Table 1. Model parameters and values used in the model.
Parameter | Interpretation | Values used in simulations |
n | Number of competitors in the environment | 0–17 |
rh | Host growth rate | 0.1 |
rp | Pathogen growth rate | 2.0 |
rb | Competitor growth rate | 2.0 |
Kh | Host carrying capacity | 100 |
Kp | Outside host pathogen carrying capacity | 10000 |
Kb | Outside host community carrying capacity | 10000 |
ID 50 | Infectious dose at which 50% of hosts are infected. | 3150 |
κ | Slope parameter of the sigmoid infectivity function | 4 |
β | Maximum infectivity | 4 |
δ | Host recovery rate from infection | 0.6 |
ν | Infection kill rate | 0.1 |
Between species competition strength | 0.5 | |
α | Competitive ability reduction | 0.05, 0–0.15 |
k | Number of pathogens released at host death | 500 |
η | Pathogen mortality | 1.0, 0–2.5 |
The parameters are chosen to represent a realistic scenario with a bacterial pathogen and a small multi-cellular host (see text).