一类具有随机扰动的Schoner竞争系统的渐近性质

摘要

In this paper,a Schoner competitive system with stochastic perturbations is studied.By applying It(o)'s integral formula,Lyapunov's method in the stochastic differential equations,sufficient conditions for the existence and the uniqueness of global positive solutions,the global asymptotic stability of the positive equilibrium are derived.Finally,numerical simulations are also given with the help of Madab software,the results of which in turn support the previous theoretical results from the other side.%对一类具有随机扰动的Schoner竞争系统进行了研究,利用随机微分方程中It6积分公式、Lyapunov方法等理论得到了系统全局正解的存在唯一性以及系统正平衡点的全局渐近稳定性.最后,借助Maflab数学软件对所得的理论结果进行数值模拟与仿真,仿真结果进一步佐证了理论分析的正确性.