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Alzabut, Jehad O.

Almost periodic solutions for an impulsive delay Nicholson’s blowflies model. (English) Zbl 1196.34095

J. Comput. Appl. Math. 234, No. 1, 233-239 (2010).
Summary: By means of the contraction mapping principle and Gronwall-Bellman’s inequality, we prove the existence and exponential stability of positive almost periodic solution for an impulsive delay Nicholson’s blowflies model. The main results are illustrated by an example.

Cited in 44 Documents

MSC:

34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
34K45 Functional-differential equations with impulses
92D25 Population dynamics (general)

Keywords:

almost periodic solution; Nicholson’s blowflies model; contraction mapping principle; Gronwall-Bellman’s inequality
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\textit{J. O. Alzabut}, J. Comput. Appl. Math. 234, No. 1, 233--239 (2010; Zbl 1196.34095)
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References:

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