Dynamic of a stochastic predator-prey population. (English) Zbl 1238.92055

Summary: A stochastic predator-prey model is studied. First we prove the existence, uniqueness and positivity of solutions. Then we show the upper bounds for the moments and the growth rate of the population. In some cases, the growth rate is negative and the population dies out rapidly. The paper ends with some reviews of the paper of B.G. Zhang and K. Gopalsamy, Stochastic Anal. Appl. 18, No. 2, 323–331 (2000; Zbl 0983.92023).


92D40 Ecology
60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
34F05 Ordinary differential equations and systems with randomness


Zbl 0983.92023
Full Text: DOI


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