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Zbl 1216.34040
Ji, Chunyan; Jiang, Daqing; Shi, Ningzhong
A note on a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation. (English)
[J] J. Math. Anal. Appl. 377, No. 1, 435-440 (2011). ISSN 0022-247X

The authors prove that there is a stationary distribution of a predator-prey model with modified Leslie-Gower and Holling-type schemes with stochastic perturbations and it has the ergodic property.
[Toader Morozan (Bucureşti)]
MSC 2000:
*34C60 Applications of qualitative theory of ODE
34F05 ODE with randomness
92D25 Population dynamics

Keywords: Itô formula; stationary distribution; ergodicity

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