Summary: A recent paper [

*R. Xu* and

*Z. Ma*, Nonlinear Anal., Real World Appl. 10, No. 5, 3175–3189 (2009;

Zbl 1183.34132)] presents an

$SIR$ model of disease transmission with delay and nonlinear incidence. The analysis there only partially resolves the global stability of the endemic equilibrium for the case where the reproduction number

${\mathcal{R}}_{0}$ is greater than one. In the present paper, the global dynamics are fully determined for

${\mathcal{R}}_{0}>1$ by using a Lyapunov functional. It is shown that the endemic equilibrium is globally asymptotically stable whenever it exists.