Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems

Applied Mathematics Letters Volume 87 Page 125-133 published_at 2019-01
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Title
Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems
Creator
Zheng Wei
Source Title
Applied Mathematics Letters
Volume 87
Start Page 125
End Page 133
Journal Identifire
ISSN 0893-9659
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
Uniform global asymptotic stability ( Other)
Lotka-Volterra predator-prey model ( Other)
Uniform divergence ( Other)
Growth condition ( Other)
Time-varying system ( Other)
Language
eng
Resource Type journal article
Publisher
Elsevier
Date of Issued 2019-01
Publish Type Accepted Manuscript
Access Rights open access
Relation
[DOI] 10.1016/j.aml.2018.07.030