From: Impact of biodiversity and seasonality on Lyme-pathogen transmission
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]) |
{\beta}_{{H}_{1}L} | transmission probability from H_{1} to larvae | (0.6, [13]) |
{\beta}_{N{H}_{1}} | transmission probability from nymphs to H_{1} | (1, [13]) |
{\mu}_{{H}_{1}} | death rate of the white-footed mice | (0.012, [13]) |
H _{2} | the number of alternative host H_{2} | (variable) |
{\beta}_{{H}_{2}L} | transmission probability from H_{2} to larvae | (variable, [36]) |
{\beta}_{N{H}_{2}} | transmission probability from nymphs to H_{2} | (variable, [36]) |
{\mu}_{{H}_{2}} | 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 | (\frac{0.001084}{{H}_{1}+{p}_{1}{H}_{2}}, E) |
D _{ N } | density-dependent mortality rate of feeding nymphs | (\frac{0.001084}{{H}_{1}+{p}_{2}{H}_{2}}, E) |
D _{ A } | density-dependent mortality rate of feeding adults | (\frac{0.001084}{D}, E) |