With the dynamical systems approach possible switches between the two states are explored (repeated relapses). Under identical external conditions both may be stable (hysteresis). Essential in the dynamical model is a nonlinear component which determines the configuration of the two stable states of the system: being dependent or not dependent. Furthermore, the way chance affects a therapeutic addiction intervention is analysed by carrying out a Monte Carlo simulation. Although craving is the dominant variable in the process of addiction, the moment of getting dependent is clearly marked by a switch in a variable that fits the definition of addiction vulnerability in the literature. With the model it is shown how a person can get addicted when changing lifestyle. The latter are formulated as events that are Poisson distributed in time. The model equations contain terms that represent external forces such as societal rules, peer influences and cues. They determine the change in time of two state variables, craving and self-control. Furthermore, a lack of self-control is one of the key aspects of addiction (Davis, 2001, Young and Rogers, 1998), as has been noted before. The dynamics of the addictive behaviour is described by a mathematical model consisting of two coupled difference equations. Through self-monitoring, self-control helps individuals to become aware of their behavior and its impact on themselves, others, and the environment. The aim is to describe the process of addiction as a dynamical system in the way this is done in the natural and technological sciences. Alcohol consumption is an example of such addictive habit. You could just as easily say that no one has self-control since everyone is addicted to. ABSTRACT The outbreak of COVID-19 impacted numerous people globally, but most notably affected adolescents negatively by contributing to the increase in their use of media and smartphones and therefore their susceptibility to smartphone addiction. Nevertheless, in the long term such behaviour may result in health damage. There is more to life (even the life of a drug addict) then drugs. This study deals with addictive acts that exhibit a stable pattern not intervening with the normal routine of daily life.
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