Table 1. Parameters of the model, including definitions, units, and values.
See the S2 File for derivation and data sources for parameter estimates.
| Parameter | Definition | Units | Value |
|---|---|---|---|
| b | Host fecundity rate | eggs/adult/day | 15 |
| g | Immature host development rate (egg to adult) | 1/day | 0.0385 |
| c | Larval consumption rate of milkweed | leaves/day | 1.35 |
| pE | Probability of infected larva eclosing and mating successfully | 0.72 | |
| μ0 | Density-independent per capita larval mortality rate | 1/day | 0.08 |
| μ1 | Density-dependent per capita larval mortality rate based on a larval density of 0.25 larvae/plant | 1/day | 1372 |
| μA | Mortality of uninfected adult monarchs | 1/day | 0.0417 |
| μI | Mortality rate of infected adult monarchs | 1/day | 0.05 |
| λ | Shedding rate of infectious doses onto leaves (per adult) | leaves/day | 1–300 |
| μw | Decay rate of infectious doses on milkweed leaves | 1/day | 0.0125–1.0 |
| S0 | Initial uninfected adult monarch population size | adults | 18 |
| I0 | Initial infected monarch population size | adults | 2 |
| M | Total number of milkweed leaves in patch | leaves | 25000 |
| T | Length of breeding season | days | 100 |