Table 1. Model Parameters.

Parameter	Definition	Estimate	Source
N	Total dog population (S+E+I+V)	203183	Arequipa Ministry of Health [24]
θ	Instantaneous per capita birth rate	θ = μN + α	Calculated to maintain a steady state equilibrium
μ	Instantaneous per capita death rate (not attributable to rabies)	1/1099.20	Calculated from survey data
γ	Instantaneous per capita rate of exposed dogs becoming infectious	1/22.3	Hampson, 2009 [25]
α	Instantaneous per capita death rate of rabid dogs attributable to rabies	1/2.53	Calculated from focus control data
ν1	Per capita vaccination rates	Changes based on yearly vaccination coverage (Table A in S2 Appendix)	Calculated from survey data
ν2	Instantaneous per capita loss of immunity rates	1/365	Nobivac and Peru Centro Nacional de Productos Biológicos [26,27]
β	Transmission coefficient	R0(γ+μ) (μ +α)/γ	Calculated based on next generation matrix methods [28]
R0	Basic reproductive number	1.44 (a range from 1.36 to 2 is presented)	Fit epidemic data