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author:

Deng, H. (Deng, H..) [1] | Huang, X. (Huang, X..) [2]

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Scopus

Abstract:

The aim of this paper is to investigate the dynamic behaviors of a harvesting Lotka-Volterra commensalism model incorporating partial closure for the populations. By analyzing the characteristic equation of the variational matrix, sufficient conditions which ensure the local stability of the equilibria are obtained; By applying the differential inequality theory and the Dulac criterion, sufficient conditions which ensure the globally asymptotical stability of the equilibria are obtained; Our study shows that depending on the fraction of the stock available for harvesting, the system maybe extinction, partial survival or two species coexist in a stable state. The dynamic behaviors of the system becomes complicated compared with the non-harvesting system. Numeric simulations are carried out to show the feasibility of the main results. © 2018 Deng and Huang.

Keyword:

Commensalism model; Different inequality; Global stability; Variational matrix

Community:

  • [ 1 ] [Deng, H.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China
  • [ 2 ] [Huang, X.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350116, China

Reprint 's Address:

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    [Deng, H.]College of Mathematics and Computer Science, Fuzhou UniversityChina

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Source :

Communications in Mathematical Biology and Neuroscience

ISSN: 2052-2541

Year: 2018

Volume: 2018

0 . 5 0 0

JCR@2023

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 24

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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