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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.
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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
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30 Days PV: 0
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