Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A fast-slow model for adaptive resistance evolution   Resistance to insecticide is considered nowadays one of the major threats to
insect control, as its occurrence reduces drastically the efficiency of
chemical control campaigns, and may also perturb the application of other
control methods, like biological and genetic control. In order to account for
the emergence and spread of such phenomenon as an effect of exposition to
larvicide and/or adulticide, we develop in this paper a general time-continuous
population model with two life phases, subsequently simplified through slow
manifold theory. The derived models present density-dependent recruitment and
mortality rates in a non-conventional way. We show that in absence of
selection, they evolve in compliance with Hardy-Weinberg law; while in presence
of selection and in the dominant or codominant cases, convergence to the
fittest genotype occurs. The proposed mathematical models should allow for the
study of several issues of importance related to the use of insecticides and
other adaptive phenomena.

11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th