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Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse

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  • Zhenguo Luo
  • Liping Luo

Abstract

We investigate a neutral multispecies logarithmic population model with feedback control and impulse. By applying the contraction mapping principle and some inequality techniques, a set of easily applicable criteria for the existence, uniqueness, and global attractivity of positive periodic solution are established. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. We also give an example to illustrate the applicability of our results.

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  • Zhenguo Luo & Liping Luo, 2013. "Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, October.
    • Handle: RePEc:hin:jnlaaa:741043
    DOI: 10.1155/2013/741043
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