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author:

He, Mengxin (He, Mengxin.) [1] | Li, Zhong (Li, Zhong.) [2]

Indexed by:

EI SCIE

Abstract:

In this paper, we investigate a Holling-Tanner predator-prey model with harvesting and anti-predator behavior. It is shown that the double positive equilibrium is a cusp of codimension 2, the triple positive equilibrium is a nilpotent saddle of codimension 3, and the order of weak focus is 3. With influence of harvesting and anti-predator behavior, system exhibits complex bifurcation phenomena such as a cusp type Bogdanov-Takens bifurcation of codimension 2, and a degenerate Hopf bifurcation of codimension 3.

Keyword:

Anti-predator behavior Bifurcation Harvesting Holling-Tanner

Community:

  • [ 1 ] [He, Mengxin]Minjiang Univ, Sch Comp & Data Sci, Fuzhou 350108, Fujian, Peoples R China
  • [ 2 ] [Li, Zhong]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China

Reprint 's Address:

  • [Li, Zhong]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Fujian, Peoples R China

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Source :

APPLIED MATHEMATICS LETTERS

ISSN: 0893-9659

Year: 2026

Volume: 172

2 . 9 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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