Dose-response relationships for environmentally mediated infectious disease transmission models
Fig 4
Vibrio cholerae dose–response and dynamics.
a) Maximum-likelihood estimates of dose–response functions for buffered Inaba strain of Vibrio cholerae. Buffering was used in this experiment to approximate eating contaminated food, as food buffers stomach acid; because Vibrio cholerae does not tolerate gastric acidity, a buffered strain is more infectious. Data from [50]; sizes of data points correspond to sample size. Best-fit parameters are given in Table 3. b) Modeled fraction of infected people under different Vibrio cholerae dose–response relationships. Model parameters are N = 1000, S0 = 999, I0 = 1, W0 = 0, σ = 5/2 [51], γ = 1/5 [9], κ = 8 and ρ = 0.15 so that κρ = 1.2 L [47], V = 4E8, α = 2E6/V, μ = 0.23 [9]. Model results using the exact and approximate beta–Poisson functions lie nearly on top of each other, and those using the Hill-1 and exponential functions have no outbreak.