STABILITY AND BIFURCATION OF A HUMAN RESPIRATORY SYSTEM MODEL WITH TIME DELAY
被引:0
作者:
沈启宏
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机构:Department of Mathematics, University of Miami, P.O.Box 249085, Coral Gables, FL 331244_4250, USA
沈启宏
魏俊杰
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机构:Department of Mathematics, University of Miami, P.O.Box 249085, Coral Gables, FL 331244_4250, USA
魏俊杰
机构:
[1] Department of Mathematics, University of Miami, P.O.Box 249085, Coral Gables, FL 331244_4250, USA
[2] .Department of Mathematics,Harbin Institute of Technology,Harbin 150001,P.R.China ,Department of Mathematics,Harbin Institute of Technology,Harbin 150001,P.R.China
respiratory system;
time delay;
stability;
bifurcation;
D O I:
暂无
中图分类号:
R56 [呼吸系及胸部疾病];
学科分类号:
1002 ;
100201 ;
摘要:
The stability and bifurcation of the trivial solution in the two_dimensional differential equation of a model describing human respiratory system with time delay were investigated. Formulas about the stability of bifurcating periodic solution and the direction of Hopf bifurcation were exhibited by applying the normal form theory and the center manifold theorem.Furthermore,numerical simulation was carried out.
机构:
Shijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R ChinaShijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R China
Zhang, Xing
Liu, Yongqiang
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机构:
Shijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R China
Shijiazhuang Tiedao Univ, State Key Lab Mech Behav & Syst Safety Traff Engn, Shijiazhuang, Peoples R China
Shijiazhuang Tiedao Univ, Sch Mech Engn, Shijiazhuang, Peoples R ChinaShijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R China
Liu, Yongqiang
Yang, Shaopu
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机构:
Shijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R China
Shijiazhuang Tiedao Univ, State Key Lab Mech Behav & Syst Safety Traff Engn, Shijiazhuang, Peoples R ChinaShijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R China
Yang, Shaopu
Liao, Yingying
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机构:
Shijiazhuang Tiedao Univ, Sch Civil Engn, Shijiazhuang, Peoples R ChinaShijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R China
Liao, Yingying
Wang, Peng
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机构:
North China Univ Sci & Technol, Coll Mech Engn, Tangshan, Peoples R ChinaShijiazhuang Tiedao Univ, Sch Traff & Transportat, Shijiazhuang, Peoples R China
机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
S China Normal Univ, Editorial Dept Journal, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Li Zunxian
Li Xiangao
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机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
Li Xiangao
Zhuang Kejun
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机构:
S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaS China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
Li, Jinhui
Teng, Zhidong
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China
Teng, Zhidong
Zhang, Long
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机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Hubei, Peoples R China