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Tagged with infectious-diseases population-dynamics
5 questions
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How to model social structure in SIR models
I refer to J.H. Jones' Notes on R0.
More details in this question at Mathematics SE: How does the reproduction number depend on characteristics of the physical contact graph of a population?
The ...
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The role of duration of infectiousness in SIR models
I refer to J.H. Jones' Notes on R0.
The basic SIR model - as described in Jones' Notes - considers three factors that make up the reproduction number:
$\tau$ = the transmissibility (i.e., ...
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How is the carrying capacity of a logistic growth model calculated?
I am reading a book in epidemiology where the carrying capacity for a standard logistic growth rate is given by
K = (b - delta) / gamma
where:
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Is the basic reproduction number unique?
Given any epidemic model of an infectious disease, there are various ways of computing a basic reproduction number($R_0$) such as; the next-generation method, survival function, largest eigenvalue of ...
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Reproduction number of a SIR model with mortality
We know that reproduction number $\mathcal{R}_0$ is $\frac{\alpha}{\beta}$ for the following system, such that if $\mathcal{R}_0>1$, there is an epidemic in the population.
Now, assume the system ...
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