一类具有阶段结构的随机捕食与被捕食模型的全局稳定性分析

白宏芳, 徐瑞

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

数学季刊 >

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

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

一类具有阶段结构的随机捕食与被捕食模型的全局稳定性分析

展开

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.

收稿日期: 2015-10-05

网络出版日期: 2020-10-20

基金资助

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

收起

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

Expand

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)；

Fold

摘要

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.

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

本文引用格式

白宏芳, 徐瑞 . 一类具有阶段结构的随机捕食与被捕食模型的全局稳定性分析[J]. 数学季刊, 2017 , 32(4) : 425 -431 . DOI: 10.13371/j.cnki.chin.q.j.m.2017.04.009

Abstract

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

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract