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Merge pull request #19 from ramaminiaina/main
fix typos
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23_ID_modelling.ipynb

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"What we can do instead, is what is called *compartmental modelling*.\n",
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"The main idea behind compartmenta models, is that they don't just keep track of many individuals were infected, but they also keep track of all the individuals with various infection and symptom statuses.\n",
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"The main idea behind compartmental models, is that they don't just keep track of many individuals were infected, but they also keep track of all the individuals with various infection and symptom statuses.\n",
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"### The SI model\n",
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"source": [
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"This model does a better job than the model before: it matches the data more closely. But it does so only for the half of the outbreak.\n",
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"The pidemic no longer grows without bound, but it does not capture the decline in the number of infected hosts.\n",
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"The epidemic no longer grows without bound, but it does not capture the decline in the number of infected hosts.\n",
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"We need to refine the model further!\n",
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"The new parameter $\\gamma$ is the `recovery rate`.\n",
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"$\\gamma I$ term is the rate at which infectious individuals recover and become immune to the disease. That term is only proportinal to the number of infected individuals there are: if there is a large number of infected individuals, we expect to see a large number of recovered individuals in the near future.\n",
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"$\\gamma I$ term is the rate at which infectious individuals recover and become immune to the disease. That term is only proportional to the number of infected individuals there are: if there is a large number of infected individuals, we expect to see a large number of recovered individuals in the near future.\n",
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"The model now has two unknown parameters: $\\beta$ and $\\gamma$.\n",
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