Table 1.
Summary of predictions.3
| ξ-dependence | Context | Parameter | Prediction |
|---|---|---|---|
| υ ~ ξ−σ | γ = 0, β > 0 | σ > 0 | Persistence ↑ virulence ↑ |
| υ ~ ξ−σ | γ > 0, β = 0 | 0 < σ < 1 | Persistence ↑ virulence ↑ |
| σ > 1 | Persistence ↔ virulence ↔ | ||
| υ ~ ξ−σ | γ,β > 0 | σ small | Persistence ↑ virulence ↑ |
| σ large | ESS varies with parameters | ||
| α ~ ξσ | 0< σ < 1 | Persistence ↑ infectiousness ↓ | |
| σ > 1 | Persistence ↓ infectiousness ↑ | ||
| γ ~ ξσ | β = 0 | 0 < σ < 1 | Persistence ↑ shed rate ↓ |
| σ > 1 | Persistence ↓ shed rate ↑ | ||
| β ~ ξσ | γ = 0 | 0 < σ < 1 | Persistence ↑ burst size ↓ |
| σ > 1 | Persistence ↓ burst size ↑ | ||
| ln[γ + β] ~ ξ−1 | FLP mass ~ ξ−1 | Persistence, FLP mass, FLP number ↔ | |
| Number greater in harsh environment | |||
| 0 < σα + συ < 1 | σα, συ > 0 | Infectiousness ↓ persistence ↑ virulence ↑ | |
| α ~ ξσα; υ ~ ξ−συ | σα + συ > 1 | 0 < σα < 1 | Infectiousness ↔ persistence ↔ virulence ↔ |
| σα + συ > 1 | σα > 1 | Infectiousness ↑ persistence ↓ virulence ↓ | |
3
First column shows trait’s functional dependence via its scaling with FLP decay rate ξ. υ is virulence, α is infectiousness, γ is shed rate, and β is burst size; σ-values shape trait interactions. ↑ indicates that strain competition favors increase in a trait, ↔ indicates that strain competition favors an intermediate optimal trait value, and ↓ indicates that strain competition favors reduction in a trait.