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author:

Chen, Baoguo (Chen, Baoguo.) [1] (Scholars:陈宝国)

Indexed by:

Scopus SCIE

Abstract:

In this paper, we study the following Lotka-Volterra commensal symbiosis model of two populations with Michaelis-Menten type harvesting for the first species: where r1, r2, K1, K2, , q, E, m1 and m2 are all positive constants. The local and global dynamic behaviors of the system are investigated, respectively. For the limited harvesting case (i.e., q is small enough), we show that the system admits a unique globally stable positive equilibrium. For the over harvesting case, if the cooperate intensity of the both species () and the capacity of the second species (K2) are large enough, the two species could coexist in a stable state; otherwise, the first species will be driven to extinction. Numeric simulations are carried out to show the feasibility of the main results.

Keyword:

34C25 34D20 34D40 92D25 Commensal symbiosis model Differential inequality theory Global attractivity Michaelis-Menten type harvesting

Community:

  • [ 1 ] [Chen, Baoguo]Fuzhou Univ, Res Inst Sci Technol & Soc, Fuzhou, Fujian, Peoples R China

Reprint 's Address:

  • 陈宝国

    [Chen, Baoguo]Fuzhou Univ, Res Inst Sci Technol & Soc, Fuzhou, Fujian, Peoples R China

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Source :

ADVANCES IN DIFFERENCE EQUATIONS

ISSN: 1687-1847

Year: 2019

2 . 4 2 1

JCR@2019

3 . 1 0 0

JCR@2023

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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