Stochastic stability of stochastic switched epidemic models with constant and impulsive control schemes

摘要: Abstract This paper investigates stochastic stability for switched AIDS (Acquired Immune Deficiency Syndrome) models with constant and impulsive control schemes. The stochasticity is introduced via the technique of parameter perturbation switching assumed that parameters are time-varying functions switch their forms in time. First, a model schemes studied, new sufficient conditions established by using Lyapunov–Razumikhin method. results show system stable under condition R ¯ 1 , regardless whether subsystems unstable or stable, which implies disease could be eradicated theoretically. Furthermore, applied into model. Threshold on basic reproduction number developed guarantee stochastically stable. In addition, complex dynamic behavior positive periodic solution analyzed, imply less vaccination lead theoretically to die out. Numerical examples employed verify main results.