Existence of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with infinite delays
被引:3
|
作者:
Zhang Daoxiang
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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
[1
,2
]
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
[1
]
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
Zhu Min
[1
]
机构:
[1] Anhui Normal Univ, Coll Math & Comp Sci, Wuhu 241003, Peoples R China
[2] Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
Competitor-competitor-mutualist Lotka-Volterra systems with infinite delays;
Krasnoselskii's fixed point theorem;
positive periodic solutions;
GLOBAL ATTRACTIVITY;
PREDATOR;
MODEL;
D O I:
10.1007/s11424-015-3128-y
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, the authors primarily explore a delayed competitor-competitor-mutualist Lotka-Volterra model, which is a system of differential equation with infinite integral. The authors first study the existence of positive periodic solutions of the model by using the Krasnoselskii's fixed point theorem, and then present an example to illustrate the main results.
机构:
Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Campus Vida, Santiago De Compostela 15782, Spain
Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, RomaniaUniv Santiago de Compostela, Fac Matemat, Inst Matemat, Campus Vida, Santiago De Compostela 15782, Spain
Lois-Prados, Cristina
Precup, Radu
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机构:
Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Campus Vida, Santiago De Compostela 15782, Spain
Babes Bolyai Univ, Dept Math, Cluj Napoca 400084, RomaniaUniv Santiago de Compostela, Fac Matemat, Inst Matemat, Campus Vida, Santiago De Compostela 15782, Spain
机构:
Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R ChinaCent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China
Tang, XH
Zou, XF
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机构:Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Hunan, Peoples R China