Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal cost-time strategies for population replacement using the IIT   Vector control plays a central role in the fight against vector-borne
diseases and, in particular, arboviruses. The use of the endosymbiotic
bacterium Wolbachia has proven effective in preventing the transmission of some
of these viruses between mosquitoes and humans, making it a promising control
tool. The Incompatible Insect Technique (IIT) consists in replacing the wild
population by a population carrying the aforementioned bacterium, thereby
preventing outbreaks of the associated vector-borne diseases. In this work, we
consider a two species model incorporating both Wolbachia infected and wild
mosquitoes. Our system can be controlled thanks to a term representing an
artificial introduction of Wolbachia-infected mosquitoes. Under the assumption
that the birth rate of mosquitoes is high, we may reduce the model to a simpler
one on the proportion of infected mosquitoes. We investigate minimal cost-time
strategies to achieve a population replacement both analytically and
numerically for the simplified 1D model and only numerically for the full 2D
system

30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an