Abstract
<abstract> The rank one chaos in a SIR model with two time-delays is studied in this paper. By using center manifold theorem, normal form theory and Hassard's method, the existence, direction and stability of Hopf bifurcation are discussed. Based on the rank-one chaos theory for delayed differential equations, the conditions for the existence of rank-one strange attractor in disturbed system are obtained. Finally, numerical simulations are given to verify the theoretical analysis results. </abstract>
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