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Existence of periodic solutions, global attractivity and oscillation of impulsive delay population model

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2007

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Pergamon-elsevier Science Ltd

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Matematik
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Abstract

In this paper we consider the nonlinear impulsive delay population model. The main objective is to systematically study the qualitative behavior of the model including existence of periodic solutions, global attractivity and oscillation. The main oscillation results are the results of the prevalence of the mature cells about the periodic solutions and the global attractivity results are the conditions for nonexistence of dynamical diseases on the population. (c) 2006 Elsevier Ltd. All rights reserved.

Description

Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Saker, Samir/0000-0003-2793-0972

Keywords

Impulse, Delay, Existence, Global Attractivity, Oscillation, Population Dynamics

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Saker, S.H., Alzabut, J. (2007). Existence of periodic solutions, global attractivity and oscillation of impulsive delay population model. Nonlinear Analysis-Real Wold Applications, 8(4), 1029-1039. http://dx.doi.org/10.1016/j.nonwa.2006.06.001

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8

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4

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1029

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1039