Research Article
Mathematical Analysis of a Malaria Model with Partial Immunity to Reinfection
Table 1
Number of possible positive real roots of
for
and
.
| | Cases | | | | | | | Number of sign change | Number of positive real roots |
| | 1 | + | + | + | + | + | | 0 | | | + | + | + | + | − | | 1 | | | 2 | + | − | − | − | + | | 2 | | | + | − | − | − | − | | 1 | | | 3 | + | + | − | − | + | | 2 | | | + | + | − | − | − | | 1 | | | 4 | + | − | + | − | + | | 4 | | | + | − | + | − | − | | 3 | | | 5 | + | − | − | + | + | | 2 | | | + | − | − | + | − | | 3 | | | 6 | + | + | + | − | + | | 2 | | | + | + | + | − | − | | 1 | | | 7 | + | + | − | + | + | | 2 | | | + | + | − | + | − | | 3 | | | 8 | + | − | + | + | + | | 2 | | | + | − | + | + | − | | 3 | |
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