【摘要】 在考虑有随机干扰的情况下,对基于比率依赖的两种群捕食者-食饵系统的性质进行了研究。首先通过随机微分方程理论建立此系统的随机模型,并利用构造V函数,结合停时、常用不等式、Itö公式等技巧和方法对此系统的性质进行了讨论。最后,在假设条件下,得到了基于比率依赖的两种群捕食者-食饵系统的随机最终有界、解的渐近矩估计和轨道估计等性质。更多还原

【Abstract】 A stochasitc models on predator-prey system of two species with ratio-dependence is studied.The property of stochastic ultimate boundedness,the asymptotic moment estimation and the pathwise estimation of the global solution are studied by five techniques,including the theory on stochastic differential equation constructs stochasitc models,the V function,stopping time,some inequalties and It formula.更多还原