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Spatiotemporal pattern formation in a pollen tube model with nonlocal effect and time delay?
被引:4
|作者:
Shi, Qingyan
[1
]
Song, Yongli
[2
]
机构:
[1] Jiangnan Univ, Sch Sci, Wuxi 214122, Jiangsu, Peoples R China
[2] Hangzhou Normal Univ, Sch Math, Hangzhou 311121, Zhejiang, Peoples R China
基金:
中国国家自然科学基金;
关键词:
Pollen tube;
Nonlocal effect;
Time delay;
Hopf bifurcation;
Turing-Hopf;
Double Hopf;
PREDATOR-PREY MODEL;
TIP GROWTH;
GTPASE;
DYNAMICS;
STABILITY;
LEADS;
D O I:
10.1016/j.chaos.2022.112798
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The dynamics of a pollen tube model with nonlocal effect and time delay is investigated in this paper. Compared with the model without delay, a double Hopf bifurcation due to the interaction of homogeneous and nonhomogeneous Hopf bifurcations can occur and quasi periodic patterns can be observed. Besides, the interaction of Turing bifurcation and spatially nonhomogeneous Hopf bifurcation will lead to some new spatiotemporal patterns.
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页数:9
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