Variable | Description |
---|---|
\(S_{h}\) | Population of susceptible humans |
\(E_{h}\) | Population of exposed humans |
\(I_{h}\) | Population of infectious humans |
\(R_{h}\) | Population of recovered humans |
\(S_{r}\) | Population of susceptible rodents |
\(I_{r}\) | Population of infected rodents |
Parameter | Description |
---|---|
\(\Lambda _{h}\) | Recruitment rate of humans through birth or immigration |
\(\tau _{h}\) | Immunity waning rate of humans |
\(\sigma _{h}\) | Disease progression rate of exposed to infected humans |
\(\phi _{h}\) | Recovery rate of infected humans |
\(\mu _{h}\) | Natural mortality rate of humans |
\(\delta _{h}\) | Disease induced death rate of humans |
\(\beta _{h}\) | Transmission probability from humans to humans |
\(\beta _{r}\) | Transmission probability from rodents to humans and rodents |
\(\Lambda _{r}\) | Recruitment rate of rodents through birth |
\(\mu _{r}\) | Natural mortality rate of rodents |