Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (1): 178-193.

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Periodic Solutions of a Neutral Impulsive Predator-Prey Model with Holling-Type IV Functional Response

Tingting Jiang1,2,Zengji Du1,*()   

  1. 1 School of Mathematics and Statistics, Jiangsu Normal University, Jiangsu Xuzhou 221116
    2 Jiangsu Provincial Xuzhou Pharmaceutical Vocational College, Jiangsu Xuzhou 221116
  • Received:2020-02-29 Online:2021-02-26 Published:2021-01-29
  • Contact: Zengji Du E-mail:751668254@qq.com; zjdu@jsnu.edu.cn; duzengji@163.com
  • Supported by:
    the NSFC(11771185);the NSFC(11871251)

Abstract:

This paper is concerned with a neutral impulsive predator-prey model with Holling-type IV functional response and delays. We obtain sufficient conditions on the existence of positive periodic solutions of this predator-prey model by using the Mawhin coincidence degree theory and analysis technique.

Key words: Neutral predator-prey model, Impulsive, Periodic solutions, Holling-type IV functional response, Coincidence degree theory

CLC Number: 

  • O175
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