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. 2013 Apr 30;141(7):1382–1389. doi: 10.1017/S0950268813000927

Table 1.

Models of the equilibrium relationships between the proportion (P) of cattle plus farmed deer herds with bovine TB at 30 June each year and annual possum (V) control costs and annual disease (D) control costs during the previous 12 months

Number Model Diminishing returns? Asymptote?
1 P = a + bV No No
2 P = a + (b/V) Yes Yes (a)
3 P = a + bD No No
4 P = a + (b/D) Yes Yes (a)
5 P = a + b(V + D) No No
6 P = a + (b/(V + D)) Yes Yes (a)

Models 2, 4 and 6 assume that control costs are greater than 0 and show diminishing returns and an asymptote (a).