Several bifurcations of the SIS epidemic model with standard incidence and saturation treatment functions are studied.The saturation treatment function used in this model is a continuous and differentiable function that accounts for the effect of delayed treatment when the cure rate is low and the number of infections is large.The existence of disease-free and endemic equilibrium is discussed and it is shown that the system has a backward bifurcation.The local and global stability of the equilibrium of the system are analysed separately.The existence of Hopf and Bogdanov-Takens bifurcations is shown.The corresponding conclusions are drawn,the bifurcation phase diagram of the system is given,and some reasonable suggestions are made for the mathematical results obtained from the study.
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