Schematic of a compartment model for bovine tuberculosis in a cow-calf herd. Animals in compartments labeled with subscript A, C, and Y are adult breeding animals, calves, and youngstock, respectively. Animals enter the herd as calves during the calving season at rate b(t), such that all adults calve over a 3 month period, and all calves are subject to an annual death rate (μc). Susceptible animals are in S compartments, latent (exposed) animals are in E compartments, non-infectious animals that may be detected by testing are in T compartments, and infectious animals are in I compartments. Calves may enter the breeding herd at rate (ω(t)); otherwise, all calves are moved to a youngstock cohort at rate (ρ(t)). Youngstock are slaughtered as a cohort at 30 months of age.