Table 1.
List of state variables and parameters in the classic ‘non-nested’ and ‘nested’ models.
parameter/variable | description | non-nested | nested |
---|---|---|---|
R | density of resource | — | — |
S | density of susceptible hosts | — | — |
Q(Qm) | density of hosts infected with the resident (mutant) parasite | — | — |
E | within-host energetics | — | — |
I | within-host immune function | — | — |
P | within-host parasite burden | — | — |
t | time (population-level/between-host) | — | — |
τ | time (individual-level/within-host) | — | — |
ρ | resource maximum growth rate | 1.0 | 1.0 |
K | resource carrying capacity | 0.5–15 | 0.5–15 |
f | consumer (host) resource ingestion rate | 1.0 | 1.0 |
h | resource ingestion half-saturation constant | 1.0 | 1.0 |
e | consumer (host) conversion efficiency | 0.5 | 0.5 |
d | consumer (host) background mortality rate | 0.05–0.3 | 0.05–0.3 |
β0 | max per-host transmission rate | 15 | 15 |
βh | parasite transmission half-saturation constant | — | 100 |
v(vm) | virulence rate of resident (mutant) | determined | — |
v0 | per-parasite virulence rate | — | 0.01 |
r | rate of host energy use for non-parasite purposes | — | 1.0 |
aB | baseline energy allocation rate to immunity | — | 0.1 |
aI | induced energy allocation rate per parasite killed by the immune response | — | 0.1 |
fI | killing rate, per immune cell | — | 0.1 |
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energy exploitation rate, per resident (mutant) parasite | — | determined |
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cost of producing immune cell | — | 0.1 |
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cost of producing pathogen | — | 0.1 |
mI | immune cell background mortality rate | — | 0.1 |
mP | parasite background mortality rate | — | 0.01 |