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author:

Huang, X. (Huang, X..) [1] | Chen, L. (Chen, L..) [2] | Xia, Y. (Xia, Y..) [3] | Chen, F. (Chen, F..) [4] (Scholars:陈凤德)

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Scopus

Abstract:

In this paper, a predator-prey model in which the prey has the additive Allee effect and the predator has artificially controlled migration is proposed. When the system introduces additive Allee effect and artificially controlled migration, more complicated dynamical behavior is obtained. The system can undergo saddle-node bifurcation, transcritical bifurcation, pitchfork bifurcation, Hopf bifurcation and Bogdanov-Takens bifurcation. Two limit cycles are found and discussed. The influence of the additive Allee effect and artificially controlled migration on the dynamics of the system is also presented. In detail, when the Allee effect is large, the prey will become extinct. When the artificially controlled migration rate is larger, the intensity of the prey (pest) will be smaller and the intensity of the predator will be larger. This indicates that artificially controlled migration can be effectively used to control the pest. © World Scientific Publishing Company.

Keyword:

Additive Allee effect artificially controlled migration bifurcation stability

Community:

  • [ 1 ] [Huang X.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350108, China
  • [ 2 ] [Chen L.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350108, China
  • [ 3 ] [Xia Y.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350108, China
  • [ 4 ] [Chen F.]School of Mathematics and Statistics, Fuzhou University, Fujian, Fuzhou, 350108, China

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Source :

International Journal of Bifurcation and Chaos

ISSN: 0218-1274

Year: 2023

Issue: 15

Volume: 33

1 . 9

JCR@2023

1 . 9 0 0

JCR@2023

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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