Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal nonlinear reaction preventing blow-up in Keller-Segel system   This paper is devoted to the analysis of non-negative solutions for the
chemotaxis model with nonlocal source in bounded domain. The qualitative
behavior of solutions is determined by the nonlinearity from the aggregation
and the reaction. The nonlocal nonlinear Fisher-KPP reaction helps preventing
blow-up phenomena in chemotaxis system. For appropriately chosen exponents, the
global existence of classical solutions is proved with arbitrary initial data,
where a modified Moser-Alikakos iteration method plays a key role in the a
priori estimates.

9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th