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ID 45167
File
language
eng
Author
Zheng, Wei Department of Mathematics, Shimane University, Matsue
Description
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
Subject
Uniform global asymptotic stability
Lotka-Volterra predator-prey model
Uniform divergence
Growth condition
Time-varying system
Journal Title
Applied Mathematics Letters
Volume
87
Start Page
125
End Page
133
ISSN
0893-9659
Published Date
2019-01
DOI
Publisher
Elsevier
NII Type
Journal Article
Format
PDF
Text Version
著者版
OAI-PMH Set
Faculty of Science and Engineering