This paper studies the stochastic predator-prey population model
where and are independent Brownian motions, , , , , , , , are positive constants, and , represent the populations of prey and predators, respectively. It is proved that the system has a unique positive solution whose mean is uniformly bounded. If and , then
is positive and is finite and positive a.s.; if , then and a.s.; and if and , then and is finite and positive a.s. Results of numerical simulations are presented to show that the populations exhibit this behavior.