Table 1 Parameters and dependent variables and their interpretation
From: An immuno-epidemiological model for Johne’s disease in cattle
Variable or parameter | Meaning |
|---|---|
M u (τ) | Number of uninfected macrophages at time τ |
M i (τ) | Number of infected macrophages at time τ |
C (τ) | Number of immune cells at time τ |
r | Total recruitment rate for uninfected cells |
α | Infection rate of uninfected macrophages by infected macrophages |
d 1 | Natural death rate for uninfected macrophages |
δ | Death rate of infected macrophages |
d 2 | Clearance rate for immune cells |
k | Stimulation rate of immune response from infected cells |
ε 1 | Reciprocal of half saturation constant for killing of infected macrophages |
ε 2 | Reciprocal of half saturation constant for immune response stimulation rate |
ε 3 | Reciprocal of half saturation constant for killing of infected macrophages |
c | Reciprocal of half saturation constant for macrophages infection rate |
p | Killing rate of infected macrophages by immune response. |