Table 3 Possible positive roots of polynomial inĀ (12) using descartes rules of signs for the case of \(R_0>1\).
Case | \(c_0\) | \(c_1\) | \(c_2\) | \(c_3\) | \(c_4\) | Possible number of positive roots |
|---|---|---|---|---|---|---|
1 | + | + | + | + | ā | 1 |
2 | + | + | + | ā | ā | 1 |
3 | + | + | ā | + | ā | 1 or 3 |
4 | + | + | ā | ā | ā | 1 |
5 | + | ā | + | + | ā | 1 or 3 |
6 | + | ā | + | ā | ā | 1 or 3 |
7 | + | ā | ā | + | ā | 1 or 3 |
8 | + | ā | ā | ā | ā | 1 |
