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    Effect of the Awareness Parameter on a Fractional-Order Tuberculosis Model
    (American Institute of Physics Inc., 2022) Yavuz, M.; Akman, M.; Usta, Fuat; Özdemir, N.
    Tuberculosis (TB) is an infectious disease with a high death rate compared to many infectious diseases. Therefore, many prominent studies have been done on the mathematical modeling and analysis of TB. In this study, an illustrative mathematical model is developed by considering the awareness parameter. In this context, two different treatment strategies that is applied as protective treatment and main treatment that is considered on the infected individuals are taken into account. In the provided model, a six-dimensional compartment system of fractional-order is constructed that includes the susceptible, latent, infected, and recovered population, as well as including the mentioned two treatment strategies. Also positivity and biologically feasible region of the model are provided. In the numerical simulations, Adams-Bashforth which is a well-known numerical scheme is applied to obtain the results. © 2022 American Institute of Physics Inc.. All rights reserved.
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    A Novel Modeling and Analysis of Fractional-Order COVID-19 Pandemic Having a Vaccination Strategy
    (American Institute of Physics Inc., 2022) Yavuz, M.; Coşar, F.Ö.; Usta, Fuat
    Recently, many illustrative studies have been performed on the mathematical modeling and analysis of COVID-19. Due to the uncertainty in the process of vaccination and its efficiency on the disease, there have not been taken enough studies into account yet. In this context, a mathematical model is developed to reveal the effects of vaccine treatment, which has been developed recently by several companies, on COVID-19 in this study. In the suggested model, as well as the vaccinated individuals, a five-dimensional ordinary differential equation system including the susceptible, infected, exposed and recovered population is constructed. This mentioned system is considered in the fractional order to investigate and point out more detailed analysis in the disease and its future prediction. Moreover, besides the positivity, existence and uniqueness of the solution, biologically feasible region are provided. The basic reproduction number, known as expected secondary infection which means that expected infection among the susceptible populations caused by this infection, is computed. In the numerical simulations, the parameter values taken from the literature and estimated are used to perform the solutions of the proposed model. In the numerical simulations, Adams-Bashforth algorithm which is a well-known numerical scheme is used to obtain the results. © 2022 American Institute of Physics Inc.. All rights reserved.
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    The relation between serum high sensitive CRP levels and angiographically documented coronary artery disease
    (Blackwell Publishing, 2006) Albayrak, E.; Yavuz, M.; Yazıcı, M.; Özhan, H.; Erbilen, E.; Yavuz, O.; Kaya, A.
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