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The aim of the study is to identify its medicinal apply via analyzing the essential oils chemical composition obtained from Asphodeline globifera grown in Turkey. By applying the retention index from the Van den Dool and Kratz equation and evaluating chemical compositions of the essential oil are characterized by gas chromatography-mass spectrometry. The Van den Dool and Kratz equation results have the potential to be used not only in the chemical compositions of the oils, but also in applied mathematics and other fields. Recently, the first author [2] constructed a new special finite sum. In addition, the first author also gave a lower bound and inequality for the finite sum containing the dead time related to the isocratic step. In the same manner, he also gave several applications and criticisms including the mentioned lower bound and inequality for these sums and its effects on the chemical compositions of essential oil and the Van den Dool and Kratz equation. [ABSTRACT FROM AUTHOR]

In this study, we developed a mathematical model to study the transmission dynamics of HIV infection and analyzed the effect of horizontal and vertical transmission in Turkey. We fit the model by using confirmed HIV cases of both vertical and horizontal transmission between 2011 and 2018. By using the next generation operator, we obtained the basic reproduction number of the model which shows whether the disease persists or dies out in time. Further, the most sensitive parameters, that are efficient for the control of the infection, obtained by using forward normalized sensitivity index. The results obtained with the aid of mesh and contour plots. [ABSTRACT FROM AUTHOR]