Theory and Modern Applications
From: On the effect of postponing pregnancy in a Zika transmission model
Variables & parameters | Description | Dimension |
---|---|---|
\(N_{h}\) | Total human population | human |
\(N_{np}\) | Nonpregnant human population | human |
\(N_{p}\) | Pregnant population | human |
\(N_{v}\) | Vector population | human |
\(S_{h}\) | Susceptible (nonpregnant) humans | humans |
\(I_{h}\) | Infected (nonpregnant) humans | humans |
\(R_{h}\) | Recovered (nonpregnant) humans | humans |
\(S_{p}\) | Susceptible pregnant women | humans |
\(I_{p}\) | Infected pregnant women | humans |
\(R_{p}\) | Recovered pregnant women | humans |
B | Infected infants | humans |
\(S_{v}\) | Susceptible mosquitoes | mosquitoes |
\(I_{v}\) | Infected mosquitoes | mosquitoes |
α | Birth rate | ⋅day−1 |
ρ | Probability of vertical transmission | dimensionless |
\(\beta _{h}\) | Host transmission rate | humans⋅mosquito−1⋅day−1 |
\(\mu _{h}\) | Host death rate | day−1 |
\(\mu _{m}\) | Infected infant death rate | day−1 |
δ | Loss of pregnancy rate | day−1 |
W | Pregnancy recruitment rate | humans⋅day−1 |
\(\gamma _{h}\) | Recovery rate | day−1 |
\(A_{v}\) | Vector recruitment rate | mosquitoes⋅day−1 |
\(\beta _{v}\) | Vector transmission rate | day−1 |
\(\mu _{v}\) | Vector death rate | day−1 |