STATIONARY DISTRIBUTION AND PERSISTENCE OF A STOCHASTIC PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE

Jingliang Lv; Heng Liu; Xiaoling Zou

doi:10.11948/2019.1

2019 Volume 9 Issue 1

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Jingliang Lv, Heng Liu, Xiaoling Zou. STATIONARY DISTRIBUTION AND PERSISTENCE OF A STOCHASTIC PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2019, 9(1): 1-11. doi: 10.11948/2019.1

Citation:

Jingliang Lv, Heng Liu, Xiaoling Zou. STATIONARY DISTRIBUTION AND PERSISTENCE OF A STOCHASTIC PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE[J]. Journal of Applied Analysis & Computation, 2019, 9(1): 1-11. doi: 10.11948/2019.1

STATIONARY DISTRIBUTION AND PERSISTENCE OF A STOCHASTIC PREDATOR-PREY MODEL WITH A FUNCTIONAL RESPONSE

1.
Department of Mathematics, Harbin Institute of Technology (Weihai), Wenhua Road, 264209, China

Corresponding author: Email address:ljl3188@163.com(J. Lv)
Fund Project: This work is supported by the National Natural Science Foundation of P. R. China (No. 11501148) and Shandong Provincial Natural Science Foundation (No. ZR2015AQ002)

Abstract

Abstract

A stochastic predator-prey model with a functional response is investigated in this paper. The asymptotic properties of the stochastic model are considered here. Under some conditions, we show that the stochastic model is persistent in mean. Moreover, the existence of stationary distribution to the model is obtained. Simulations are also carried out to confirm our analytical results.
- Predator-prey /
- stationary distribution /
- persistence in mean
MSC: 60H10, 60G10

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