Fuzzy Analysis of Artificial Drug Transmission Model with Optimal Control

This article presents an artificial drug abusers system consolidating the impact of treatment with psychological and physiological addicts under fuzzy parameters. In model, all parameters are considered to be triangular numbers represent uncertainty that pervaded dynamics. To handle arrangements while avoiding problems, model is turned into a defuzzified using utility function method. The model’s positivity boundedness carefully explored, equilibrium analysis also completed. Both drug-addict drug-free have established stability analyses. explains optimum control Pontryagin’s maximum principle. Finally, it shown alongside counselling conducting awareness programs more fruitful drug-related controlling viable in nature. Likewise, we plot 3D associations which show inventiveness appropriateness results.