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Co-authored-by: Guilherme Zagatti <[email protected]>
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docs/src/tutorials/discrete_stochastic_example.md

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@@ -489,12 +489,12 @@ infection then decreases exponentially to a basal level. In this case, we must
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keep track of the time of infection events. Let the history ``H(t)`` contain the
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timestamps of all ``I(t)`` active infections. The rate of infection is then
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```math
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\beta S(t) I(t) + \alpha S(t) \sum_{t_i \in H(t)} \exp(-\gamma (t - t_i))
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\beta_1 S(t) I(t) + \alpha S(t) \sum_{t_i \in H(t)} \exp(-\gamma (t - t_i))
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```
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where ``\beta`` is the basal rate of infection, ``\alpha`` is the spike in the
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where ``\beta_1`` is the basal rate of infection, ``\alpha`` is the spike in the
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rate of infection, and ``\gamma`` is the rate at which the spike decreases. Here
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we choose parameters such that infectivity rate due to a single infected
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individual returns to the basal rate after spiking to ``\beta + \alpha``. In
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individual returns to the basal rate after spiking to ``\beta_1 + \alpha``. In
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other words, we are modelling a situation in infected individuals gradually
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become less infectious prior to recovering. Our parameters are then
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