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Browsing by Author "Zaman, Gul"

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    Article
    Citation - WoS: 78
    Citation - Scopus: 84
    Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative
    (Amer inst Physics, 2019) Khan, Sajjad Ali; Jarad, Fahd; Shah, Kamal; Zaman, Gul; Jarad, Fahd; 234808; Matematik
    In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for the considered model. Furthermore, some results related to uniqueness of the equilibrium solution and its stability are discussed utilizing the techniques of nonlinear functional analysis. The dynamics of iterative solutions for various compartments of the model are plotted with the help of Matlab. Published under license by AIP Publishing.
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    Citation - WoS: 0
    Citation - Scopus: 0
    Transmission dynamic and backward bifurcation of Middle Eastern respiratory syndrome coronavirus
    (Vilnius Univ, inst Mathematics & informatics, 2022) Fatima, Bibi; Jarad, Fahd; Zaman, Gul; Jarad, Fahd; 234808; Matematik
    Middle East respiratory syndrome coronavirus (MERS-CoV) remains an emerging disease threat with regular human cases on the Arabian Peninsula driven by recurring camels to human transmission events. In this paper, we present a new deterministic model for the transmission dynamics of (MERS-CoV). In order to do this, we develop a model formulation and analyze the stability of the proposed model. The stability conditions are obtained in term of R-0, we find those conditions for which the model become stable. We discuss basic reproductive number R-0 along with sensitivity analysis to show the impact of every epidemic parameter. We show that the proposed model exhibits the phenomena of backward bifurcation. Finally, we show the numerical simulation of our proposed model for supporting our analytical work. The aim of this work is to show via mathematical model the transmission of MERS-CoV between humans and camels, which are suspected to be the primary source of infection.