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On Almost Periodic Solutions for an Impulsive Delay Logarithmic Population Model

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Date

2010

Journal Title

Journal ISSN

Volume Title

Publisher

Pergamon-elsevier Science Ltd

Open Access Color

HYBRID

Green Open Access

No

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Abstract

By employing the contraction mapping principle and applying the Gronwall-Bellman inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solutions for an impulsive delay logarithmic population model. An example with its numerical simulations has been provided to demonstrate the feasibility of our results. (C) 2009 Elsevier Ltd. All rights reserved.

Description

Stamov, Gani/0000-0002-2112-6601; Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138

Keywords

Almost Periodic Solution, Contraction Mapping Principle, Cauchy Matrix, Gronwall-Bellman, Modelling and Simulation, Computer Science Applications, Almost and pseudo-almost periodic solutions to functional-differential equations, Population dynamics (general), Gronwall-bellman, almost periodic solution, Functional-differential equations with impulses, Cauchy matrix, contraction mapping principle

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Alzabut, J.O., Stamov, G.Tr., Sermutlu, E. (2010). On almost periodic solutions for an impulsive delay logarithmic population model. Mathematical And Computer Modelling, 51(5-6), 625-631. http://dx.doi.org/ 10.1016/j.mcm.2009.11.001

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OpenCitations Citation Count
29

Source

Mathematical and Computer Modelling

Volume

51

Issue

5-6

Start Page

625

End Page

631
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CrossRef : 22

Scopus : 33

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Mendeley Readers : 8

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