Showing papers by "Mehmet Merdan published in 2022"
TL;DR: In this article , the mathematical model of the discrete-time equation system with susceptible diabetes complication (SDC), which is known to be caused by environmental and genetic factors in a fuzzy environment, was examined.
Abstract: In this study, we examined the mathematical model of the discrete-time equation system with susceptible diabetes complication (SDC), which is known to be caused by environmental and genetic factors in a fuzzy environment. From the diabetes complication (DC) model, the susceptible diabetes complication (SDC) model is being developed. It was obtained using definitions of how the behavior of this model changes in a fuzzy environment. A nonlinear differential equation system transforms the sensitive diabetes complication (SDC) model into a discrete time equation system. Stability analysis of the model with jury criterion was examined. In addition, numerical solutions and graphics of the analysis of the discrete model in fuzzy environment are obtained by using the MATLAB package program.
TL;DR: In this paper, a theoretical model of Zika virus transmission with random parameters is investigated and the approximate solutions of the model are analyzed with modified random differential transformation method, which performs better than random differential transform method on long time intervals.
Abstract: 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
equations. The approximate solutions of the model are analyzed with modified
random differential transformation method. It is seen that modified random
differential transformation method performs better than random differential
transformation method on long time intervals.