• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
成果搜索

author:

Wei, Zhen (Wei, Zhen.) [1] | Chen, Fengde (Chen, Fengde.) [2] (Scholars:陈凤德)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we consider a Holling type II predator-prey system with prey refuge, Allee effect, fear effect and time delay. The existence and stability of the equilibria of the system are investigated. Under the variation of the delay as a parameter, the system experiences a Hopf bifurcation at the positive equilibrium when the delay crosses some critical values. We also analyze the direction of Hopf bifurcation and the stability of bifurcating periodic solution by the center manifold theorem and normal form theory. We show that the influence of fear effect and Allee effect is negative, while the impact of the prey refuge is positive. In particular, the birth rate plays an important role in the stability of the equilibria. Examples with associated numerical simulations are provided to prove our main results.

Keyword:

Allee effect fear effect predator-prey system prey refuge Time delay

Community:

  • [ 1 ] [Wei, Zhen]Fujian Polytech Normal Univ, Sch Big Date & Artificial Intelligence, Fuqing 350300, Peoples R China
  • [ 2 ] [Chen, Fengde]Fuzhou Univ, Coll Math & Stat, Fuzhou 350002, Peoples R China

Reprint 's Address:

  • [Chen, Fengde]Fuzhou Univ, Coll Math & Stat, Fuzhou 350002, Peoples R China;;

Show more details

Related Keywords:

Source :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

Year: 2023

Issue: 03

Volume: 33

1 . 9

JCR@2023

1 . 9 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:13

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 9

SCOPUS Cited Count: 11

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

Online/Total:118/10071228
Address:FZU Library(No.2 Xuyuan Road, Fuzhou, Fujian, PRC Post Code:350116) Contact Us:0591-22865326
Copyright:FZU Library Technical Support:Beijing Aegean Software Co., Ltd. 闽ICP备05005463号-1