The role of media coverage on the dynamical behavior of smoking model with and without spatial diffusion

Abstract

The spread of epidemic diseases still a major threat to the life of communities. Therefore, with the great development of the technology, the spread of diseases can be reduced by using media coverage awareness. In this paper a smoking model incorporating media coverage for warranting the population is proposed and studied. The dynamics of the model is investigated in two different cases: nonexistence and existence of diffusion. The existence, positivity and bounded-ness of solutions are investigated. The local and global stability by the help of Lyapunov function of all possible equilibrium points are investigated. Moreover, numerical simulations are carried out to validate the analytical results and specify the effect of varying the parameters.