Global Stability of A Stochastic Predator-prey Model with Stage-structure

BAI Hong-fang, XU Rui

doi:10.13371/j.cnki.chin.q.j.m.2017.04.009

Chinese Quarterly Journal of Mathematics >

2017 , Vol. 32 >Issue 4: 425 - 431

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.04.009

Global Stability of A Stochastic Predator-prey Model with Stage-structure

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Basic Department of Military and Politics, Army Engineering University of PLA,Shijiazhuang campus

BAI Hong-fang(1982-), female, native of Baoji, Shaanxi, a lecturer of Shijiazhuang Mechanical Engineering College, M.S.D., engages in nonlinear dynamic system.

Received date: 2015-10-05

Online published: 2020-10-20

Supported by

Supported by the National Natural Science Foundation of China(Nos.11371368)； The Natural Science Foundation of HeBei(No.A2014506015)；

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Abstract

In this paper, a stochastic predator-prey model with stage structure for predator and ratio-dependent functional response is concerned. Sufficient conditions for the global asymptotic stability of positive equilibrium are established. Some numerical simulations are carried out to illustrate the theoretical results.

Key words： stochastic predator-prey model stage-structure global stability; Ito^{^}'s formula

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BAI Hong-fang, XU Rui . Global Stability of A Stochastic Predator-prey Model with Stage-structure[J]. Chinese Quarterly Journal of Mathematics, 2017 , 32(4) : 425 -431 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.04.009

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