Table 1 Model (4) parameters’ description.
Parameter | Description | Value | References |
|---|---|---|---|
\(\beta _{h1}^{\sigma }\) | Transmission rate for dengue Strain 1 | 4.3892e-13 \(day^{-1}\) | Fitted |
\(\beta _{h2}^{\sigma }\) | Transmission rate for dengue Strain 2 | \(5.1160e-07 \times 10^{-6}\) day\(^{-1}\) | Fitted |
\(\theta _{a1}^{\sigma }\) | Mortality rates for Asymptomatic Individuals of strain 1 | 0.0406 day\(^{-1}\) | Fitted |
\(\theta _{a2}^{\sigma }\) | Mortality rates for Asymptomatic Individuals of strain 2 | 4.2968e−07 day\(^{-1}\) | Fitted |
\(\psi ^{\sigma }\) | Vaccination rate | 7.0002e-05 \(day^{-1}\) | Fitted |
\(\zeta _{a1}^{\sigma }\) | Recovery rates from Asymptomatic individuals of strain 1 | 0.0544 day\(^{-1}\) | Fitted |
\(\zeta _{a2}^{\sigma }\) | Recovery rates from Asymptomatic individuals of strain 2 | 3.9726e−07 day\(^{-1}\) | Fitted |
\(\alpha _1^{\sigma }, \alpha _2^{\sigma }\) | Saturated incidence rates | 0.005 day\(^{-1}\) | Assumed |
\(\Lambda _h^{\sigma }\) | Human recruitment rate | \(\frac{4{,}000{,}000}{78\times 365}\) day\(^{-1}\) | |
\(\mu _h^{\sigma }\) | Natural death rates | \(\frac{1}{78 \times 365}\) day\(^{-1}\) | |
\(\delta _{h1}^{\sigma }\) | Immunity loss from individuals recovered from strain 1 | 0.026 day\(^{-1}\) | |
\(\delta _{h2}^{\sigma }\) | Immunity loss from individuals recovered from strain 2 | 0.026 day\(^{-1}\) | |
\(\delta _{h12}^{\sigma }\) | Immunity loss from individuals recovered from co-infection | 0.026 day\(^{-1}\) | |
\(\phi _1^{\sigma }\) | Vaccine efficacy against Strain 1 | [0.81,0.88] day\(^{-1}\) | |
\(\phi _2^{\sigma }\) | Vaccine efficacy against Strain 2 | [0.81,0.88] day\(^{-1}\) | |
\(\xi _{e1}^{\sigma },\xi _{e2}^{\sigma },\xi _{e12}^{\sigma }\) | Progression rates from exposed to asymptomatic | 0.1 day\(^{-1}\) | |
\(\xi _{a1}^{\sigma },\xi _{a2}^{\sigma },\xi _{a12}^{\sigma }\) | Progression rates from asymptomatic to symptomatic | 0.1 day\(^{-1}\) | |
\(\zeta _{a12}^{\sigma }\) | Recovery rates from Asymptomatic individuals of co-infection | [0.11,0.15] day\(^{-1}\) | |
\(\zeta _{i1}^{\sigma },\zeta _{i2}^{\sigma },\zeta _{i12}^{\sigma }\) | Recovery rates from Symptomatic individuals | [0.11,0.15] day\(^{-1}\) | |
\(\zeta _{h1}^{\sigma },\zeta _{h2}^{\sigma },\zeta _{h12}^{\sigma }\) | Recovery rates from Quarantine individuals | [0.11,0.15] day\(^{-1}\) | |
\(\theta _{a12}^{\sigma }\) | Mortality rates for Asymptomatic Individuals of co-infection | 0.001 day\(^{-1}\) | |
\(\theta _{i1}^{\sigma },\theta _{i2}^{\sigma },\theta _{i12}^{\sigma }\) | Mortality rates for Symptomatic individuals | 0.001 day\(^{-1}\) | |
\(\theta _{h1}^{\sigma },\theta _{h2}^{\sigma },\theta _{h12}^{\sigma }\) | Mortality rates for Quarantine individuals | 0.001 day\(^{-1}\) | |
\(\eta _{i1}^{\sigma },\eta _{i2}^{\sigma },\eta _{i12}^{\sigma }\) | Rates for which people are quarantine | 0.05 day\(^{-1}\) | Assumed |
\(\Lambda _v^{\sigma }\) | Mosquitos recruitment rate | 20, 000 day\(^{-1}\) | Assumed |
\(\beta _{v1}^{\sigma }\) | Transmission rate from human to vectors for dengue strain-1 | [0.60, 0.75] day\(^{-1}\) | |
\(\beta _{v2}^{\sigma }\) | Transmission rate from human to vectors for dengue strain-2 | [0.60, 0.75] day\(^{-1}\) | |
\(\mu _v^{\sigma }\) | Rate of removal of vectors | \((\frac{1}{21} - \frac{1}{7})\) day\(^{-1}\) | |
\(\gamma _1^{\sigma },\gamma _2^{\sigma },\gamma _3^{\sigma },\gamma _4^{\sigma }\) | Saturated incidence rates for vectors | 0.0005 | Assumed |
\(\omega _{v1}^{\sigma }\) | Progression rates for vectors from Expose to infected with strain 1 | 0.1 day\(^{-1}\) | |
\(\omega _{v2}^{\sigma }\) | Progression rates for vectors from Expose to infected with strain 2 | 0.1 day\(^{-1}\) | |
\(\rho _{v1}^{\sigma }\) | Mortality of infected vectors with strain 1 | negligible day\(^{-1}\) | |
\(\rho _{v2}^{\sigma }\) | Mortality of infected vectors with strain 2 | negligible day\(^{-1}\) |
