Disease-induced herd immunity and household epidemic modelsTools Critcher, Liam (2025) Disease-induced herd immunity and household epidemic models. PhD thesis, University of Nottingham.
AbstractThe rate at which individuals in a population mix with one another can have a large impact on how far a disease spreads among that population, as well as what fraction of the population needs to be immune from infection in order to protect the remaining susceptible population from a major outbreak. In this thesis we consider both deterministic and stochastic SEIR (susceptible - exposed - infectious -recovered) epidemic models. We impose a household structure on the population, so that individuals mix globally with the population at large and, at a higher rate, locally with members of their household. We also consider an extension of this model in which individuals are typed, making global contacts at different rates dependent on their type. We investigate herd immunity for these models, providing a more realistic insight than the standard epidemic model in which all individuals in the population mix at the same rate.
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