Theory and Modern Applications
Table 1 Description of the dengue model (3) parameters and their possible feasible ranges
From: Analysis of the fractional order dengue transmission model: a case study in Malaysia
Parameter | Biological meaning | Range of values | References |
|---|---|---|---|
q | Proportion of eggs | 0–1 | [8] |
ϕ | Oviposition rate | 0–11.2 per day | [8] |
\(\sigma_{A}\) | Transition rate from aquatic to adult | 0–0.19 per day | [8] |
\(\mu_{A}\) | Average aquatic mortality rate | 0.01–0.47 per day | [8] |
\(1/\mu_{m}\) | Average lifespan of adult mosquito | 11–56 days | [21] |
\(1/\mu_{h}\) | Average lifespan of human | 73–75 years | [22] |
b | The biting rate | 0–1 per day | [23] |
\(\beta_{m}\) | Transmission probability from human to vector | 0.375 | [6] |
\(\beta_{h}\) | Transmission probability from vector to human | 0.375 | [6] |
\(\gamma_{h}\) | Recovery rate in the host population | 0.328833 per day | [21] |
\(\rho_{h}\) | Disease-induced death rate for humans | 10−3 | [24] |