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Browsing by Author "Din, Rahim Ud"

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    Article
    Citation - WoS: 5
    Citation - Scopus: 7
    Mathematical study of sir epidemic model under convex incidence rate
    (Amer inst Mathematical Sciences-aims, 2020) Abdeljawad, Thabet; Din, Rahim Ud; Shah, Kamal; Jarad, Fahd; Alqudah, Manar A.; Abdeljawad, Thabet; Jarad, Fahd; 234808; Matematik
    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.
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    Article
    Citation - WoS: 33
    Citation - Scopus: 39
    Study of global dynamics of COVID-19 via a new mathematical model
    (Elsevier, 2020) Din, Rahim Ud; Baleanu, Dumitru; Seadawy, Aly R.; Shah, Kamal; Ullah, Aman; Baleanu, Dumitru; 56389; Matematik
    The theme of this paper focuses on the mathematical modeling and transmission mechanism of the new Coronavirus shortly noted as (COVID-19), endangering the lives of people and causing a great menace to the world recently. We used a new type epidemic model composed on four compartments that is susceptible, exposed, infected and recovered (SEIR), which describes the dynamics of COVID-19 under convex incidence rate. We simulate the results by using nonstandard finite difference method (NSFDS) which is a powerful numerical tool. We describe the new model on some random data and then by the available data of a particular regions of Subcontinents.