Table 2 Permissibility conditions for the κ X models of Eq. (4)
From: Spatiotemporal modelling and mapping of the bubonic plague epidemic in India
(ν, μ) | c | a ζ | b ρ | a ρζ |
|---|---|---|---|---|
(0,0) | c ≥ 0 | a0 ≥ 0 | b0 ≥ 0 | a00 ≥ 0 |
(0,1) | c ≥ 0 | a0,a1 ≥ 0 | b0 ≥ 0 | a00,a01 ≥ 0 |
(0,2) | c ≥ 0 | a0,a2 ≥ 0 a1 ≥ - | b0 ≥ 0 | a00,a01 ≥ 0 a01 ≥ 0- |
(1,0) | c ≥ 0 | a0 ≥ 0 | b0,b1 ≥ 0 | a00,a10 ≥ 0 |
(1,1) | c ≥ 0 | a0,a1 ≥ 0 | b0,b1 ≥ 0 | a00,a01,a10,a11 ≥ 0 |
(1,2) | c ≥ 0 | a0,a2 ≥ 0 a1 ≥ - | b0,b1 ≥ 0 | a00,a10,a02,a12 ≥ 0 a01 ≥ - a11 ≥ - |
(2,0) | c ≥ 0 | a0 ≥ 0 | b0,b2 ≥ 0 b1 ≥ - | a00,a20 ≥ 0 a10 ≥ - |
(2,1) | c ≥ 0 | a0,a1 ≥ 0 | b0,b2 ≥ 0 b1 ≥ - | a00,a01,a20,a21 ≥ 0 a10 ≥ - a11 ≥ - |
(2,2) | c ≥ 0 | a0,a2 ≥ 0 a1 ≥ - | b0,b2 ≥ 0, b1 ≥ - | a00,a02,a20,a22 ≥ 0 a10 ≥ - a01 ≥ - a11 ≥ - a21 ≥ - a12 ≥ - |
