... | ... | @@ -136,6 +136,10 @@ Let’s now investigate what the infectivity period is for the group of individu |
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Hence, on average, the infectivity period of the disease is given by the summation of fractions of exposed present in a particular compartment multiplied by its average infectivity period. For the detected symptomatic cases, we also need to take into account the risk factor to spread the infection while in-home quarantine. This would give an average infectivity period,
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$`I_p = \left[ \frac{\alpha}{R_9} + \frac{1-\alpha}{R_3} + \frac{(1-\alpha)(1-\mu)}{R_4} + \frac{\beta (1-\alpha) (1-\rho) \mu}{R_4} + \frac{\beta (1-\alpha) \rho \mu}{R_6} \right]`$
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days for an exposed person in the population. This would mean that an exposed person would cause new
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days for an exposed person in the population. This would mean that an exposed person would cause new $`R_t`$
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infections in the population,
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```math
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$`R_t = R_1(t) \frac{S(t)}{N(t)} \left[ \frac{\alpha}{R_9} + \frac{1-\alpha}{R_3} + \frac{(1-\alpha)(1-\mu)}{R_4} + \frac{\beta (1-\alpha) (1-\rho) \mu}{R_4} + \frac{\beta (1-\alpha) \rho \mu}{R_6} \right]`$
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infections in the population, which is basically our formula for $`R_t`$ and can be mathematically derived using the next generation matrix method from our model equations. |
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```
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and can be mathematically derived using the next generation matrix method from our model equations.
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