一类随机时滞捕食模型持久性与渐近稳定性的研究

Permanence and Global Asymptotic Stability of a Stochastic Predator-prey Model with Time Delay

主要研究具有随机时滞捕食与被捕食者模型的持久性和全局渐近稳定性,通过运用埃托奥公式和蒂尼导数,可以得到满足模型持久性与全局渐近稳定性的充分条件,此外根据这些充分条件我们可以发现扰动项也就是白噪声强度对模型的持久性产生了很大的影响,然而,对全局渐近稳定性没有影响.

The main purpose of this paper concerns the permanence and global asymptotic stability of a stochastic predator-prey model with time delay.By the It＇s formula and Dini derivative,sufficient conditions which guarantee the permanence and global asymptotic stability of the system are obtained.Moreover,according to the conditions,we find that the disturbance term,which is the intensity of white noise,has a negative impact on permanence,but in any case,it makes no difference on global asymptotic stability.