Positive periodic solution for a neutral Logarithmic population model with feedback control |
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Authors: | Rui Wang Xiaosheng Zhang |
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Institution: | School of Mathematical Sciences, Capital Normal University, Beijing 100048, People’s Republic of China |
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Abstract: | In this paper, a neutral delay Logarithmic population model with feedback control is studied. By using the abstract continuous theorem of k-set contractive operator, some new results on the existence of the positive periodic solution are obtained; after that, by constructing a suitable Lyapunov functional, a set of easily applicable criteria is established for the global asymptotically stability of the positive periodic solution. |
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Keywords: | Neutral Logarithmic population model Feedback control Positive periodic solution Global asymptotically stability |
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