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Multiple Positive Periodic Solutions of a Discrete Time Delayed Predator–Prey System with Harvesting Terms

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Abstract

In this paper, by using Mawhin’s continuation theorem of coincidence degree theory, we establish the existence of at least two positive periodic solutions for a discrete time delayed predator–prey system with harvesting terms. An example is given to illustrate the effectiveness of our results.

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Authors and Affiliations

  1. Department of Applied Mathematics, Yunnan Agricultural University, Kunming, Yunnan, 650201, People’s Republic of China

    Xinggui Liu

  2. Department of Mathematics, Yunnan University, Kunming, Yunnan, 650091, People’s Republic of China

    Yongkun Li

  3. Statistics and Mathematics College, Yunnan University of Finance and Economics, Kunming, Yunnan, 650221, People’s Republic of China

    Yaping Ren

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  1. Xinggui Liu
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  2. Yongkun Li
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  3. Yaping Ren
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Correspondence to Yaping Ren.

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Liu, X., Li, Y. & Ren, Y. Multiple Positive Periodic Solutions of a Discrete Time Delayed Predator–Prey System with Harvesting Terms. Differ Equ Dyn Syst 18, 239–247 (2010). https://doi.org/10.1007/s12591-010-0069-8

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  • DOI: https://doi.org/10.1007/s12591-010-0069-8

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