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Update COVID-19.ipynb
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jarmarshall authored Mar 12, 2020
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"In the following, we analyse the models using both infinite-population ODEs, and finite population spatial stochastic simulations. _The latter allow us to vary *social isolation* and see the effects on the infection's progress_.\n",
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"We parameterise the model to approximate the characteristics of COVID-19; the purpose of this demonstration is to show the effects of social distancing, so exact parameterisation is not required but could be found from the literature (<i>e.g.</i> Wu <i>et al.</i>, <a href='#references'>2020</a>). Here we choose $r=2$ and $a=g=1/2$. We then present a controller in which there is a single slider to change the degree of social isolation. This enables us to easily compare the effects of no social isolation (a 'well-mixed' population, left) with social isolation (a spatial, partially connected population, right). Open the 'Advanced options' tab and vary between interaction range between 0 (full social distancing) and 1 (no social distancing), then observe the effect on a sample infection trajectory in the right hand plot, compared to the left hand reference plot (no social distancing).\n",
"We parameterise the model to approximate the characteristics of COVID-19; the purpose of this demonstration is to show the effects of social distancing, so exact parameterisation is not required but could be found from the literature (<i>e.g.</i> Wu <i>et al.</i>, <a href='#references'>2020</a>). Here we choose $r=2$ and $a=g=1/2$. We then present a controller in which there is a single slider to change the degree of social isolation. This enables us to easily compare the effects of no social isolation (a 'well-mixed' population, left) with social isolation (a spatial, partially connected population, right). Open the 'Advanced options' tab and vary between interaction range between 0 (full social distancing) and 1 (no social distancing), then observe the effect on a sample infection trajectory in the right hand plot, compared to the left hand reference plot (no social distancing). <i>Note that social distancing not only reduces the peak number of cases needing medical attention, but also the total number of infections.</i>\n",
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