On almost periodic solutions for an impulsive delay logarithmic population model
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Date
2010
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Pergamon-Elsevier Science LTD
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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
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Keywords
Almost Periodic Solution, Contraction Mapping Principle, Cauchy Matrix, Gronwall-Bellman
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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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Source
Mathematical And Computer Modelling
Volume
51
Issue
5-6
Start Page
625
End Page
631