Table 3 State transitions and rates for CTMC mode
From: Taenia solium taeniasis and cysticercosis: extinction or outbreak
Description | Transition | Transition rate |
|---|---|---|
Recruitment of human | \((1,0,0,0,0,0,0)^T\) | \(\Lambda _{H}\) |
Cysticercosis infection | \((-1,1,0,0,0,0,0)^T\) | \(r\beta _C P_{a} S_{H}\) |
Taeniasis infection | \((-1,0,1,0,0,0,0)^T\) | \(\alpha _H\beta _T M S_{H}\) |
Death of \(S_{H}\) | \((-1,0,0,0,0,0,0)^T\) | \(\mu _{H}S_{H}\) |
Death of \(I_{C}\) due to cysticercosis | \((0,-1,0,0,0,0,0)^T\) | \(\alpha _C I_{C}\) |
Death of \(I_{C}\) | \((0,-1,0,0,0,0,0)^T\) | \(\mu _{H}I_{C}\) |
Death of \(I_{T}\) | \((0,0,-1,0,0,0,0)^T\) | \(\mu _{H}I_{T}\) |
Recruitment of pigs | \((0,0,0,1,0,0,0)^T\) | \(\Lambda _{P}\) |
Infection of pigs | \((0,0,0,-1,1,0,0)^T\) | \(c_P\beta _PP_{a}S_{P}\) |
Harvesting of \(S_{P}\) | \((0,0,0,-1,0,0,0)^T\) | \(\alpha _PS_{P}\) |
Death of \(S_{P}\) | \((0,0,0,-1,0,0,0)^T\) | \(\mu _PS_{P}\) |
Slaughter of \(I_{P}\) | \((0,0,0,0,-1,1,0)^T\) | \(\gamma _PI_{P}\) |
Death of \(I_{P}\) | \((0,0,0,0,-1,0,0)^T\) | \(\mu _PI_{P}\) |
Eating of M by humans | \((0,0,0,0,0,-1,0)^T\) | \(\alpha _HM\) |
Throwing of M | \((0,0,0,0,0,-1,0)^T\) | \(\alpha _MM\) |
Release of \(P_{a}\) | \((0,0,0,0,0,0,1)^T\) | \(\gamma _EI_{T}\) |
Death of \(P_{a}\) | \((0,0,0,0,0,0,-1)^T\) | \(\mu _EP_{a}\) |