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Zbl 1190.34087
Alzabut, J.O.; Stamov, G.Tr.; Sermutlu, E.
On almost periodic solutions for an impulsive delay logarithmic population model. (English)
[J] Math. Comput. Modelling 51, No. 5-6, 625-631 (2010). ISSN 0895-7177

Summary: 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.
MSC 2000:
*34K14 Almost periodic solutions of functional differential equations
34K45 Equations with impulses
92D25 Population dynamics

Keywords: almost periodic solution; contraction mapping principle; Cauchy matrix; Gronwall-bellman

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