Yazar "Bekiryazıcı, Zafer" için listeleme
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Analysis of a Random Zeeman Heartbeat Model with Differential Transformation Method
Oral, Pınar; Merdan, Mehmet; Bekiryazıcı, Zafer (2019)In this paper, the differential transformation method is used to examine the random Zeeman Heartbeat Model. Some of the parameters and the initial conditions of the model are taken as random variables with Beta and Normal ... -
Analyzing the dynamics of ebola transmission with random effects
Merdan, Mehmet; Bekiryazıcı, Zafer; Kesemen, Tülay; 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 ... -
Analyzing the stochastic dynamics of COVID-19 waves in Turkey using real data and piecewise sinusoidal functions
Bekiryazıcı, Zafer; Önen, Ayhan (Springer, 2024)In this study, the SIR compartmental model with vital dynamics and standard incidence is used to investigate COVID-19 transmission dynamics in Turkey. The transmission rate of the original model is replaced with a piecewise ... -
Approximate solutions of fractional differential equations using optimal q-homotopy analysis method: a case study of abel differential equations
Şengül, Süleyman; Bekiryazıcı, Zafer; Merdan, Mehmet (MDPI, 2024)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 a random model of Hand-Foot-Mouth Disease model with Gaussian and Laplacian parameters
Bekiryazıcı, Zafer; Hasımoğlu, Saime (Gumushane University, 2022)In this study, we investigate the transmission dynamics of Hand-Foot-Mouth disease (HFMD) using a differential equation system with random parameters. We transform the parameters of the existing deterministic model into ... -
Comparison of stochastic and random models for bacterial resistance
Merdan, Mehmet; Bekiryazıcı, Zafer; Kesemen, Tülay; 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; Bekiryazıcı, Zafer; Kesemen, Tülay; 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
Bekiryazıcı, Zafer; Merdan, Mehmet; Kesemen, Tülay (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 ... -
Generalized osculating curves of type (n-3) in the n-dimensional Euclidean space
Bektaş, Özcan; Bekiryazıcı, Zafer (Ankara University, 2022)In this paper, we give a generalization of the osculating curves to the n-dimensional Euclidean space. Based on the definition of an osculating curve in the 3 and 4 dimensional Euclidean spaces, a new type of osculating ... -
Global stability in a pathogen-specific cd8 immune response prediction model
Anaç, Halil; Merdan, Mehmet; Bekiryazıcı, 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: Rhe zika case
Bekiryazıcı, Zafer; Kesemen, Tülay; Merdan, Mehmet; Khaniyev, Tahir (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 ... -
Modelling of cohesive -sediment depositional areas carried by the Solakh River to the Eastern Black-Sea
Yazır, Devran; Ünver, Ihsan; Köse, Ercan; Bekiryazıcı, Zafer (Natl Inst Science Communication-Niscair, 2018)In this study, cohesive sediment depositional areas carried by the Solakh River to the Eastern Black-Sea are examined in the marine environment. Effects of changes in the amount of cohesive sediment entering the sea from ... -
A modification of approximate random characteristics for a model of Zika virus transmission
Bekiryazıcı, Zafer; Kesemen, Tülay; Merdan, Mehmet; Khaniyev, Tahir (Vinca Inst Nuclear Science, 2022)In this study, a theoretical model of Zika virus transmission is investigated with ran-dom parameters. The parameters of a deterministic model are transformed to ran-dom variables to obtain a system of random differential ... -
Modification of the random differential transformation method and its applications to compartmental models
Bekiryazıcı, Zafer; Merdan, Mehmet; Kesemen, Tülay (Taylor & Francis Inc, 2020)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 ... -
The performance of wong-zakai approximations for the investigation of stochastic differential equation models with nonlinear multiplicative noise
Şengül, Selim; Bekiryazıcı, Zafer; Merdan, Mehmet (Comenius University, 2021)In this study, Wong-Zakai approximation method has been applied for the analysis of stochastic differential equations appearing in engineering sciences. Wong-Zakai approximation has been used with similar stochastic ... -
A psychometric scale for determining university students' attitudes towards the statistics courses they take: Statistical attitude scale (SAS)
The aim of this study is to develop a Likert type scale to measure the attitudes of university students towards the statistics course they take. Firstly, first and third grade students from Ondokuz Mayis University Arts ... -
Sensitivity analysis and random dynamics for a mathematical model of tuberculosis transmission
Bekiryazıcı, Zafer (Taylor & Francis Ltd., 2023)In this study, a recent mathematical model for the spread of tuberculosis disease will be analyzed under random conditions. The sensitivity of the basic reproduction number to the changes in the parameters will be analyzed ... -
Solving of Some Random Partial Differential Equations by Using Differential Transformation Method and Laplace- Padé Method
In this study, the solutions of random partial differential equations are examined. The parameters and the initial conditions of the random component partial differential equations are investigated with Beta distribution. ... -
Transmission of cholera disease with laplacian and triangular parameters
Merdan, Mehmet; Bekiryazıcı, Zafer; Kesemen, Tülay; 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 ... -
Utilizing fractional derivatives and sensitivity analysis in a random framework: a model-based approach to the investigation of random dynamics of malware spread
Bekiryazıcı, Zafer (Springer, 2024)In this study, an ordinary-deterministic equation system modeling the spread dynamics of malware under mutation is analyzed with fractional derivatives and random variables. The original model is transformed into a system ...
