Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Advances in mosquito dynamics modeling   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.

29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph