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Table 1 Variables and parameters of the environmentally mediated infectious disease models

From: Phenotypic variations in persistence and infectivity between and within environmentally transmitted pathogen populations impact population-level epidemic dynamics

S(t) Number of susceptible people
I(t) Number of infectious people
R(t) Number of recovered people
W(t) Concentration of pathogens in the environment
W1(t) Concentration of labile pathogens in the environment
W2(t) Concentration of persistent pathogens in the environment
γ Recovery rate (per day)
α Deposition rate of pathogens per unit volume of environment (per day)
η Fraction of deposited pathogens that are labile
δ i Rate at which pathogen of phenotype i convert to the other phenotype (per day)
π i Per-pathogen probability of infection for phenotype i
μ i Pathogen decay rate for phenotype i (per day)
κ Rate at which individuals contact the environment (per day)
N Population size
ρ Volume of environment consumed (per contact)
V Total volume of the environment
ξ i Overall pathogen removal rate for phenotype i (per day), μi+κρN/V
τ i Average persistence of pathogen phenotype i (days)
ϕ i Probability that conversion from phenotype i occurs before decay
  1. Models incorporate monophasic pathogen decay (Eq. (1), Fig. 2a) or biphasic decay (Eq. (1), Fig. 2b)