In this article, we present a predictive model for assessing lung cancer risk among smokers, incorporating factors related to social network behavior (both negative and positive) and other risk factors. The model is mathematically represented by a nonlinear temporal system of ordinary differential equations. We perform a stability analysis of the stationary solutions to theoretically confirm the mathematical validity of the model. Numerical simulations are provided to demonstrate the usefulness of the developed model. The results illustrate the significant role of smoking social networks in the spread of smoking habits, which consequently leads to a higher incidence of lung cancer, a major concern in contemporary society.