Cost-effectiveness of canine vaccination to prevent human rabies in rural Tanzania

. Author manuscript; available in PMC: 2014 Jul 21.

Published in final edited form as: Ann Intern Med. 2014 Jan 21;160(2):91–100. doi: 10.7326/M13-0542

Appendix Table 1 Transmission model equations

dS_d/dt = b_d*(S_d + V_d) – μ_d*S_d – γ_d*S_d*N_d – β₁₁*I_d*S_d – β₁₂*I_w*S_d – (v*N_d – V_d)

dS_d/dt = β₁₁*I_d* S_d + β₁₂*I_w* S_d – μ_d*E_d – γ*E_d*N_d – σ*E_d

dI_d/dt = σ*E_d – μ_d *I_d – γ*I_d*N_d – α*I_d

dV_d/dt = (v*N_d – V_d) – μ_d *V_d – γ*V_d*N_d

dS_w/dt = (b_w-μw)* S_w – γ_w*S_w*N_w – β₂₂*I_w*S_w – β₂₁*I_d*S_w

dE_w/dt = β₂₂*I_w*S_w + β₂₁*I_d*S_w – μ_w*E_w – γ*E_w*N_w – σ*E_w

dI_w/dt = σ*E_w – μ_w*I_w – γ*I_w*N_w – α*I_w

N_d = S_d + E_d + I_d + V_d

N_w = S_w+ E_w + I_d

Blue portions are active only during vaccination campaigns.