【摘要】 在环境毒素对生物种群影响的经典模型基础上,引入布朗运动模拟客观存在的随机干扰因素,且考虑到延迟因素,从而构造了环境毒素对生物种群影响的随机延迟微分方程模型,并证明了该模型全局正解的存在性、随机有界性和渐近性质.更多还原

【Abstract】 On the basis of the classical models of the effect of environmental toxin to species population,the model of stochastic delay differential equations for the effect of environmental toxin to species population was constructed in the presence of Brown motion to simulate the objective stochastic factors and in consideration of the delay.The existence of the global positive solutions,stochastic boundedness and the asymptotic property was then given for such model.更多还原