WoS İndeksli Yayınlar Koleksiyonu

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

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Author: search.filters.author.Alqudah, Manar A.Scopus Q: search.filters.scopusQuartile.Q1

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Now showing 1 - 5 of 5
  • Article
    Citation - WoS: 6
    Citation - Scopus: 6
    Modeling the Transmission Dynamics of Middle Eastern Respiratory Syndrome Coronavirus with the Impact of Media Coverage
    (Elsevier, 2021) Fatima, BiBi; Alqudah, Manar A.; Zaman, Gul; Jarad, Fahd; Abdeljawad, Thabet
    Middle East respiratory syndrome coronavirus has been persistent in the Middle East region since 2012. In this paper, we propose a deterministic mathematical model to investigate the effect of media coverage on the transmission and control of Middle Eastern respiratory syndrome coronavirus disease. In order to do this we develop model formulation. Basic reproduction number R-0 will be calculated from the model to assess the transmissibility of the (MERS-CoV). We discuss the existence of backward bifurcation for some range of parameters. We also show stability of the model to figure out the stability condition and impact of media coverage. We show a special case of the model for which the endemic equilibrium is globally asymptotically stable. Finally all the theoretical results will be verified with the help of numerical simulation for easy understanding.
  • Article
    Citation - WoS: 144
    Citation - Scopus: 158
    Semi-Analytical Study of Pine Wilt Disease Model With Convex Rate Under Caputo-Febrizio Fractional Order Derivative
    (Pergamon-elsevier Science Ltd, 2020) Jarad, Fahd; Abdeljawad, Thabet; Shah, Kamal; Alqudah, Manar A.
    In this paper, we present semi-analytical solution to Pine Wilt disease (PWD) model under the CaputoFabrizio fractional derivative (CFFD). For the proposed solution, we utilize Laplace transform coupled with Adomian decomposition method abbreviated as (LADM). The concerned method is a powerful tool to obtain semi-analytical solution for such type of nonlinear differential equations of fractional order (FODEs) involving non-singular kernel. Furthermore, we give some results for the existence of solution to the proposed model and present numerical results to verify the established analysis. (C) 2020 Elsevier Ltd. All rights reserved.
  • Article
    Citation - WoS: 94
    Citation - Scopus: 105
    On More General Forms of Proportional Fractional Operators
    (de Gruyter Poland Sp Z O O, 2020) Abdeljawad, Thabet; Jarad, Fahd; Alqudah, Manar A.
    In this article, more general types of fractional proportional integrals and derivatives are proposed. Some properties of these operators are discussed.
  • Article
    Citation - WoS: 17
    Citation - Scopus: 17
    On Fractional Differential Inclusion Problems Involving Fractional Order Derivative With Respect To Another Function
    (World Scientific Publ Co Pte Ltd, 2020) Abdeljawad, T.; Alqudah, Manar A.; Belmor, Samiha; Jarad, F.
    In this research work, we investigate the existence of solutions for a class of nonlinear boundary value problems for fractional-order differential inclusion with respect to another function. Endpoint theorem for phi-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.
  • Article
    Citation - WoS: 7
    Citation - Scopus: 9
    Mathematical Study of Sir Epidemic Model Under Convex Incidence Rate
    (Amer inst Mathematical Sciences-aims, 2020) Alqudah, Manar A.; Abdeljawad, Thabet; Jarad, Fahd; Din, Rahim Ud; Shah, Kamal
    In this manuscript, we examine the SIR model under convex incidence rate. We first formulate the famous SIR model under the aforesaid incidence rate. Further, we develop some sufficient analysis to examine the dynamical behavior of the model under consideration. We compute the basic reproductive number R-0: Also we study the global attractivity results via using Dulac function theory. Further, we also provide some information about the stability of the endemic and disease free equilibria for the considered model. In addition, we use nonstandard finite difference scheme to perform numerical simulation of the considered model via using Matlab. We provide different numerical plots for two different values of contact rate and taking various initial values for compartments involved in the considered model.