Skip to content

Commit

Permalink
proper latex for matrix
Browse files Browse the repository at this point in the history
  • Loading branch information
dinacmistry committed Jan 14, 2025
1 parent 52464eb commit 466b795
Showing 1 changed file with 6 additions and 4 deletions.
10 changes: 6 additions & 4 deletions docs/primer.md
Original file line number Diff line number Diff line change
Expand Up @@ -77,11 +77,13 @@ $\frac{d I_i}{dt} = \sum_{j} \frac{\beta_{ij}S_i I_j}{N} - \gamma I_i$
From here we can decompose the system into transmission and transition components, $\mathbf{T}$ and $\mathbf{\Sigma}$, respectively.

Let
$\mathbf{x} =
\left(\begin{array}{cc}
I_H\\
\[
\mathbf{x} =
\begin{pmatrix}
I_H \\
I_L
\end{array}\right)$,
\end{pmatrix}
\],
$\mathbf{T} = [T_{ij}]$ with $T_{ij} = \frac{\beta_{ij}N_i}{N}$, and $\mathbf{\Sigma} = \gamma \mathbb{1}$

Then we can write the infected subsystem as $\mathbf{\frac{dx}{dt}} = (\mathbf{T} + \mathbf{\Sigma})\mathbf{x}$. The NGM can be defined as
Expand Down

0 comments on commit 466b795

Please sign in to comment.