Quarterly of Applied Mathematics

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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
MathSciNet review: 2126569
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Abstract | References | Similar articles | Additional information

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.

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