Nonlinear dynamics in addiction model of tobacco

Chaotic dynamics is an active area of research by many in fields such as biology, physics, sociology, psychology, physiology, and engineering. This interest in chaos is also expanding to the social scientific fields such as politics, economics, and argument of prediction of societal events. In this paper, we propose a dynamic model for addiction of tobacco. A proposed dynamical model is originated from the dynamics of tobacco use, recovery and relapse. In order to make an addiction model of tobacco, we try to modify and rescale the existing tobacco model and Lorenz model which is chaotic model. Then, by using this, we derive a new tobacco addiction model. Finally, we obtain periodic motion, quasi-periodic motion, quasi-chaotic motion and chaotic motion from the addiction model of tobacco that we established. We say that periodic motion and quasiperiodic motion is related to pre-addiction stage or recovery stage. The quasi-chaotic and chaotic motion is related to addiction stage and relapse stage, respectively.