Theory and Modern Applications
Table 4 Effect of \(\alpha _{{H}}\) on the number of infected populations: \(I_{{H1}}\), \(I_{{H2}}\), \(I_{{H12}}\), \(I_{{H21}}\), \(I_{{V1}}\), and \(I_{{V2}}\) at steady state using the multi-serotype dengue model (2.4)–(2.5)
\(\alpha _{{H}}\) | Infected human | Infected mosquito | Stable equilibrium | ||||
|---|---|---|---|---|---|---|---|
Primary infection | Secondary infection | ||||||
\(I_{H1}\) | \(I_{{H2}}\) | \(I_{{H12}}\) | \(I_{{H21}}\) | \(I_{{V1}}\) | \(I_{{V2}}\) | ||
8.648 × 10−5 | 324 | 365 | 23 | 27 | 285 | 367 | \(P_{{n}}^{{**}}\) |
0.02 | 230 | 236 | 2 | 2 | 34 | 40 | \(P_{{n}}^{{**}}\) |
0.05 | 154 | 158 | 0 | 0 | 14 | 17 | \(P_{{H}}^{{*}}\) |
0.85 | 15 | 16 | 0 | 0 | 0 | 1 | \(P_{{H}}^{{*}}\) |
0.95 | 14 | 14 | 0 | 0 | 0 | 0 | \(P_{{H}}^{{*}}\) |
1 | 13 | 13 | 0 | 0 | 0 | 0 | \(P_{{H}}^{{*}}\) |