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[期刊论文]

Complex Dynamics Analysis of a Discrete Amensalism System with a Cover for the First Species

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author:

Zhou, Q. (Zhou, Q..) [1] | Chen, F. (Chen, F..) [2] | Lin, S. (Lin, S..) [3]

Indexed by:

Scopus

Abstract:

Of interest is the dynamics of the discrete-time amensalism model with a cover on the first species. We first obtain the existence and stability of fixed points and the conditions for the permanent coexistence of two species. Then we demonstrate the occurrence of flip bifurcation by using the central manifold theorem and bifurcation theory. A hybrid control strategy is used to control the flip bifurcation and stabilize unstable periodic orbits embedded in the complex attractor. Numerical simulation verifies the feasibility of theoretical analysis and reveals some novel and exciting dynamic phenomena. © 2022 by the authors.

Keyword:

amensalism model chaos control flip bifurcation global stability permanence

Community:

  • [ 1 ] [Zhou, Q.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350108, China
  • [ 2 ] [Chen, F.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350108, China
  • [ 3 ] [Lin, S.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, 350108, China

Reprint 's Address:

  • [Chen, F.]School of Mathematics and Statistics, China

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Source :

Axioms

ISSN: 2075-1680

Year: 2022

Issue: 8

Volume: 11

2 . 0

JCR@2022

1 . 9 0 0

JCR@2023

ESI HC Threshold:24

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 6

30 Days PV: 1

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