Theory and Modern Applications
Table 1 Description of the model parameters and nominal values
From: Dynamics of swine influenza model with optimal control
Parameters | Explanation | Value | Ref |
|---|---|---|---|
Ï€ | Human birth rate | \(1{,}119{,}583\frac{1}{80*365}\) | [25] |
\(\frac{1}{\mu }\) | Average lifespan of humans | 80*365 | [25] |
p | Part of high-risk susceptible individuals | 0.4 | [25] |
β | Effectual contact rate for spreading H1N1 influenza | 0.9 | [25] |
\(\sigma _{L}\) | Cure rate of low-risk susceptible individualsby using antiviral drugs | 0.3 | [26] |
\(\sigma _{H}\) | The rate at which high-risk susceptible individuals get cured by using antiviral drugs | 0.5 | [26] |
α | Rate at which latent individuals become infected | 1/1.9 | [26] |
\(\tau _{1}\) | Medication rate of individuals at the early stage of infection | 1/5 | [26] |
\(\tau _{2}\) | Medication rate of individuals at the later stage of infection | 1/3 | [26] |
\(\phi _{I_{2}}\) | Cure rate of symptomatic infectious individuals at the later stage | 1/5 | [26] |
\(\phi _{T}\) | Cure rate of treated individuals | 1/3 | [26] |
\(\eta _{1}\) | Refinement parameter (see text) | 0.1 | [26] |
\(\eta _{2}\) | Refinement parameter (see text) | 1/2 | [26] |
\(\eta _{3}\) | Refinement parameter (see text) | 1.2 | [26] |
\(\eta _{4}\) | Refinement parameter (see text) | 1 | [26] |
\(\theta _{H}\) | Refinement parameter for infection rate of high risk | 1.2 | [26] |
\(1-\theta _{P}\) | Drug efficacy against infection | 0.5 | [26] |
ψ | Hospitalized rate of individuals in the \(I_{2}\) class | 0.5 | [26] |
γ | Progression rate from \(I_{1}\) to \(I_{2}\) classes | 0.06 | [26] |
δ | It denotes the rate at which the people in class \(I_{2}\) die | 1/100 | [26] |
\(\theta _{1}\delta \) | It denotes the rate at which the people in class H die | 1/100 | [26] |