Permanence and global attractivity of an impulsive delay Logistic model |
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Affiliation: | 1. College of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350117, PR China;2. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, PR China |
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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. |
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Keywords: | Permanence Global attractivity Logistic Impulse Delay |
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