File | |
Title |
Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems
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Creator |
Zheng Wei
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Source Title |
Applied Mathematics Letters
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Volume | 87 |
Start Page | 125 |
End Page | 133 |
Journal Identifire |
ISSN 0893-9659
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Descriptions |
The model to be dealt in this paper is
N′ = (a + ch(t) − dh(t)N − bP)N, P′ = (− c + dN)P. Here, h is a nonnegative and locally integrable function. This model is a predator-prey system of LotkaVolterra type with variable coefficients and it has a single interior equilibrium (c/d, a/b). Sufficient conditions are given for the interior equilibrium to be uniformly globally asymptotically stable. One of them is described by using a certain uniform divergence condition on h. Our result is p |
Subjects | |
Language |
eng
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Resource Type | journal article |
Publisher |
Elsevier
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Date of Issued | 2019-01 |
Publish Type | Accepted Manuscript |
Access Rights | open access |
Relation |
[DOI] 10.1016/j.aml.2018.07.030
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