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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) Zbl 1216.34040

J. Math. Anal. Appl. 377, No. 1, 435-440 (2011).
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.
Reviewer: Toader Morozan (Bucureşti)

Cited in 59 Documents

MSC:

34C60 Qualitative investigation and simulation of ordinary differential equation models
34F05 Ordinary differential equations and systems with randomness
92D25 Population dynamics (general)

Keywords:

Itô formula; stationary distribution; ergodicity
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\textit{C. Ji} et al., J. Math. Anal. Appl. 377, No. 1, 435--440 (2011; Zbl 1216.34040)
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References:

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