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Zbl 1238.92055
Yagi, Atsushi; Ton, Ta Viet
Dynamic of a stochastic predator-prey population. (English)
[J] Appl. Math. Comput. 218, No. 7, 3100-3109 (2011). ISSN 0096-3003

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 {\it B.G. Zhang} and {\it K. Gopalsamy}, Stochastic Anal. Appl. 18, No. 2, 323--331 (2000; Zbl 0983.92023).

MSC 2000:: *92D40 Ecology
60H10 Stochastic ordinary differential equations
34F05 ODE with randomness

Keywords: moment boundedness; asymptotic behaviour

Citations: Zbl 0983.92023

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