almost periodicity;
coincidence degree;
competitor-competitormutualist;
Lotka-Volterra;
D O I:
10.1504/IJDSDE.2015.069881
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
By using Mawhin's continuation theorem of coincidence degree theory and constructing a suitable Lyapunov functional, a set of easily verifiable conditions are obtained for the existence and global asymptotical stability of a unique positive almost periodic solution of competitor-competitormutualist Lotka-Volterra systems with time delays. An example and simulations are employed to illustrate the main results of this paper.
机构:
Yulin Normal Univ, Dept Math & Comp Sci, Yulin 537000, Guangxi, Peoples R ChinaYulin Normal Univ, Dept Math & Comp Sci, Yulin 537000, Guangxi, Peoples R China
Liang, Yanlai
Li, Lijie
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机构:
Yulin Normal Univ, Dept Math & Comp Sci, Yulin 537000, Guangxi, Peoples R ChinaYulin Normal Univ, Dept Math & Comp Sci, Yulin 537000, Guangxi, Peoples R China
Li, Lijie
Chen, Lansun
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机构:
Dalian Univ Technol, Dept Appl Math, Dalian 116024, Liaoning, Peoples R ChinaYulin Normal Univ, Dept Math & Comp Sci, Yulin 537000, Guangxi, Peoples R China
机构:
Anhui Normal Univ, Coll Math & Comp Sci, Wuhu 241003, Peoples R China
Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R ChinaAnhui Normal Univ, Coll Math & Comp Sci, Wuhu 241003, Peoples R China
Zhang Daoxiang
Ding Weiwei
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机构:
Anhui Normal Univ, Coll Math & Comp Sci, Wuhu 241003, Peoples R ChinaAnhui Normal Univ, Coll Math & Comp Sci, Wuhu 241003, Peoples R China
Ding Weiwei
Zhu Min
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机构:
Anhui Normal Univ, Coll Math & Comp Sci, Wuhu 241003, Peoples R ChinaAnhui Normal Univ, Coll Math & Comp Sci, Wuhu 241003, Peoples R China
机构:
Jiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Jiangsu, Peoples R China
Du, Zengji
Lv, Yansen
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机构:
Jiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Jiangsu, Peoples R ChinaJiangsu Normal Univ, Sch Math Sci, Xuzhou 221116, Jiangsu, Peoples R China