Hopf Bifurcation Analysis of a Diffusive Nutrient-Phytoplankton Model with Time Delay

被引：4
|
作者：
Yang, Ruizhi [1 ]
Wang, Liye [1 ]
Jin, Dan [1 ]
机构：
[1] Northeast Forestry Univ, Dept Math, Harbin 150040, Peoples R China
来源：
AXIOMS | 2022年 / 11卷 / 02期
关键词：
delay; diffusion; hopf bifurcation; nutrient-phytoplankton model; PLANKTON BLOOM; DYNAMICS; TOXIN;
D O I：
10.3390/axioms11020056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we studied a nutrient-phytoplankton model with time delay and diffusion term. We studied the Turing instability, local stability, and the existence of Hopf bifurcation. Some formulas are obtained to determine the direction of the bifurcation and the stability of periodic solutions by the central manifold theory and normal form method. Finally, we verify the above conclusion through numerical simulation.
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页数：15
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