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.
机构:
Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Li, Zhenzhen
Dai, Binxiang
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h-index: 0
机构:
Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
Dai, Binxiang
Han, Renji
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机构:
Zhejiang Univ Sci & Technol, Sch Sci, Hangzhou 310023, Zhejiang, Peoples R ChinaCent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Hunan, Peoples R China
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
Li, Dong
Guo, Shangjiang
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机构:
Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R ChinaHunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
机构:
Beijing Normal Univ, Sch Math Sci, Beijing, Peoples R China
Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Beijing, Peoples R China
机构:
Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R ChinaJiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
Zhou, Haihua
Song, Huijuan
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机构:
Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R ChinaJiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China
Song, Huijuan
Wang, Zejia
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机构:
Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R ChinaJiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Jiangxi, Peoples R China