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Table 2 Definitions and corresponding values of the model parameter with the daily timescale

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])
β H 1 L transmission probability from H1 to larvae (0.6, [13])
β N H 1 transmission probability from nymphs to H1 (1, [13])
μ H 1 death rate of the white-footed mice (0.012, [13])
H 2 the number of alternative host H2 (variable)
β H 2 L transmission probability from H2 to larvae (variable, [36])
β N H 2 transmission probability from nymphs to H2 (variable, [36])
μ H 2 death rate of the alternative host H2 (variable)
D the number of deer (20, [1])
p the maximum number of eggs produced (3000, [1])
p 1 larval biting bias for host H2 (variable, [37])
p 2 nymphal biting bias for host H2 (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 ( 0.001084 H 1 + p 1 H 2 , E)
D N density-dependent mortality rate of feeding nymphs ( 0.001084 H 1 + p 2 H 2 , E)
D A density-dependent mortality rate of feeding adults ( 0.001084 D , E)
  1. Where E: estimation based on [38] and A: assumption.
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Theoretical Biology and Medical Modelling

ISSN: 1742-4682