Yazar "Merdan, Mehmet" için 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 ... -
Afet lojistiğinde stok kontrolüne yönelik veri analizi
Yaprak, Ünal (Gümüşhane Üniversitesi, 2015)Afet kavramının çeşitli tanımları olmakla beraber en genel ve kabul göreni Birleşmiş Milletlerin de kabul ettiği tanımdır. Bu tanıma göre; "insanlar için fiziksel, ekonomik ve sosyal kayıplara neden olan, normal yaşamı ... -
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 ... -
Analysis of Random Difference Equations Using the Differential Transformation Method
Şişman, Şeyma; Merdan, Mehmet (Hindawi Limited, 2024)The differential transformation method (DTM) is one of the best methods easily applied to linear and nonlinear difference equations with random coefficients. In this study, we apply the theorems related to the DTM to the ... -
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 ... -
An approximate solution of a model for HIV infection of CD4+ T cells
Merdan, Mehmet; Gökdoğan, Ahmet; Ertürk, Vedat Suat (Shiraz University, 2011)In this paper, the approximate solution of the differential system modeling HIV infection of CD4+ T cells is obtained by a reliable algorithm based on an adaptation of the standard variational iteration method (VIM), which ... -
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, ... -
Ayrık zamanlı duyarlı diyabet komplikasyon modelinin deterministik ve rastgele analizi
Şişman, Şeyma (Gümüşhane Üniversitesi, 2020)Bu çalışmada, diyabet hastalığının matematiksel modeli (DC) ele alınmaktadır. Bu modelde (D) insanları komplike olmayan, (C) ise karmaşık diyabetliler olmak üzere ikiye ayırmaktadır. Bunun yanı sıra diyabet, genetik ve ... -
Basitleştirilmiş neutrosophic çarpımsal kümeler ve karar verme metotları
Köseoğlu, Ali (Gümüşhane Üniversitesi, 2019)Bu çalışmanın amacı literatürde var olan sezgisel çarpımsal kümeleri neutrosophic kümelere genelleyerek basitleştirilmiş neutrosophic çarpımsal kümeleri tanımlamak ve tanımlanan bu kümeleri çok kriterli karar verme ... -
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 ... -
DYNAMICAL ANALYSIS OF THE CONFORMABLE FRACTIONAL ORDER HOST-PARASITE MODEL
Merdan, Mehmet; Şişman, Şeyma (EDITURA ACAD ROMANE, 2022)In this study, the differential equation system with a mathematical model of parasites is examined in cases where infection does not depend on transmission and defense, but on the level of infectivity and defense of the ... -
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 ... -
Genişletilmiş tümör-bağışıklık gözetimi modelinin deterministik ve stokastik analizi
Çelenkli, Semih (Gümüşhane Üniversitesi, 2019)Bu tez çalışmasında daha önce tanımlanmış olan deterministik tümör hücresi bağışıklık gözetim modelleri incelenmiş bu modellerin temel bileşenleri tek tek tanımlanarak bilimsel literatüre uygun, yeni bir tümör hücresi-bağışıklık ... -
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 ...
