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A global stability criterion for a family of delayed population models
Author(s):
Eduardo
Liz;
Manuel
Pinto;
Victor
Tkachenko;
Sergei
Trofimchuk
Journal:
Quart. Appl. Math.
63
(2005),
56-70.
MSC (2000):
Primary 34K20;
Secondary 92D25
Posted:
January 19, 2005
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Abstract:
For a family of single-species delayed population models, a new global stability condition is found. This condition is sharp and can be applied in both monotone and nonmonotone cases. Moreover, the consideration of variable or distributed delays is allowed. We illustrate our approach on the Mackey-Glass equations and the Lasota-Wazewska model.
References:
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Additional Information:
Eduardo
Liz
Affiliation:
Departamento de Matemática Aplicada II, E.T.S.I. Telecomunicación, Universidad de Vigo, Campus Marcosende, 36280 Vigo, Spain
Email:
eliz@dma.uvigo.es
Manuel
Pinto
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad de Chile, Casilla 653, Santiago, Chile
Email:
pintoj@abello.dic.uchile.cl
Victor
Tkachenko
Affiliation:
Institute of Mathematics, National Academy of Sciences of Ukraine, Tereshchenkivs'ka str. 3, Kiev, Ukraine
Email:
vitk@imath.kiev.ua
Sergei
Trofimchuk
Affiliation:
Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile
Email:
trofimch@inst-mat.utalca.cl
PII:
S0033-569X-05-00951-3
Keywords:
Global stability,
delay differential equations,
Schwarz derivative,
Mackey-Glass equations,
Lasota--Wazewska model
Received by editor(s):
January 15, 2004
Posted:
January 19, 2005
Copyright of article:
Copyright
2005,
Brown University
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