Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic analysis of a size-structured cannibalism model with infinite
  dimensional environmental feedback   In this work we consider a size-structured cannibalism model with the model
ingredients (fertility, growth, and mortality rate) depending on size (ranging
over an infinite domain) and on a general function of the standing population
(environmental feedback). Our focus is on the asymptotic behavior of the
system, in particular on the effect of cannibalism on the long-term dynamics.
To this end, we formally linearize the system about steady state and establish
conditions in terms of the model ingredients which yield uniform exponential
stability of the governing linear semigroup. We also show how the point
spectrum of the linearized semigroup generator can be characterized in the
special case of a separable attack rate and establish a general instability
result. Further spectral analysis allows us to give conditions for asynchronous
exponential growth of the linear semigroup.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci