Yazar "Kesemen, Tülay" için listeleme
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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 ... -
The class of L boolean AND D and Its application to renewal reward process
Kamışlık, Aslı Bektaş; Kesemen, Tülay; Khaniyev, Tahir (Amer Inst Physics, 2018)The class of L boolean AND D is generated by intersection of two important subclasses of heavy tailed distributions: the long tailed distributions and dominated varying distributions. This class itself is also an important ... -
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 ... -
Inventory model of type (8,8) with subexponential weibull distributed demand
In this study we consider semi-Markovian inventory model of type (5, S) with Subexponential Weibull distributed demand and uniform distributed interference of chance. By using special asymptotic expansion proposed by Geluk ... -
Inventory model of type (s, S) under heavy tailed demand with infinite variance
Kamışlık, Aslı Bektaş; Kesemen, Tülay; Khaniyev, Tahir (Brazilian Statistical Association, 2019)In this study, a stochastic process X(t), which describes an inventory model of type (s, S) is considered in the presence of heavy tailed demands with infinite variance. the aim of this study is observing the impact of ... -
Investigation the ergodic distribution of a semi-Markovian inventory model of type (s,S) with intuitive approximation approach
Bektaş Kamışlık, Aslı; Alakoç, Büşra; Kesemen, Tülay; Khaniyev, Tahir (Ankara Yildirim Beyazit University, 2023)This paper concerns a stochastic process X(t) expressing (s, S) type inventory system with intuitive approximation approach. The ergodic distributions of the process X(t) can be analyzed with the help of the renewal function. ... -
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 ... -
Moment-based approximations for stochastic control model of type (s, S)
Kamışlık, Aslı Bektaş; Baghezze, Feyrouz; Kesemen, Tülay; Khaniyev, Tahir (Taylor & Francis Ltd., 2023)In this study, we propose an approximation for a renewal reward process that describes a stochastic control model of type (s, S) based on the first three moments of demand random variables. Various asymptotic expansions ... -
On the application of random walk with delay and pareto distributed interference of chance to an insurance model
Kesemen, Tülay; Küçük, Zafer; Khaniyev, Tahir; Yetim, Fuat; Bektaş Kamışlık, Aslı (Gazi Univ, 2016)In this study, a semi-Markovian random walk with Pareto distributed interference of chance and delay is considered. Some exact formulas for the first four stationary moments of the process are obtained when the random ... -
On the moments for ergodic distribution of an inventory model of type (s; S) with regularly varying demands having infinite variance
In this study a stochastic process X(t) which represents a semi Markovian inventory model of type (s,S) has been considered in the presence of regularly varying tailed demand quantities. The main purpose of the current ... -
A semi-Markovian renewal reward process with (g) distributed demand
We consider a classical semi-Markovian stochastic model of type (s, S) with Logistic distributed demand random variables. Logistic distribution is a member of special distribution class known as (g) that encounters in many ... -
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 ... -
Üçgensel Müdahaleli Yarı-Markov (s,S) Tipli Modellerin Momentleri İçin Tahmin Ediciler
Bu çalışmada üçgensel müdahaleli (s,S) tipli yarı-Markov bir envanter(stok kontrol) model yenileme süreci ele alınmış, ve bu sürecin ergodik dağılımının momentleri için tahmin edici problemi araştırılmıştır. Yenileme ...
