广西师范大学学报（自然科学版） ›› 2024, Vol. 42 ›› Issue (3): 141-150.doi: 10.16088/j.issn.1001-6600.2023060701

• 研究论文 • 上一篇    下一篇

具有Beddington-DeAngelis型功能性反应的随机时滞捕食-被捕食系统

黄开娇1,2, 肖飞雁1*   

  1. 1.广西师范大学 数学与统计学院, 广西 桂林 541006;
    2.广西民族大学 数学与物理学院, 广西 南宁 530006
  • 收稿日期:2023-06-07 修回日期:2023-08-11 发布日期:2024-05-31
  • 通讯作者: 肖飞雁(1973—), 女(土家族), 湖南张家界人, 广西师范大学教授, 博士。 E-mail: fyxiao@gxnu.edu.cn
  • 基金资助:
    广西自然科学基金(2022JJA110062, 2023GXNSFBA026009); 广西民族大学引进人才科研启动项目(2022KJQD06)

A Stochastic Predator-prey Model with Beddington-DeAngelis Functional Response and Time Delay

HUANG Kaijiao1,2, XIAO Feiyan1*   

  1. 1. School of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China;
    2. School of Mathematics and Physics, Guangxi Minzu University, Nanning Guangxi 530006, China
  • Received:2023-06-07 Revised:2023-08-11 Published:2024-05-31

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摘要： 本文研究一类具有Beddington-DeAngelis型功能性反应的随机时滞捕食-被捕食系统。利用Lyapunov函数、It公式等证明该系统存在唯一全局正解和随机最终有界性,得到全局渐近稳定性的充分条件。利用Milstein方法进行数值模拟,验证系统的全局渐近稳定性。

关键词: 捕食-被捕食系统, Beddington-DeAngelis型功能性反应, 随机最终有界性, 全局渐近稳定性

Abstract: In this paper, a stochastic delayed predator-prey model with Beddington-DeAngelis functional response is studied. Sufficient criteria for global existence, stochastically ultimately bounded and global asymptotic stability of the positive equilibrium are obtained. Numerical simulations are carried out to illustrate the analytical results.

Key words: predator-prey model, Beddington-DeAngelis functional response, stochastically ultimately bounded, global asymptotic stability

中图分类号:  O175

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