The thesis uses mathematical modelling to answer important eco-epidemiologial questions in scenarios where interacting species share an infectious disease. These questions
are important as shared disease is often linked to successful species invasion and so the
disease increases the threat for native species. Shared disease is also linked to spillover
and zoonotic infection and so can pose a threat to human health.
We develop a model to assess the threat of the shared disease, squirrelpox, carried by
the invasive grey squirrel to the conservation of red squirrels in the UK. We show that the
grey squirrel epidemiological dynamics include reinfection and partial immunity and that
squirrelpox infection levels can be high. This can lead to spillover to red squirrels when
the species are sympatric, leading to epidemic outbreaks in red squirrel populations.
We analyse general models that examine the role of shared infectious disease on the
spatial spread of invasive species and the replacement of native species. We show that
shared infectious disease can increase the rate of replacement of a native species even
when the disease is not supported in the native species system.
We develop a model for a prey, specialist predator, and generalist predator system in
which the predators can become infected through consumption of infected prey and can
transmit infection back to the prey species. The analysis shows that predators can increase
the persistence of infectious disease and may act as epidemic bridges that support the
infection during low density phases in the prey species.UK Engineering and Physical Sciences Research Council grant EP/S023291/
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