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

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ID	45167
File	Uniform global asymptotic stability of time-varying Lotka-Volterra predator-prey systems 49.6 KB
language	eng
Author	Zheng, Wei Department of Mathematics, Shimane University, Matsue Sugie, Jitsuro
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	10.1016/j.aml.2018.07.030
Publisher	Elsevier
NII Type	Journal Article
Format	PDF
Text Version	著者版
OAI-PMH Set	Faculty of Science and Engineering