dynamical study of addiction modelling under some control strategies

In this work, a paradigm for drugs and addiction is put forth and examined. it is a given that the model took the impact of governmental policies and the addict’s control into account. the designer’s solution’s availability, uniqueness, and bounds should be first addressed. second, we investigated each equilibrium pointe’s existence and localized stability. additionally, some of the prerequisites for the optimistic equilibrium’s global stability are identified. finally, a computational domain is used to illustrate the theoretical result.