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Zbl 1197.34165
Liu, Bingwen
Global stability of a class of Nicholson's blowflies model with patch structure and multiple time-varying delays. (English)
[J] Nonlinear Anal., Real World Appl. 11, No. 4, 2557-2562 (2010). ISSN 1468-1218

Summary: This paper is concerned with a class of the generalized Nicholson's blowflies models with patch structure and multiple time-varying delays. Under suitable conditions, we present a new proof to establish some criteria for global stability of the positive equilibrium of this model. Moreover, we give an example to illustrate our main result.
MSC 2000:
*34K60 Applications of functional-differential equations
34K20 Stability theory of functional-differential equations
34K21
92D25 Population dynamics

Keywords: Nicholson's blowflies model; global stability; patch structure; positive equilibrium; multiple time-varying delays

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