Theory and Modern Applications
Table 1 Parameter interpretations, value ranges and sources of model ( 1 )
From: The roles of maturation delay and vaccination on the spread of Dengue virus and optimal control
Param. | Description | Value | Source |
|---|---|---|---|
b | Average number of bites by infectious mosquitoes (day−1) | [0,1] | [10] |
\(\beta_{hm}\) | Transmission probability from infectious individuals to mosquitoes | [0,1] | [10] |
\(\beta_{mh}\) | Transmission probability from infectious mosquitoes to humans | [0,1] | [10] |
\({1}/{\mu_{h}}\) | Average human life expectancy (day) | [18250,27375] | [23] |
\(\eta_{h}\) | Dengue recovery rate in humans (day−1) | [0.1,0.6] | [23] |
1/α | Size of mosquitoes at which egg laying is maximized without delay | - | - |
\(r_{m}\) | Maximum per capita daily mosquito egg production rate (day−1) | [0.036,42.5] | [22] |
τ | Maturation time of the mosquito (day) | [5,30] | [22] |
\(d_{j}\) | Death rate of juvenile mosquitoes (day−1) | [0.28,0.46] | [22] |
\(d_{m}\) | Natural death rate of adult female mosquitoes (day−1) | [0.016,0.25] | [23] |
q | Vertical transmission probability of virus in mosquitoes | [0,1] | - |
ψ | Fraction of susceptible class that has been vaccinated | [0,1] | - |
θ | Waning rate of immunity | [0,1] | - |
σ | Infection rate of vaccinated members | [0,1] | - |