Reading this Jeppesen newsletter, one may get the impression that there's just one bio-mathematical fatigue model available; the Boeing Alertness Model. However, there are several different models to choose from, for an airline operator to use within their fatigue risk management system, all with their own pros and cons. A good starting point is a document comparing the available models, the ''Biomathematical Fatigue Models - Guidance Document", by CASA, published back in 2014. Please find it via this link.
In addition, you may find this comparison matrix from Jeppesen also helpful when placing several models side by side, comparing how they stack up against each other in terms of model capabilities.
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