Yazar "Bekiryazici, Zafer" için listeleme
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ANALYZING THE DYNAMICS OF EBOLA TRANSMISSION WITH RANDOM EFFECTS
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Science & Knowledge Publ Corp Ltd, 2018)In this study, a deterministic mathematical model of Ebola transmission is analyzed under random effects. A recent compartmental model of Berge et al. incorporates both direct and indirect transmission in the model. We ... -
Approximate Solutions of Fractional Differential Equations Using Optimal q-Homotopy Analysis Method: A Case Study of Abel Differential Equations
Şengül, Süleyman; Bekiryazici, Zafer; Merdan, Mehmet (Multidisciplinary Digital Publishing Institute (MDPI), September )In this study, the optimal q-Homotopy Analysis Method (optimal q-HAM) has been used to investigate fractional Abel differential equations. This article is designed as a case study, where several forms of Abel equations, ... -
Comparison of stochastic and random models for bacterial resistance
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Springer International Publishing Ag, 2017)In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential equations is ... -
Deterministic stability and random behavior of a Hepatitis C model
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khanlyev, Tahir (Public Library Science, 2017)The deterministic stability of a model of Hepatitis C which includes a term defining the effect of immune system is studied on both local and global scales. Random effect is added to the model to investigate the random ... -
Generalized Beta Parameters for a SVEIR-Type Random Model of Polio Transmission
Bekiryazici, Zafer; Merdan, Mehmet; Kesemen, Tulay (Amer Inst Physics, 2018)In this study, a SVEIR-type compartmental model of Poliomyelitis transmission is examined under random effects. We introduce Generalized Beta and normal distributed random parameters into the equation system to investigate ... -
GLOBAL STABILITY IN A PATHOGEN-SPECIFIC CD8 IMMUNE RESPONSE PREDICTION MODEL
Anac, Halil; Merdan, Mehmet; Bekiryazici, Zafer (Yildiz Technical Univ, 2019)In this study, a system of ordinary differential equations used for modeling pathogen-specific CD8 cell immune response is studied. The positivity and the limitation of the model solutions are proven. The equilibrium points ... -
MODELING DISEASE TRANSMISSION DYNAMICS WITH RANDOM DATA AND HEAVY TAILED RANDOM EFFECTS: THE ZIKA CASE
Bekiryazici, Zafer; Kesemen, Tülay; Merdan, Mehmet; Khaniyev, Tahir A. (Isik University, 2023)In this study, we investigate a compartmental model of Zika Virus transmission under random effects. Random effects enable the analysis of random numerical characteristics of transmission, which cannot be modeled through ... -
A MODIFICATION OF APPROXIMATE RANDOM CHARACTERISTICS FOR A MODEL OF ZIKA VIRUS TRANSMISSION
Bekiryazici, Zafer; Kesemen, Tulay; Merdan, Mehmet; Khaniyev, Tahir (Serbian Society of Heat Transfer Engineers, 2022)In this study, a theoretical model of Zika virus transmission is investigated with random parameters. The parameters of a deterministic model are transformed to random variables to obtain a system of random differential ... -
Modification of the random differential transformation method and its applications to compartmental models
Bekiryazici, Zafer; Merdan, Mehmet; Kesemen, Tulay (Taylor & Francis Inc, 2021)In this study, a modification of the random differential transformation method is given by using Laplace-Pade method. The modification, which has previously been introduced for the deterministic differential transformation ... -
Transmission of Cholera Disease with Laplacian and Triangular Parameters
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; Khaniyev, Tahir (Iranian Academic Center for Education, Culture and Research, 2022)A mathematical model has been introduced for the transmission dynamics of cholera disease by GQ Sun et al. recently. In this study, we add Laplacian and Triangular random effects to this model and analyze the variation of ... -
Wong-Zakai approximation for stochastic models of smoking
Sengul, Sueleyman; Bekiryazici, Zafer; Merdan, Mehmet (YILDIZ TECHNICAL UNIV, 2023)In this study, Wong-Zakai approximation method has been used to obtain approximate solutions for two compartmental models of smoking dynamics. Stratonovich stochastic differential equation systems are obtained for these ... -
WONG-ZAKAI METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS IN ENGINEERING
Sengul, Suleyman; Bekiryazici, Zafer; Merdan, Mehmet (Vinca Inst Nuclear Sci, 2021)In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are ...
