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. Author manuscript; available in PMC: 2013 Aug 1.
Published in final edited form as: J Am Vet Med Assoc. 2013 Aug 1;243(3):411–423. doi: 10.2460/javma.243.3.411

Table 1.

Results of stochastic modeling to simulate outbreaks of bovine tuberculosis in herds of various sizes and replacement rates following introduction of 1 latently infected animal.

Replacement rate (1/y) Herd size No test-based culling Slaughterhouse detection-based testing and culling Constant testing test-based culling
Probability of fadeout Time to fadeout (mo) Probability of fadeout Time to fadeout (mo) Probability of fadeout before detection Time to detection of M bovis (mo) Probability of fadeout
0.33 Small 0.66 (0.63–0.72) 16 (1–116) 0.99 (0.98–0.998) 24 (1–119) 0.88 (0.87–0.91) 29 (1–119) 0.999 (0.995–1)
Medium 0.62 (0.57–0.67) 15 (1–118) 0.99 (0.98–0.998) 23 (1–119) 0.58 (0.53–0.63) 27 (1–117) 0.99999 (0.999–1)
Large 0.53 (0.48–0.58) 12 (1–110) 0.99 (0.98–0.999) 27 (1–116) 0.58 (0.53–0.63) 30 (1–112) 0.9999 (0.999–1)
0.17 Small 0.43 (0.38–0.48) 20 (1–115) 0.96 (0.95–0.98) 39 (1–119) 0.77 (0.72–0.81) 43 (1–120) 0.999 (0.994–1)
Medium 0.43 (0.37–0.48) 19 (1–111) 0.97 (0.95–0.99) 37 (1–119) 0.75 (0.70–0.79) 42 (1–120) 0.999 (0.994–1)
Large 0.43 (0.37–0.47) 20 (1–117) 0.97 (0.95–0.98) 38 (1–119) 0.74 (0.70–0.79) 42 (1–120) 0.999 (0.993–1)

Small, medium and large herds comprised 40, 276, and 3,000 cattle, respectively. The time of introduction of the infected animal was considered day 0. The model was run for a 10-year period; variability was assessed by performing 1,000 simulations of 1,000 herds each for each of the 6 scenarios. In the base model, no test-based culling was performed. Under the current slaughterhouse detection-based testing and culling strategy, whole-herd tests were performed after detection of M bovis infection in an animal via postmortem inspection. Under the constant testing strategy, whole-herd tests were performed annually unless infection was detected. For both testing strategies, test-based culling was implemented at 3 month intervals after detection according to USDA recommendations. Fadeout refers clearance of M bovis infection from the herd. Probabilities of fadeout are presented as mean (range) data; time to detection and time to fadeout are presented as median (range).