污染环境下一类随机双向Consumer-Resource系统的稳定性

Stability of a Stochastic Bi-Directional Consumer-Resource System in a Polluted Environment

研究了污染环境中具有时滞的随机双向Consumer-Resource系统.通过构造合适的李雅普诺夫函数,得到了该系统全局正解的存在唯一性和平衡点的全局渐近稳定性.

In this paper,we consider a stochastic bi-directional consumer-resource system with time delays in a polluted environment.By constructing suitable Lyapunov functions,we obtain the existence and uniqueness of global positive solution and global asymptotic stability.Finally,numerical simulations are given to illustrate our conclusions.