研究一类比率依赖的两种群捕食者一食饵系统的随机模型。利用随机微分方程理论,通过构造Lyapunov泛函,并结合停时分析、不等式构造等技巧,证明了比率依赖的两种群捕食者一食饵随机系统整体解的存在唯一性,整体解的有界性与渐近性质。
A class of predator-prey system of two species with ratio-dependence is studied. According to the theory on stochastic differential equation, by constructing the Lyapunov function, and combining with stopping time and some analysis techniques, the existence and uniqueness of global solution for the system are proved. The boundedness and asymptotic estimate of the global solution are also discussed.