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Citation - WoS: 28
Citation - Scopus: 33
Existence of Periodic Solutions, Global Attractivity and Oscillation of Impulsive Delay Population Model
(Pergamon-elsevier Science Ltd, 2007) Alzabut, J. O.; Saker, S. H.
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.
Citation - WoS: 15
Citation - Scopus: 16
Periodic Solutions, Global Attractivity and Oscillation of an Impulsive Delay Host-Macroparasite Model
(Pergamon-elsevier Science Ltd, 2007) Alzabut, J. O.; Saker, S. H.
In this paper we will consider the nonlinear impulsive delay host-macroparasite model with periodic coefficients. By means of the continuation theorem of coincidence degree, we establish a sufficient condition for the existence of a positive periodic solution M(t) with strictly positive components. Moreover, we establish a sufficient condition for the global attractivity of M(t) and some sufficient conditions for oscillation of all positive solutions about the positive periodic solution M(t). (c) 2006 Elsevier Ltd. All rights reserved.

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