  It is preliminarily known that Aedes mosquitoes are very close to humans and
their dwellings, also give rises to a broad spectrum of diseases: dengue,
yellow fever, chikungunya. In this paper, we explore a multi-age-class model
for mosquito population secondarily classified into indoor-outdoor dynamics. We
accentuate a novel design for the model in which periodicity of the affecting
time-varying environmental condition is taken into account. Application of the
optimal control with collocated measure as apposed to the widely-used
prototypic smooth time-continuous measure is also considered. Using two
approaches: least-square and maximum likelihood, we estimate several involving
undetermined parameters. We analyze the model enforceability to biological
point of view such as existence, uniqueness, positivity and boundedness of
solution trajectory, also existence and stability of (non)trivial periodic
solution(s) by means of the basic mosquito offspring number. Some numerical
tests are brought along at the rest of the paper as a compact realistic
visualization of the model.
