WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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Author: search.filters.author.Alzabut, J. O.Publisher: search.filters.publisher.Pergamon-elsevier Science Ltd

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Now showing 1 - 4 of 4
  • Article
    Citation - WoS: 33
    Citation - Scopus: 34
    Positive Almost Periodic Solutions for a Delay Logarithmic Population Model
    (Pergamon-elsevier Science Ltd, 2011) Sermutlu, E.; Alzabut, J. O.; Stamov, G. T.
    By utilizing the continuation theorem of coincidence degree theory, we shall prove that a delay logarithmic population model has at least one positive almost periodic solution. An example is provided to illustrate the effectiveness of the proposed result. (C) 2010 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 30
    Citation - Scopus: 33
    On Almost Periodic Solutions for an Impulsive Delay Logarithmic Population Model
    (Pergamon-elsevier Science Ltd, 2010) Sermutlu, E.; Alzabut, J. O.; Stamov, G. Tr.
    By employing the contraction mapping principle and applying the Gronwall-Bellman inequality, sufficient conditions are established to prove the existence and exponential stability of positive almost periodic solutions for an impulsive delay logarithmic population model. An example with its numerical simulations has been provided to demonstrate the feasibility of our results. (C) 2009 Elsevier Ltd. All rights reserved.
  • Article
    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.
  • Article
    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.