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Existence of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with infinite delays

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Abstract

In this paper, the authors primarily explore a delayed competitor-competitor-mutualist Lotka-Volterra model, which is a system of differential equation with infinite integral. The authors first study the existence of positive periodic solutions of the model by using the Krasnoselskii’s fixed point theorem, and then present an example to illustrate the main results.

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Author information

Authors and Affiliations

  1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241003, China

    Daoxiang Zhang

  2. College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

    Daoxiang Zhang, Weiwei Ding & Min Zhu

Authors
  1. Daoxiang Zhang
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  2. Weiwei Ding
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  3. Min Zhu
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Corresponding author

Correspondence to Daoxiang Zhang.

Additional information

This research was supported by the National Natural Science Foundation of China under Grant No. 11302002 and the Foundation of Outstanding Young Talent in University of Anhui Province of China under Grant No. 2011SQRL022ZD.

This paper was recommended for publication by Editor FENG Dexing.

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Zhang, D., Ding, W. & Zhu, M. Existence of positive periodic solutions of competitor-competitor-mutualist Lotka-Volterra systems with infinite delays. J Syst Sci Complex 28, 316–326 (2015). https://doi.org/10.1007/s11424-015-3128-y

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  • DOI: https://doi.org/10.1007/s11424-015-3128-y

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