Yazar "Merdan, Mehmet" 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 ... -
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 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 ... -
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 ... -
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 simplified neutrosophic multiplicative set-based TODIM using water-filling algorithm for the determination of weights
Köseoğlu, Ali; Şahin, Rıdvan; Merdan, Mehmet (Wiley, 2020)Due to the technological developments around the world, the amount of information that researchers work on increases continuously. This information density contains incomplete and uncertain data that cannot be fully expressed ... -
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 ... -
Wong-Zakai approximation for stochastic models of smoking
Şengül, Süleyman; Bekiryazıcı, Zafer; Merdan, Mehmet (Yıldız Technical University, 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
Şengül, Süleyman; Bekiryazıcı, Zafer; Merdan, Mehmet (Vinca Institute Nuclear Science, 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 ...
