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Stability of a Paddy Ecosystem with Time Delay

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成果类型:
会议论文
作者:
Wang, Yi;Zhou, Xiaoli;Wu, Zhaohua;Zhou, Tiejun*
通讯作者:
Zhou, Tiejun
作者机构:
[Wang, Yi; Zhou, Xiaoli; Wu, Zhaohua; Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
通讯机构:
[Zhou, Tiejun] H
Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
语种:
英文
关键词:
paddy ecosystem;delay;equilibrium;stability;Hopf bifurcation
期刊:
PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING AND STATISTICS APPLICATION (AMMSA 2017)
ISSN:
1951-6851
年:
2017
卷:
141
页码:
72-76
会议名称:
International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA)
会议论文集名称:
Advances in Intelligent Systems Research
会议时间:
MAY 21-22, 2017
会议地点:
Beijing, PEOPLES R CHINA
会议主办单位:
[Wang, Yi;Zhou, Xiaoli;Wu, Zhaohua;Zhou, Tiejun] Hunan Agr Univ, Coll Sci, Changsha 410128, Hunan, Peoples R China.
主编:
Harish, BS Rojas, AL Weller, K
出版地:
29 AVENUE LAVMIERE, PARIS, 75019, FRANCE
出版者:
ATLANTIS PRESS
ISBN:
978-94-6252-355-5
基金类别:
supported in part by Hunan province science and technology project (grants 2015JC3101);Hunan province graduate student innovation training project (grants CX2015B265)
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
A delay differential equation model of paddy ecosystem was put forward to reveal the interaction among rice, weeds and inorganic fertilizer on the system. The results show that, the system exists a rice and weed extinction equilibrium, and it also exists a rice extinction or weed extinction equilibrium. Their stable and unstable conditions are obtained. Moreover, Hopf bifurcations occur at the rice extinction or weed extinction equilibrium as the delay crosses some critical values. According to the condit...

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