Theory and Modern Applications
Table 3 Effect of the period of cross immunity (\(1/\lambda \)) 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)
1/λ | Infected human | Infected mosquito | Stable equilibrium | ||||
|---|---|---|---|---|---|---|---|
Primary infection | Secondary infection | ||||||
\(I_{H1}\) | \(I_{{H2}}\) | \(I_{{H12}}\) | \(I_{{H21}}\) | \(I_{{V1}}\) | \(I_{{V2}}\) | ||
3 months | 324 | 365 | 23 | 27 | 285 | 367 | \(P_{{n}}^{{**}}\) |
9 months | 284 | 399 | 7 | 8 | 238 | 383 | \(P_{{n}}^{{**}}\) |
2 years | 250 | 428 | 2 | 3 | 207 | 405 | \(P_{{H}}^{{*}}\) |
6 years | 227 | 448 | 0 | 0 | 187 | 421 | \(P_{{H}}^{{*}}\) |
15 years | 219 | 455 | 0 | 0 | 180 | 427 | \(P_{{H}}^{{*}}\) |