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author:

Chen, B. (Chen, B..) [1]

Indexed by:

Scopus

Abstract:

A two-species commensal symbiosis model involving Allee effect and one party can not survive independently is proposed and studied in this paper. Sufficient conditions which ensure the local and global stability of the boundary equilibrium and the positive equilibrium are obtained, respectively. Numeric simulations show that with the increasing of Alee effect, the system takes much longer time to reach its stable steady-state solution, though the Allee effect has no influence on the final density of the species. The Allee effect has instable effect on the system, however, such effect is controllable. © 2018, The Author(s).

Keyword:

Allee effect; Commensal symbiosis model; Ratio-dependent; Stability

Community:

  • [ 1 ] [Chen, B.]Research Institute of Science Technology and Society, Fuzhou University, Fuzhou, China

Reprint 's Address:

  • [Chen, B.]Research Institute of Science Technology and Society, Fuzhou UniversityChina

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Source :

Advances in Difference Equations

ISSN: 1687-1839

Year: 2018

Issue: 1

Volume: 2018

1 . 5 1

JCR@2018

3 . 1 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 34

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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