|本期目录/Table of Contents|

[1]陈珂昕,魏春金.具有环境毒素影响的时滞浮游植物模型的动力学行为[J].集美大学学报(自然科学版),2025,(5):448-458.
　CHEN Kexin,WEI Chunjin.Dynamic Behavior of a Delayed Phytoplankton Model with Environmental Toxins[J].Journal of Jimei University,2025,(5):448-458.
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具有环境毒素影响的时滞浮游植物模型的动力学行为(PDF)
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
期数:
2025年第5期
页码:
448-458
栏目:
水产、食品与生物技术
出版日期:
2025-09-28

文章信息/Info

Title:
Dynamic Behavior of a Delayed Phytoplankton Model with Environmental Toxins
作者:
陈珂昕; 魏春金
(集美大学理学院，福建 厦门 361021)
Author(s):
CHEN Kexin; WEI Chunjin
(School of Sciences,Jimei University,Xiamen 361021,China)
关键词:
浮游植物; 平衡点; Hopf分支; 时滞
Keywords:
phytoplankton; equilibria; hopf bifurcation; time delay
分类号:
-
DOI:
-
文献标志码:
A
摘要:
主要讨论具有环境毒素影响的时滞浮游植物模型的动力学行为，证明对于任意给定的非负初始值,模型的解是非负且有界的。讨论模型平衡点的存在性和稳定性条件,以时滞τ作为分支参数,研究Hopf分支的存在性；进一步利用规范型理论和中心流行定理,得到Hopf分支稳定性和方向等。最后用数值模拟验证理论结果。
Abstract:
In this paper,we mainly discuss the dynamic behavior of a delayed phytoplankton model with the influence of environmental toxins.It is shown that for any given non-negative initial value,the solution of the model is non-negative and bounded.The stability conditions and existence of the equilibria of the model are discussed,and the existence of the Hopf bifurcation is studied with the delay τ as the bifurcation parameter.Further,the stability and direction of the Hopf bifurcation are obtained by using the Normal Form Theory and the Center Manifold Theorem.Finally,the theoretical results are verified by numerical simulation.

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备注/Memo

备注/Memo:
更新日期/Last Update: 2025-11-02