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Web of Proceedings - Francis Academic Press

Periodic Solution of Nonmonotonic Predator-prey System with Periodic Coefficients and Undercrowding Effect

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DOI: 10.25236/mmmce.2019.119

Author(s)

Yan Yan, Zhanji Gui, and Kaihua Wang

Corresponding Author

Zhanji Gui

Abstract

The paper studies nonmonotonic predator and prey model with periodic coefficients and undercrowding effect. Based on some mathematical analysis theories, the paper makes use of Mawhin’s continuation theorem, which gives the existence theorem of periodic solution of the sufficient conditions. In the end, the paper gives a numerical simulation example, which gets the validity of the results.

Keywords

Periodic Solution, Degree theorem, Undercrowding effect