Global dynamics of a controlled discontinuous diffusive SIR epidemic system.

In this work, we investigate the global dynamics of a controlled discontinuous diffusive SIR epidemic system under Neumann boundary conditions. We first establish the conditions for the existence of the solution and obtain the boundedness of the solution for the controlled discontinuous diffusive system. Then, under the framework of differential inclusion, we study the existence of constant equilibria of the controlled diffusive epidemic system. Furthermore, we discuss the global dynamical behaviour of the controlled discontinuous diffusive epidemic system. [ABSTRACT FROM AUTHOR]