  We introduce a stochastic household model for vector-borne diseases, in
particular as relevant to prominent vectors belonging to the Aedes genus and
hence the Zika, chikungunya, and dengue viruses. In this model, vectors remain
local to each household, while hosts mix for a proportion of their time in
their household and the remaining proportion in the population at random. This
is approximated with a two-type branching process, allowing us to efficiently
calculate a number of useful epidemiological characteristics, such as
reproductive numbers, early growth rates and household-type proportions,
offspring distributions, probabilities of a major outbreak, and
within-household final size distributions. We compare control interventions of
spraying -- reducing the number of vectors in each household -- and
social-distancing -- having individuals spend more time at home -- in terms of
these characteristics.
