Table 1:

Model parameters and their biological interpretations. All rates are in days unless specified otherwise.

Parameter	Biological interpretation
$b\left(t\right)$	Seasonally fluctuating birth rate
$\mu$	Density independent death rate
$k$	Density dependent death rate
$\beta$	Transmission rate
$\gamma$	Rate of recovery from infection
${\omega }_A$	Rate at which antibodies decay
${\omega }_T$	Rate at which T-cell immunity decays