The dynamics of an SIS epidemic model with fixed-time birth pulses and state feedback pulse treatments

Abstract Fixed-time birth pulse and state feedback pulse treatment are considered in an SIS epidemic model in this paper. The dynamical behavior is discussed by means of both theoretical and numerical analysis. The disease-free solution, trivial solution, epidemic periodic solutions, and permanence of the system are investigated. Moreover, numerical results for phase portraits, periodic solutions, and permanence of the system, which are illustrated with an example, are in good agreement with the theoretical analysis. The superiority of the mixed control strategy is also discussed.