Research Article
Dynamical Analysis on a Malaria Model with Relapse Preventive Treatment and Saturated Fumigation
Table 3
Possible number of positive roots of polynomial
, when
.
| Case | | | | | | | | Possible positive roots |
| 1 | — | + | + | + | + | + | + | 1 | 2 | — | + | + | + | + | — | + | 1 or 3 | 3 | — | + | + | + | — | + | + | 1 or 3 | 4 | — | + | + | + | — | — | + | 1 or 3 | 5 | — | + | + | — | + | + | + | 1 or 3 | 6 | — | + | + | — | + | — | + | 1, 3, or 5 | 7 | — | + | + | — | — | + | + | 1 or 3 | 8 | — | + | + | — | — | — | + | 1 or 3 | 9 | — | + | — | + | + | + | + | 1 or 3 | 10 | — | + | — | + | + | — | + | 1, 3, or 5 | 11 | — | + | — | + | — | + | + | 1, 3, or 5 | 12 | — | + | — | + | — | — | + | 1, 3, or 5 | 13 | — | + | — | — | + | + | + | 1 or 3 | 14 | — | + | — | — | + | — | + | 1, 3, or 5 | 15 | — | + | — | — | — | + | + | 1 or 3 | 16 | — | + | — | — | — | — | + | 1 or 3 | 17 | — | — | + | + | + | + | + | 1 | 18 | — | — | + | + | + | — | + | 1 or 3 | 19 | — | — | + | + | — | + | + | 1 or 3 | 20 | — | — | + | + | — | — | + | 1 or 3 | 21 | — | — | + | — | + | + | + | 1 or 3 | 22 | — | — | + | — | + | — | + | 1, 3, or 5 | 23 | — | — | + | — | — | + | + | 1 or 3 | 24 | — | — | + | — | — | — | + | 1 or 3 | 25 | — | — | — | + | + | + | + | 1 | 26 | — | — | — | + | + | — | + | 1 or 3 | 27 | — | — | — | + | — | + | + | 1 or 3 | 28 | — | — | — | + | — | — | + | 1 or 3 | 29 | — | — | — | — | + | + | + | 1 | 30 | — | — | — | — | + | — | + | 1 or 3 | 31 | — | — | — | — | — | + | + | 1 | 32 | — | — | — | — | — | — | + | 1 |
|
|