$$
\boxed{
\begin{aligned}
\dot{T} &= rT\left(1 - \frac{T}{\bar{T}}\right) - \beta T D \\[4pt]
\dot{D} &= \gamma T D - E\,D \\[4pt]
\dot{E} &= \underbrace{\alpha D}_{\text{mobilization}} - \underbrace{\mu (E - E_0)}_{\text{decay toward baseline}}
\end{aligned}
}
$$