Yazar "Merdan, Mehmet" için WoS İndeksli Yayınlar Koleksiyonu listeleme
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1 of 1 Analysis of a discrete time fractional-order Vallis system
Sisman, Seyma; Merdan, Mehmet (ELSEVIER, 2024)Vallis system is a model describing nonlinear interactions of the atmosphere and temperature fluctuations with a strong influence in the equatorial part of the Pacific Ocean. As the model approaches the fractional order ... -
Adaptive multi-step differential transformation method to solve ODE systems
Gokdogan, Ahmet; Merdan, Mehmet (Academic Publication Council, 2013)In this paper, it is given a fast algorithm to solve chaotic differential systems using the multi-step differential transforms method (MsDTM). The approach is applied to a number of chaotic nonlinear differential equations ... -
Adaptive multi-step differential transformation method to solving nonlinear differential equations
Gokdogan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet (Pergamon-Elsevier Science Ltd, 2012)In this paper, we propose a fast and effective adaptive algorithm for the multi-step differential transformation method (MsDTM). This approach named as the adaptive MsDTM is applied to a number of nonlinear differential ... -
ANALYSIS OF RANDOM DISCRETE TIME LOGISTIC MODEL
Merdan, Mehmet; Sisman, Seyma (Yildiz Technical Univ, 2020)In this study, the behavior of the logistic difference model is investigated under random conditions using discrete probability distributions. The logistic difference model consists of parameters that depend on the population ... -
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 ... -
APPLICATION OF CRANK-NICOLSON METHOD TO A RANDOM COMPONENT HEAT EQUATION
Anac, Halil; Merdan, Mehmet; Kesemen, Tulay (Yildiz Technical Univ, 2020)In this study, the solution of a random component heat equation is obtained by using Crank-Nicolson Method. The initial condition of this equation is examined by Normal distribution. The expected value and variance of ... -
Chaotic systems via multi-step differential transformation method
Yildirim, Ahmet; Gokdogan, Ahmet; Merdan, Mehmet (Canadian Science Publishing, 2012)In this article, the multi-step differential transform method is implemented to give approximate and analytical solutions of nonlinear fractional order ordinary differential equation systems, such as Chen, Lorenz, ... -
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 ... -
Global stability of Susceptible Diabetes Complication (SDC) model in discrete time
Sisman, Seyma; Merdan, Mehmet (Yildiz Technical Univ, 2021)In this study, the mathematical model (DC) of diabetes disease is discussed. This model divides people into (D) uncomplicated and (C) complex diabetics two. In addition, diabetes is a disease known to be caused by genetic ... -
Investigation of Behavior on Solutions of Lane-Emden Complex Differential Equations by a Random Differential Transformation Method
Merdan, Mehmet; Merdan, Merve; Şahin, Ridvan (Hindawi Limited, 2023)In this study, Lane-Emden complex differential equations have been randomized by selecting random variables for the coefficients, initial conditions, and force functions of complex differential equations. In addition, by ... -
Investigation of linear difference equations with random effects
Merdan, Mehmet; Sisman, Seyma (Springer, 2020)In this study, random linear difference equations obtained by transforming the components of deterministic difference equations to random variables are investigated. Uniform, Bernoulli, binomial, negative binomial (or ... -
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 ... -
The modified algorithm for the differential transform method to solution of Genesio systems
Gokdogan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet (Elsevier Science Bv, 2012)In this article, approximate analytical solution of chaotic Genesio system is acquired by the modified differential transform method (MDTM). The differential transform method (DTM) is mentioned in summary. MDTM can be ... -
A multistage differential transformation method for approximate solution of Hantavirus infection model
Gokdogan, Ahmet; Merdan, Mehmet; Yildirim, Ahmet (Elsevier Science Bv, 2012)The goal of this study is presented a reliable algorithm based on the standard differential transformation method (DTM), which is called the multi-stage differential transformation method (MsDTM) for solving Hantavirus ... -
A multistage variational iteration method for approximate-analytic solution of avian-human influenza epidemic model
Gokdogan, Ahmet; Merdan, Mehmet; Erturk, Vedat Suat (Academic Publication Council, 2012)In this paper, the approximate solution of avian-human influenza epidemic model is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which is called the multi-stage ...