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. 2022 Jun 30;85(1):2. doi: 10.1007/s00285-022-01771-x

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© The Author(s) 2022

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 4 — Epidemics with gamma distributed susceptibility or connectivity. Solid curves were generated by running a discretized version of the infinite system (Eqs. 1–4) with explicit gamma distributed susceptibility (green) or connectivity (blue). Dashes curves are the corresponding outputs of the reduced systems (Eqs. 22–25) and (Eqs. B.8–B.11). Prevalences of infection ( $E + I$ ) over time are depicted on the top panel and effective reproduction numbers on the bottom. Parameters: ; $δ = 1 / 4$ per day; $γ = 1 / 3$ per day; and $ν = 1$ (colour figure online)

Inline graphic — Epidemics with gamma distributed susceptibility or connectivity. Solid curves were generated by running a discretized version of the infinite system (Eqs. 1–4) with explicit gamma distributed susceptibility (green) or connectivity (blue). Dashes curves are the corresponding outputs of the reduced systems (Eqs. 22–25) and (Eqs. B.8–B.11). Prevalences of infection ( $E + I$ ) over time are depicted on the top panel and effective reproduction numbers on the bottom. Parameters: ; $δ = 1 / 4$ per day; $γ = 1 / 3$ per day; and $ν = 1$ (colour figure online)