Before revision:  This leads to quite different predictions of the peak infection rateand final outbreak size, with the second-order model giving milder predictions of each. This has dramatic effects on the extrapolation of a disease's progression when the data collected comes from the early, exponential-like region, and may remove a systematic bias from such models .
After revision:  This leads to quite different predictions of the long-term infection rate, and suggests that first-order models that are parameterized in the exponential-like region, and may remove a systematic bias from such models .