摘要
种群生态系统经常会遇到环境白噪声的干扰。基于此,提出一类具有随机扰动的食饵-捕食系统,该系统含有改进的时滞Leslie-Gower和HollingⅡ型功能性反应函数。利用随机微分方程比较原理和伊藤公式,分别得到该系统正解的存在唯一性和该解的p阶矩上界,最终通过构造Lyapunov泛函,证明了该解依期望全局渐近稳定。最后,以状态图和相图两种仿真图形,对理论结果进行了验证说明。
Species ecology systems are often subject to environment white noises.Because of this result,a prey-predator system with random perturbation is investigated,which is also based on a modified version of the Lesile-Gower and Holling Ⅱ schemes with time delay.By applying a comparison theorem for stochastic differential equations and It＇s formula,a unique positive global solution and its pth moment＇s upper bound are obtained respectively.And then its global symptotical stability is proved by constructing Lyapunov functional.Finally,two types of numerical simulations,state portrait and phase portrait,are presented to illustrate the correctness of the proposed theory.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2011年第2期385-389,共5页
Systems Engineering and Electronics
基金
国家自然科学基金(60874114)
青年科学基金(60904032)资助课题
关键词
随机
伊藤公式
全局渐近稳定
random
It＇s formula
global symptotical stability
