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

摘要

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 R1, R2 and R3 (or R4). 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.