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Calculation of Disease Dynamics in a Population of Households

Figure 2

Epidemiological quantities as defined in the main text for the gamma () infectious period distribution, compared to the exponential () results, where within household transmission rate parameter, , is held constant.

(A) Critical transmission difference , with rate of waning immunity ; . (B) Early growth rate difference , with rate of waning immunity and between-household transmission parameter ; . (C) Offspring distribution difference, with within-household transmission rate parameter , house size and between-household transmission parameter ; . (D) Endemic infection difference , with rate of waning immunity and between-household transmission parameter ; . (E) Transient dynamics, with within-household transmission rate parameter , house size , rate of waning immunity and between-household transmission parameter ; ; exponential () results are shown as a thin red line for comparison. (F) As in E at peak prevalence. (G) As in E at endemic prevalence.

Figure 2

doi: https://doi.org/10.1371/journal.pone.0009666.g002