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author:

Liu, Yu (Liu, Yu.) [1] | Xie, Xiangdong (Xie, Xiangdong.) [2] | Lin, Qifa (Lin, Qifa.) [3]

Indexed by:

Scopus SCIE

Abstract:

We propose and study a nonautonomous harvesting Lotka-Volterra commensalism model incorporating partial closure for the populations. By using the differential inequality theory we obtain sufficient conditions that ensure the extinction, partial survival, and permanence of the system. By applying the fluctuation lemma we establish sufficient conditions that ensure the extinction of one of the components and the stability of the the other one. For the permanent case, by constructing a suitable Lyapunov function we obtain some sufficient conditions for the globally attractivity of the positive solution of the system. Examples, together with their numeric simulations, show the feasibility of the main results. To ensure the stable coexistence of the two species, the harvesting area should be carefully restricted.

Keyword:

Commensalism model Different inequality Extinction Fluctuation lemma Harvesting Lyapunov function Partial closure Partial survival Permanence

Community:

  • [ 1 ] [Liu, Yu]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou, Fujian, Peoples R China
  • [ 2 ] [Xie, Xiangdong]Ningde Normal Univ, Dept Math, Ningde, Peoples R China
  • [ 3 ] [Lin, Qifa]Ningde Normal Univ, Dept Math, Ningde, Peoples R China

Reprint 's Address:

  • [Xie, Xiangdong]Ningde Normal Univ, Dept Math, Ningde, Peoples R China

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Source :

ADVANCES IN DIFFERENCE EQUATIONS

ISSN: 1687-1847

Year: 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: 23

SCOPUS Cited Count: 35

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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