A delayed periodic Lotka-Volterra type population model with one prey and two predators is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions of the model. Numerical simulation is presented to illustrate the feasibility of our main results.
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Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Xinjiang Univ Finance & Econ, Dept Appl Math, Urumqi 830012, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Zhang, Zewei
Yang, Ting-Hui
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Tamkang Univ, Dept Math, New Taipei 25137, TaiwanSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
Yang, Ting-Hui
Wang, Wendi
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Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R ChinaSouthwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
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China Univ Petrol East China, Coll Sci, Qingdao 266580, Peoples R China
Changchun Univ, Sch Sci, Changchun 130022, Peoples R ChinaChina Univ Petrol East China, Coll Sci, Qingdao 266580, Peoples R China
Zhang, Qiumei
Jiang, Daqing
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China Univ Petrol East China, Coll Sci, Qingdao 266580, Peoples R ChinaChina Univ Petrol East China, Coll Sci, Qingdao 266580, Peoples R China