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.
机构:
Yunnan Univ, Dept Math, Kunming 650091, Yunnan, Peoples R China
Yuxi Normal Univ, Dept Math, Yuxi 653100, Yunnan, Peoples R ChinaYunnan Univ, Grad Sch, Kunming 650091, Yunnan, Peoples R China
Zhao, Kaihong
Ye, Yuan
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Yunnan Univ, Grad Sch, Kunming 650091, Yunnan, Peoples R ChinaYunnan Univ, Grad Sch, Kunming 650091, Yunnan, Peoples R China
机构:
Foshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R ChinaFoshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China
Huang, Haochuan
Huang, Rui
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South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R ChinaFoshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China
Huang, Rui
Wang, Liangwei
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Chongqing Three Gorges Univ, Coll Math & Stat, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404100, Peoples R ChinaFoshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China
Wang, Liangwei
Yin, Jingxue
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South China Normal Univ, Sch Math Sci, Guangzhou 510631, Peoples R ChinaFoshan Univ, Sch Math & Big Data, Foshan 528000, Peoples R China