|本期目录/Table of Contents|

[1]陈超,李智勇.具有阶段结构的随机Beddington-DeAngelis捕食模型的动力学分析[J].集美大学学报(自然科学版),2025,(6):544-550.
　CHEN Chao,LI Zhiyong.Dynamics of a Stochastic Beddington-DeAngelis Predator-Prey Model with Stage Structure for Predator[J].Journal of Jimei University,2025,(6):544-550.
点击复制

具有阶段结构的随机Beddington-DeAngelis捕食模型的动力学分析(PDF)
分享到：

《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
期数:
2025年第6期
页码:
544-550
栏目:
水产、食品与生物技术
出版日期:
2025-11-25

文章信息/Info

Title:
Dynamics of a Stochastic Beddington-DeAngelis Predator-Prey Model with Stage Structure for Predator
作者:
陈超; 李智勇
（集美大学理学院，福建 厦门361021）
Author(s):
CHEN Chao; LI Zhiyong
(School of Science,Jimei University,Xiamen 361021,China)
关键词:
Beddington-DeAngelis; 阶段结构; 平稳分布; 捕食模型
Keywords:
Beddington-DeAngelis; stage structure; stationary distribution; predator-prey model
分类号:
-
DOI:
-
文献标志码:
A
摘要:
研究一类具有阶段结构的随机Beddington-DeAngelis捕食模型的动力学行为。通过构造李雅普诺夫函数证明了模型存在唯一的全局正解，且给出了模型存在唯一遍历的平稳分布和捕食者灭绝的充分条件。最后，通过数值模拟验证了结论的可行性和有效性。
Abstract:
This paper concentrates on dynamics of a stochastic Beddington-DeAngelis predator-prey model with stage structure for predator.By constructing Lyapunov functions，we establish sufficient conditions for the existence of a unique global positive solution.Then we extend the existence of stationary distribution under certain parametric restrictions and obtain the sufficient conditions for extinction of the predators.Finally, the feasibility and validity of the conlusion were verified through numerical simulations.

参考文献/References:

相似文献/References:

[1]赵姣,张树文.环境污染下有脉冲的阶段结构捕食-食饵系统[J].集美大学学报(自然科学版),2013,18(3):213.
　ZHAO Jiao,ZHANG Shuwen.Analysis of a Stage-structured Predator-prey System with Impulsive Effects in a Polluted Environment[J].Journal of Jimei University,2013,18(6):213.
[2]张瑞敏,魏春金.具有阶段结构的随机捕食-食饵模型[J].集美大学学报(自然科学版),2023,28(3):267.
　ZHANG Ruimin,WEI Chunjin.Stochastic Predator-Prey System with Stage Structure[J].Journal of Jimei University,2023,28(6):267.

备注/Memo

备注/Memo:
更新日期/Last Update: 2025-12-22