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On almost periodic solutions for an impulsive delay logarithmic population model
Journal article   Open access  Peer reviewed

On almost periodic solutions for an impulsive delay logarithmic population model

J.O. Alzabut, G.Tr Stamov and E. Sermutlu
Mathematical and computer modelling, Vol.51(5), pp.625-631
01/03/2010
DOI: https://doi.org/10.1016/j.mcm.2009.11.001

Abstract

Almost periodic solution Cauchy matrix Contraction mapping principle Gronwall–Bellman
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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https://doi.org/10.1016/j.mcm.2009.11.001View
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