Transfer diagrams showing the flow between infection classes separately for the honey bees, shown in (a), and mites, shown in (b). Justification of the different components and their functional forms is given in the text

Transfer diagrams showing the flow between infection classes separately for the honey bees, shown in (a), and mites, shown in (b). Justification of the different components and their functional forms is given in the text

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Viral diseases of honey bees are important economically and ecologically and have been widely modelled. The models reflect the fact that, in contrast to the typical case for vertebrates, invertebrates cannot acquire immunity to a viral disease, so they are of SIS or (more often) SI type. Very often, these diseases may be transmitted vertically as w...

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... overtly infected, bees and mites remain overtly infected throughout their life. Figure 5a and b shows the transfer between these classes separately for the bees and the mites and should be used as an aide memoire as we now describe the demographic and infection processes that we combine together to describe viral infection within the honey-bee and mite ecosystem. Honey-bee production The infection status of adult bees emerging from brood cells will clearly impact the model dynamics. ...

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... Since then, numerous mathematical models (such as [17,[21][22][23] and some references therein) continue to build on [20]. In 2021, Britton and White presented a mathematical model that describe how compartmental structure for infection impacts the disease dynamics observed, in particular on DWV vectored by varroa mites [24]. Messan et al. (2021) uses stage-structure delay model to investigate the role mites growth on honeybee health and population dynamics. ...
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