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. 2018 Aug 16;78(1):465–495. doi: 10.1007/s00285-018-1280-4

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© The Author(s) 2018

Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

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Fig. 9 — Illustrations of typical cases from the diagram shown in Fig. 8, representing the time evolution of the two strains (blue line is Strain 1, orange line is Strain 2). The parameters used are shown in Table 1. In each case, V is initialized to the disease-free steady-state $λ / γ$ , and the strains are initialized with the specified conditions. The top panel (a) shows takeover of Strain 1, the middle panel (b) shows takeover of Strain 2, whereas the bottom panel (c) shows asymptotic coexistence of both strains a $(S_{1} (0), U_{1} (0), P_{1} (0)) = (12.8, 44.0, 6398)$ and $(S_{2} (0), U_{2} (0), P_{2} (0)) = (4.5, 249.5, 3095)$ , b $(S_{1} (0), U_{1} (0), P_{1} (0)) = (13.4, 46.0, 6689)$ and $(S_{2} (0), U_{2} (0), P_{2} (0)) = (4.7, 260.9, 3235)$ c $(S_{1} (0), U_{1} (0), P_{1} (0)) = (17.5, 60.0, 8725)$ and $(S_{2} (0), U_{2} (0), P_{2} (0)) = (6.1, 340.3, 4220)$