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New results of existence and stability of periodic solution for a delay multispecies Logarithmic population model
Authors:Weirui Zhao
Institution:Department of Mathematics, Wuhan University of Technology, 122 Luoshi Road, Wuhan, Hubei, 430070, China;Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen, 518055, China
Abstract:In this Letter, for a general class of delayed periodic multispecies Logarithmic population model, we prove some new results on the existence of positive periodic solutions by contraction principle. The global exponential stability of positive periodic solutions is discussed further, and conditions for exponential convergence are given. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases.
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