Existence of Periodic Solutions, Global Attractivity and Oscillation of Impulsive Delay Population Model
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Date
2007
Authors
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Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
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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, Impulsive delay population model, Qualitative investigation and simulation of models involving functional-differential equations, Stability theory of functional-differential equations, Oscillation theory of functional-differential equations, Functional-differential equations with impulses, oscillation, global attractivity
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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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OpenCitations Citation Count
27
Source
Nonlinear Analysis: Real World Applications
Volume
8
Issue
4
Start Page
1029
End Page
1039
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CrossRef : 26
Scopus : 33
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33
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Web of Science™ Citations
28
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