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. 2018 Jun 25;8:9642. doi: 10.1038/s41598-018-27716-3

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© The Author(s) 2018

Open Access This 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 license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license 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 license, visit http://creativecommons.org/licenses/by/4.0/.

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Seasonal and daily dynamics of the bacteria-phage system predicted by Model I for the temperature and solar radiation records corresponding to the Nakhon province. (A) Seasonal variation of free phage density. (B) Seasonal variation of free-phage bacteria (blue curve), lysogenic bacteria (red curve) and bacteria in the lytic state (green curve). (C) Daily variation of bacterial (coloured curves) and phage (black curve) densities on April 1^st. The model parameters are taken from Table 1 as default values. The unit of the densities of bacteria and phages are cell/ml and phage/ml, respectively.