摘要
研究了一类两种群随机Lotka-Volterra捕食-食饵模型.在适当的环境噪音假设下,证明了此系统存在唯一正的全局解,并且这个解是随机最终有界的.
A class of two species stochastic Lotka-Volterra predator-prey system is discussed. We show that, under a suitable hypothesis on the environmental noise, the stochastic Lotka-Volterra system has a unique global positive solution and this positive solution will be stochastically ultimately bounded.
出处
《新疆大学学报（自然科学版）》
CAS
2013年第3期310-312,共3页
Journal of Xinjiang University(Natural Science Edition)
基金
supported by the National Natural Science Foundation of P.R.China(Grant Nos.11271312,11261058)
the China Postdoctoral Science Foundation(Grant Nos.20110491750)
the Natural Science Foundation of Xinjiang(Grant Nos.2012211B07,2011211B08)
关键词
随机捕食-食饵系统
伊藤公式
随机最终有界
Stochastic Lotka-Volterra predator-prey system
Ito formula
stochastically ultimately boundedness
