Table 1 Parameters interpretation.
Symbol | Interpretation | Value (per unit time) |
|---|---|---|
\(\Lambda\) | Input of susceptible humans for birth | 1800 |
\(\Phi\) | Immigration rate of humans | 0.60 |
\(\beta _{h_1}\) | Infection rate of humans in summer and winter | 0.179 |
\(\beta _{h_2}\) | Infection rate of humans in spring and autumn | 0.82 |
q | Reinfection or waning immunity rate \((I_p)\) | 0.00014 |
\(\mu _h\) | Human natural death rate | 0.0002 |
\(\alpha _1\) | Transmission rate of individuals from exposed class to \(I_{e}\) | 0.243 |
\(\alpha _2\) | Transmission rate of individuals from exposed class to \(I_{ne}\) | 0.0167 |
\(\gamma _1\) | Recovery rate of \(I_{e}\) | 0.25 |
\(\gamma _2\) | Recovery rate of \(I_{ne}\) | 0.3 |
\(\Theta\) | The rate of becoming an adult of a larvae | 0.49 |
\(\delta\) | Death rate of larvae during complete metamorphosis | 0.051 |
p | Larval carrying capacity | 1000000 |
\(\beta _{m_1}\) | Infection rate of mosquitoes in summer and winter | 0.0078 |
\(\beta _{m_2}\) | Infection rate of mosquitoes in spring and autumn | 0.0078 |
\(\alpha _3\) | Transmission rate of mosquitoes from exposed to infectious class | 0.195 |
\(\mu _m\) | Natural death rate of mosquitoes | 0.066 |