A delayed diffusive influenza model with two-strain and two vaccinations

Abstract This paper deals with the global stability of a delayed diffusive influenza model with two-strain and two vaccinations. First, we consider the well-posedness of solutions of the model and show that the model admits four constant equilibria: a disease-free equilibrium, two single-strain-infection equilibria, and a double-strain-infection equilibrium, which are determined by three threshold parameters R 1 , R 2 and R 3 (or R 4 ). Second, constructing four suitable Lyapunov functionals and using the LaSalle’s invariant principle, we establish the global stability of these equilibria. Finally, we give several numerical simulations to illustrates the analytic results.