From: Stochastic lattice-based modelling of malaria dynamics
l | Change, \(\Delta X^{l}_{k,\zeta }(t)\) | Probability, \(p^{l}_{k,\zeta }(t)\) | Description |
---|---|---|---|
1 | \([1, 0, 0, 0, 0, 0]^T\) | \(b \psi ^{\mathsf {W}}_{\zeta } \rho _{A_o} \mathcal {A}_{o,\zeta } \Delta t\) | A new egg E is deposited by \(A_o\) |
2 | \([-1, 0, 0, 0, 0, 0]^T\) | \(\mu _E \mathcal {E}_{\zeta } \Delta t\) | An egg E dies |
3 | \([-1, 1, 0, 0, 0, 0]^T\) | \(\rho _E \mathcal {E}_{\zeta } \Delta t\) | An egg E hatches into a larva L |
4 | \([0, -1, 0, 0, 0, 0]^T\) | \((\mu _{L_1} + \mu _{L_2} \mathcal {L}_{\zeta } ) \mathcal {L}_{\zeta } \Delta t\) | A larva L dies |
5 | \([0, -1, 1, 0, 0, 0]^T\) | \(\rho _L \mathcal {L}_{\zeta } \Delta t\) | A larva L develops into a pupa P |
6 | \([0, 0, -1, 0, 0, 0]^T\) | \(\mu _P \mathcal {P}_{\zeta } \Delta t\) | A pupa P dies |
7 | \([0, 0, -1, 1, 0, 0]^T\) | \(\rho _P \mathcal {P}_{\zeta } \Delta t\) | A pupa P develops into a host-seeking adult \(A_h\) |
8 | \([0, 0, 0, 1, 0, -1]^T\) | \(\psi ^\mathsf {W}_{\zeta } \rho _{A_o} \mathcal {A}_{o,\zeta } \Delta t\) | An oviposition adult \(A_o\) enters host-seeking state |
9 | \([0, 0, 0, -1, 0, 0]^T\) | \(\mu _{A_h} \mathcal {A}_{h,\zeta } \Delta t\) | A host-seeking adult \(A_h\) dies |
10 | \([0, 0, 0, -1, 1, 0]^T\) | \(\psi ^\mathsf {H}_{\zeta } \rho _{A_h} \mathcal {A}_{h,\zeta } \Delta t\) | A host-seeking adult \(A_h\) enters resting state |
11 | \([0, 0, 0, 0, -1, 0]^T\) | \(\mu _{A_r} \mathcal {A}_{r,\zeta } \Delta t\) | A resting adult \(A_r\) dies |
12 | \([0, 0, 0, 0, -1, 1]^T\) | \(\rho _{A_r} \mathcal {A}_{r,\zeta } \Delta t\) | A resting adult \(A_r\) enters oviposition searching state |
13 | \([0, 0, 0, 0, 0, -1]^T\) | \(\mu _{A_o} \mathcal {A}_{o,\zeta } \Delta t\) | An oviposition searching adult \(A_o\) dies |