Elsevier

Applied Mathematics Letters

Volume 62, December 2016, Pages 92-100
Applied Mathematics Letters

Permanence and global attractivity of an impulsive delay Logistic model

https://doi.org/10.1016/j.aml.2016.07.009Get rights and content
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Abstract

In this paper, we consider an impulsive delay Logistic model. First by mathematical analysis, we obtain the maximum and minimum values of solutions of the corresponding autonomous Logistic model. Then by applying the comparison theorem and constructing some suitable Lyapunov functionals, we discuss the permanence and the global attractivity of the model, based on the boundedness of solutions of the corresponding autonomous Logistic model. An example together with its numerical simulation is given to verify our main result.

Keywords

Permanence
Global attractivity
Logistic
Impulse
Delay

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