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Table 2 Model parameters and their associated values for the scenarios presented

From: A general modeling framework for exploring the impact of individual concern and personal protection on vector-borne disease dynamics

Parameter

Description

Value

References

\({\beta }^{H}\)

Transmission rate for humans

1.5 × 10–4

Assumed

\({\beta }^{M}\)

Transmission rate for mosquitos

3.0 × 10–4

Assumed

\(\uprho\)

Relative transmission for protected humans

0.2

Assumed

\({\gamma }^{\text{D}}\)

Concern of disease transmission [low, medium, high]

[15, 150, 1500]/700

Assumed

\({\gamma }^{\text{B}}\)

Concern of being bitten [low, medium, high]

[0.1, 0.5, 1]/1200

Assumed

\(1/\lambda\)

Average length of use of personal protection for susceptible humans

2

Assumed

\({\mu }^{\text{H}}\)

Natural death rate for humans

(8.6/1000)/365

[9]

\({\mu }^{\text{M}}\)

Natural death rate for mosquitos

1/13

[9]

\({\text{b}}^{\text{H}}\)

Human birth rate

(9/1000)/365

[30]

\(r\)

Human recovery rate

0.037

[31]

\(\nu\)

Maturation rate (larvae to mosquito)

1/7

[9]

\(\eta\)

Mosquito egg laying rate

10

[9]

\(p\)

Fraction of people that travel between patches

0.2

[16]

\(\epsilon\)

Environmental concern that demotivates pesticide usage for mosquito and larval control [low, medium, high]

[500, 200, 150]

[16]

\({\upgamma }^{\text{C}}\)

Demand for community level vector control influenced by disease in the population

\({e}^{-\upepsilon /50}\)

[16]

\(\tau\)

Time delay on application of control

7

Assumed

\({K}_{j}\)

Larvae carrying capacity for each patch (j)

\(\in [20000, 25000]\)

[16]

\(N\)

Number of patches

25

 
  1. We assume the same constant values for each patch, excluding the larvae carrying capacity which can vary across patches. The assumed rates were chosen to reflect early Zika outbreaks. Each rate is presented on a daily timescale