Table 1 Model parameters.
From: Quantifying the impact of Wolbachia releases on dengue infection in Townsville, Australia
Parameter | Description | Value | Dimension | References |
|---|---|---|---|---|
\(b_{u}\) | Biting rate of non-Wolbachia mosquitoes | 0.3 | Per day | |
\(b_{w}\) | Biting rate of Wolbachia-infected mosquitoes | 0.95 \(b_{u}\) | Per day | |
\(\psi_{h}\) | Progression rate from exposed to infectious human | 1/5.5 | Per day | |
\(\psi_{u\left( w \right)}\) | Progression from exposed to infectious non-Wolbachia (Wolbachia) mosquitoes | 0.1 | Per day | |
\(\mu\) | Human death rate | 0.000034 | Per day | |
\(\mu_{uA}\) | Death rate of aquatic non-Wolbachia mosquitoes | 0.02 | Per day | |
\(\mu_{wA}\) | Death rate of aquatic Wolbachia mosquitoes | 0.02 | Per day | |
\(\mu_{u}\) | Death rate of non-Wolbachia adult mosquitoes | 0.043 | Per day | |
\(\mu_{w}\) | Death rate of Wolbachia-carrying adult mosquitoes | 0.068 | Per day | |
\(N_{h}\) | Total human population | 187,500 | Humans | |
\(L\) | Ratio of the mosquito carrying capacity to the total human population | 10 | – | Assumed |
\(K_{max}\) | Maximum carrying capacity | \(2 N_{h}\) | Aquatic juveniles | Assumed |
\(\rho_{u}\) | Reproductive rate of non-Wolbachia mosquitoes | 13 | JUVENILES per day | |
\(\rho_{w}\) | Reproductive rate of Wolbachia-infected mosquitoes | 10 | Juveniles per day | |
\(\delta_{h}\) | Recovery rate | 0.2 | Per day | |
\(\alpha_{u}\) | Transmission probability per mosquito bite between humans and non-Wolbachia mosquitoes | 0.1976 | – | Estimated |
\(\alpha_{w}\) | Transmission probability per mosquito bite from human to Wolbachia-carrying mosquitoes | \(\alpha_{u}\) | – | Estimated |
\(\alpha_{wh}\) | Transmission probability per mosquito bite from Wolbachia-carrying mosquitoes to human | 0.0084 | – | Estimated |
\(\tau_{u\left( w \right)}\) | Maturation rate of non-Wolbachia (Wolbachia) mosquitoes | 0.11 | Per day | |
\(\gamma\) | The proportion of Wolbachia infected aquatic juveniles resulting from mating between Wolbachia-infected mosquitoes | 0.95 | – | |
\(\phi\) | The proportion of Wolbachia infected aquatic juveniles resulting from mating between Wolbachia-infected female and non-Wolbachia male mosquitoes | 0.95 | – |
