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James Moore-Stanley edited However_people_who_are_already__.tex
almost 8 years ago
Commit id: 16ac8141d11d12c82e5027711ffca38042661234
deletions | additions
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However, people who are already infected may have either recovered or died at this time, meaning they are moved into removed classification. Therefore, the final rate equation for the rate of change of infected individuals is expressed as this:
\begin{equation}
I_{t+1} - I_t = \frac{\mathrm{d} I}{\mathrm{d} t} = \alpha S_t
I_t$ I_t -\beta S_t I_t
\end{equation}
where $\beta$ is the rate constant for the percentage of the population moving from infected to removed per unit time.
\\Finally, the equation of the rate of individuals moving becoming removed (i.e. the rate of people who recover per unit time) is simply individuals who have recovered or died. This may be expressed as below: