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author:

Liu, Y. (Liu, Y..) [1] | Guan, X. (Guan, X..) [2] | Xie, X. (Xie, X..) [3] | Lin, Q. (Lin, Q..) [4]

Indexed by:

Scopus

Abstract:

A non-autonomous commensal symbiosis model of two populations with Michaelis-Menten type harvesting is proposed and studied in this paper. By using a continuation theorem based on Gaines and Mawhin’s coincidence degree, we study the global existence of positive periodic solutions of the system. By constructing a suitable Lyapuonov function, sufficient conditions which ensure the global attractivity of the positive periodic solution are obtained. Numeric simulations are carried out to show the feasibility of the main results. © 2019 the authors.

Keyword:

Commensal symbiosis model; Global attractivity; Lyapunov function; Michaelis-menten type harvesting; Positive periodic solution

Community:

  • [ 1 ] [Liu, Y.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China
  • [ 2 ] [Guan, X.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China
  • [ 3 ] [Xie, X.]Department of Mathematics, Ningde Normal University, Ningde, Fujian 352300, China
  • [ 4 ] [Lin, Q.]Department of Mathematics, Ningde Normal University, Ningde, Fujian 352300, China

Reprint 's Address:

  • [Xie, X.]Department of Mathematics, Ningde Normal UniversityChina

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Source :

Communications in Mathematical Biology and Neuroscience

ISSN: 2052-2541

Year: 2019

Volume: 2019

0 . 5 0 0

JCR@2023

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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