Atıf İçin Kopyala
Öztürk Z., Bilgil H., Sorgun S.
New Trends in Mathematical Science, cilt.10, sa.4, ss.54-62, 2022 (Hakemli Dergi)
Özet
Smoking is one of the most common habits in the world. Due to the harmful substances contained in it cigarette disturb
people’s health and causes their death. Every year, many people lose their health from smoking or by direct exposure to cigarettes. In
this study, we conducted a new application and stability analysis related to a fractional model of cigarette use. This model consists of
three compartments: potential smokers (P), smokers (S) and defi-nitely quitters of smoking (Qp). The fractional derivative is used in the
sense of Caputo. In this article, we develop a fractional mathematical model to illustrate the consequences of smoking habit in Turkey
by the Caputo fractional-order derivative. In addition to stability analysis, numerical solutions are obtained by using Euler method for
different values of fractional order