Anaerobic filters are frequently used to treat medium to high strength wastewater (2000-20000 mg/L COD), but have fewer applications to low strength wastewater (< 1000 mg/L COD). In order to understand the applicability of anaerobic treatment for low strength wastewater, such as domestic sewage, a dynamic mathematical model was developed. This Monod-type kinetic model, which predicts treatment efficiency and gas production, was used to describe literature observations and is offered as a predictive tool.