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# Table 2 Malaria transmission parameter values for the baseline, untreated case (corresponding to the subscript “*u*”) and treatment cases (corresponding to the subscript “*t*”)

From: Multi-year optimization of malaria intervention: a mathematical model

Symbol | Description |
Baseline value (untreated) | Treatment value | ||||
---|---|---|---|---|---|---|---|

LLIN | IRS | IPT | ACT | Vaccine | |||

\(a_u\), \(a_t\) | Bites per mosquito per human per day | 0.25 [33] | \(a_u(1-\beta )\) [15] | ||||

\(b_u\), \(b_t\) | Transmission efficacy from infected mosquito to susceptible, untreated human | 0.022 [33] | 0.0047 | 0.005 | |||

\(\beta\) | Proportion of bites that would occur while sleeping | 0.8 [15] | |||||

c
| Transmission efficacy from infected human to mosquito | 0.36 [33] | |||||

\(\delta\) | Daily birth rate and death rate assuming constant population | \(4.7895*10^{-5}\) [34] | |||||

\(\gamma _u\), \(\gamma _t\) | Recovery rate in humans | \(\frac{1}{180}\) [35] | \(\frac{1}{10}\) | \(\frac{1}{5.5}\) | |||

\(m_u\), \(m_t\) | Mosquitoes per human | 20 [13] | \(m_u(1-\beta \chi _{LLIN})\) |
\(m_{u,IRS}=m_u(1-q\chi _{IRS_u})\)
\(m_{t}=m_u(1-\chi _{IRS_t})\) [38] | |||

\(\mu\) | Mosquito mortality rate | 0.095 [35, 36] | |||||

\(\omega\) | Duration of immunity without reinfection | 274 days [37] | |||||

q
| Treatment coverage | 0.2, 0.4 or 0.6 | |||||

\(\tau\) | Incubation period in mosquito | 10 days [36] | |||||

x
| Fraction of the population | 0.146 [34] | |||||

0–4 years of age | |||||||

\(\chi _{LLIN}\) | Probability of mosquito mortality when exposed to a treated net | 0.8 [14] | |||||

\(\chi _{IRS_t}\) | Percent reduction in mosquito density in a house treated with IRS | 0.95 [38] | |||||

\(\chi _{IRS_u}\) | Percent reduction in mosquito density in an untreated house when all nearby houses are treated with IRS | 0.5 [38] |