Theory and Modern Applications
Table 5 Effect of \(\alpha _{{V}}\) 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)
\(\alpha _{{V}}\) | Infected human | Infected mosquito | Stable equilibrium | ||||
|---|---|---|---|---|---|---|---|
Primary infection | Secondary infection | ||||||
\(I_{{H1}}\) | \(I_{{H2}}\) | \(I_{{H12}}\) | \(I_{{H21}}\) | \(I_{{V1}}\) | \(I_{{V2}}\) | ||
1.3405 × 10−6 | 324 | 325 | 23 | 27 | 285 | 367 | \(P_{{n}}^{{**}}\) |
0.02 | 256 | 225 | 2 | 2 | 212 | 218 | \(P_{{n}}^{{**}}\) |
0.05 | 176 | 154 | 0 | 0 | 146 | 150 | \(P_{{H}}^{{*}}\) |
0.85 | 18 | 16 | 0 | 0 | 15 | 16 | \(P_{{H}}^{{*}}\) |
0.95 | 16 | 14 | 0 | 0 | 14 | 14 | \(P_{{H}}^{{*}}\) |
1 | 16 | 14 | 0 | 0 | 13 | 13 | \(P_{{H}}^{{*}}\) |