On Almost Periodic Solutions for an Impulsive Delay Logarithmic Population Model
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Date
2010
Authors
Journal Title
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Publisher
Pergamon-elsevier Science Ltd
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HYBRID
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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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Scopus Q
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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33
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30
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2
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