Kurum Yazarı "Merdan, Mehmet" WoS İndeksli Yayınlar Koleksiyonu İçin 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 ... -
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 ... -
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 ... -
Transmission of Cholera Disease with Laplacian and Triangular Parameters
Merdan, Mehmet; Bekiryazici, Zafer; Kesemen, Tulay; 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
Sengul, Sueleyman; Bekiryazici, Zafer; Merdan, Mehmet (YILDIZ TECHNICAL UNIV, 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 ...