Table 2.
Definitions and corresponding values of the model parameter with the daily timescale
| Parameter | Meaning | (Value, [reference]) or estimation |
|---|---|---|
| μ E | mortality rate of eggs | (0.0025, [1]) |
| μ QL | mortality rate of questing larvae | (0.006, [1]) |
| μ QN | mortality rate of questing nymphs | (0.006, [1]) |
| μ QA | mortality rate of questing adults | (0.006, [1]) |
| μ FL | natural mortality rate of feeding larvae | (0.038, A) |
| μ FN | natural mortality rate of feeding nymphs | (0.028, A) |
| μ FA | natural mortality rate of feeding adults | (0.018, A) |
| H 1 | the number of white-footed mice | (200, [1]) |
|
transmission probability from H 1 to larvae | (0.6, [13]) |
|
transmission probability from nymphs to H 1 | (1, [13]) |
|
death rate of the white-footed mice | (0.012, [13]) |
| H 2 | the number of alternative host H 2 | (variable) |
|
transmission probability from H 2 to larvae | (variable, [36]) |
|
transmission probability from nymphs to H 2 | (variable, [36]) |
|
death rate of the alternative host H 2 | (variable) |
| D | the number of deer | (20, [1]) |
| p | the maximum number of eggs produced | (3000, [1]) |
| p 1 | larval biting bias for host H 2 | (variable, [37]) |
| p 2 | nymphal biting bias for host H 2 | (variable, [37]) |
| b(t) | birth rate of eggs produced | (see subsection ‘Time-dependent parameters’) |
| d E(t) | development rate of eggs | (see subsection ‘Time-dependent parameters’) |
| d L(t) | development rate of larvae | (see subsection ‘Time-dependent parameters’) |
| d N(t) | development rate of nymphs | (see subsection ‘Time-dependent parameters’) |
| F L(t) | feeding rate of larvae | (see subsection ‘Time-dependent parameters’) |
| F N(t) | feeding rate of nymphs | (see subsection ‘Time-dependent parameters’) |
| F A(t) | feeding rate of adults | (see subsection ‘Time-dependent parameters’) |
| D L | density-dependent mortality rate of feeding larvae | ( , E) |
| D N | density-dependent mortality rate of feeding nymphs | ( , E) |
| D A | density-dependent mortality rate of feeding adults | ( , E) |
Where E: estimation based on [38] and A: assumption.