boundedness
Extinction
Global positive solution
