From: An immuno-epidemiological model for Johne’s disease in cattle
Variable or parameter | Meaning |
---|---|
S _{ C } (t) | Number of healthy calves at time t |
S _{ A } (t) | Number of healthy adults at time t |
i (τ, t) | Density of infected cattle with age-post-infection τ at time t |
B (t) | Number of bacteria in the environment at time t |
b _{ S } | Birth rate for susceptible cattle |
q (τ) | Proportion of births of infected calves from infected cows |
β _{ C } | Susceptibility of calves to infection due to milk |
μ _{ C } | Natural death rate of healthy calves |
μ _{ A } | Natural death rate of healthy adults |
μ | Natural death rate of infected cattle |
a | Rate of progression of calves to adulthood |
β _{ A } | Susceptibility of adults to infection |
γ _{ C } | Proportion of newborn calves getting infected from the environment |
γ _{ A } | Rate of infection of healthy adults from the environment |
b _{ I } (τ) | Birth rate of infected adults τ units post infection |
κ (τ) | Infectivity of infectious cattle τ units post infection |