Theory and Modern Applications
From: On the effect of postponing pregnancy in a Zika transmission model
Description | State Transition | Rate |
---|---|---|
Pregnancy | \((S_{h},S_{p})\to (S_{h}-1,S_{p}+1)\) | W |
Death of \(S_{p}\) | \(S_{p}\to S_{p}-1\) | \(\mu _{h} S_{p}\) |
Infection of \(S_{p}\) | \((S_{p},I_{p})\to (S_{p}-1,I_{p}+1)\) | \(\beta _{h}S_{p}I_{v}/N_{h}\) |
Death of \(I_{p}\) | \(I_{p}\to I_{p}-1\) | \(\mu _{h}I_{p}\) |
Recovery of \(I_{p}\) | \((I_{p},R_{p})\to (I_{p}-1,R_{p}+1)\) | \(\gamma _{h}I_{p}\) |
Loss of \(S_{p}\) | \((S_{p},S_{h})\to (S_{p}-1,S_{h}+1)\) | \(\alpha S_{p}\) |
Loss of \(I_{p}\) | \((I_{p},I_{h})\to (I_{p}-1,I_{h}+1)\) | \(\alpha I_{p}\) |
Loss of \(R_{p}\) | \((R_{p},R_{h})\to (R_{p}-1,R_{h}+1)\) | \(\alpha R_{p}\) |
Birth of \(S_{h}\) | \(S_{h}\to S_{h}+1\) | \(\alpha S_{p}+\alpha (1-\rho )(I_{p}+R_{p})\) |
Death of \(S_{h}\) | \(S_{h}\to S_{h}-1\) | \(\mu _{h}S_{h}\) |
Infection of \(S_{h}\) | \((S_{h},I_{h})\to (S_{h}-1,I_{h}+1)\) | \(\beta _{h}S_{h}I_{v}/N_{h}\) |
Death of \(I_{h}\) | \(I_{h}\to I_{h}-1\) | \(\mu _{h}I_{h}\) |
Recovery of \(I_{h}\) | \((I_{h},R_{h})\to (I_{h}-1,R_{h}+1)\) | \(\gamma _{h}I_{h}\) |
Death of \(R_{h}\) | \(R_{h}\to R_{h}-1\) | \(\mu _{h}R_{h}\) |
Birth of B | B→B + 1 | \(\rho \alpha (I_{p}+R_{p})\) |
Death of B | B→B − 1 | \(\mu _{h}B\) |
Vector recruitment | \(S_{v}\to S_{v}+1\) | \(A_{v}\) |
Death of \(S_{v}\) | \(S_{v}\to S_{v}-1\) | \(\mu _{v}S_{v}\) |
Vector infection | \((S_{v},I_{v})\to (S_{v}-1,I_{v}+1)\) | \(\beta _{v}S_{v}(I_{h}+I_{p})/N_{h}\) |
Death of \(I_{v}\) | \(I_{v}\to I_{v}-1\) | \(\mu _{v}I_{v}\) |