Examination of stability analysis of Sakarya and Turkey scale alcohol use model

This work is with the mathematical model of the alcohol consuming population. For this purpose, the formulation of the model including the alcohol consuming population is presented; then the balance points related to non-alcohol use and positive alcohol use are discussed. Hurwitz theorem is used to find the local stability of the model and Lyaponov function theory is used to investigate the spherical stability. For Sakarya and Turkey, the same mathematical model with alcohol use was used, separate numerical results were presented, and stability analyzes were examined. Finally, using the numerical data, a simulation was made in Matlap with the Runge-kutta fourth order method.