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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.
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Communications in Mathematical Biology and Neuroscience
ISSN: 2052-2541
Year: 2018
Volume: 2018
0 . 5 0 0
JCR@2023
Cited Count:
SCOPUS Cited Count: 24
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 0
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