Table 1 The description of the state variables and parameters of the model.
From: Sensitivity analysis and global stability of epidemic between Thais and tourists for Covid -19
Description | Symbol |
|---|---|
Recruitment term of the susceptible population in Thais | \(\mu\) |
Total Thais population | \(N_{h}\) |
Recruitment term of the susceptible population in Foreign (tourist) | \(C\) |
Total Foreign (tourist) population | \(N_{T}\) |
Transmission rate of virus between population from Thais population to Foreign (tourist) population (in Thai) \(\varphi_{1 } S_{1 } \left( {E_{1} + I_{1} } \right)\) | \(\varphi_{1}\) |
When Foreign (tourist) are present, a susceptible Thais can also be infected by an infected or exposed Foreign (tourist)(in Thais) \(\varphi_{12 } S_{1 } \left( {E_{2} + I_{2} } \right)\) | \(\varphi_{12}\) |
Transmission rate of virus between population from Foreign (tourist) population to Thais population (in Foreign (tourist)) \(\varphi_{2 } S_{2 } \left( {E_{2} + I_{2} } \right)\) | \(\varphi_{2}\) |
When Thais are present, a susceptible Thais can also be infected by an infected or exposed Thais (in Foreign (tourist))\( \varphi_{21 } S_{2 } \left( {E_{1} + I_{1} } \right)\) | \(\varphi_{21}\) |
Per capita rate of progression of Thais population from the exposed state to the infectious state | \(IIP_{1}\) |
Per capita rate of progression of Foreign (tourist) population from the exposed state to the infectious state | \(IIP_{2}\) |
The rate at which the exposed Thais are put into quarantine from the exposed and infected Thais | \(g_{1}\) |
The rate at which the exposed Foreign (tourist) are put into quarantine from the exposed and infected Foreign (tourist) | \(g_{2}\) |
The number of infected Thais that leave the quarantine period with the virus intact | \(q_{2T}\) |
The number of infected Foreign (tourist) that leave the quarantine period with the virus intact | \(q_{3T}\) |
Per capita recovery rate for population in Thais from the infectious state to the recovered state | \(\gamma_{1}\) |
Per capita recovery rate for population in Foreign (tourist) from the infectious state to the recovered state | \(\gamma_{2}\) |
Natural death rate of Thais population | \(\delta_{1}\) |
Natural death rate of Foreign (tourist) population | \(\delta_{2}\) |
Per capita rate of loss of immunity in Thais population | \(\alpha_{1}\) |
Per capita rate of loss of immunity in Foreign (tourist) population | \(\alpha_{2}\) |
Rate at which Foreign (tourist) population move out the country | \(\vartheta\) |
Death rate due to COVID-19 of Thais population | \(\rho_{1}\) |
Death rate due to COVID-19 of Foreign (tourist) population | \(\rho_{2}\) |
