Abstract
In this paper, a discrete-time SIS epidemic model with vaccination is introduced. The stability of the model is analyzed in the equilibria, after obtaining some basic properties of the model, such as the equilibria, the basic reproduction number, and sufficient conditions for the positivity of solutions. Furthermore, the bifurcations of the model, fold bifurcation, flip bifurcation, and Neimark–Sacker bifurcation are studied. The numerical simulations verify the obtained theoretical results by discussing the diagrams of bifurcations, Lyapunov exponents, and solutions of the model.
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