Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady states in hierarchical structured populations with distributed
  states at birth   We investigate steady states of a quasilinear first order hyperbolic partial
integro-differential equation. The model describes the evolution of a
hierarchical structured population with distributed states at birth.
Hierarchical size-structured models describe the dynamics of populations when
individuals experience size-specific environment. This is the case for example
in a population where individuals exhibit cannibalistic behavior and the chance
to become prey (or to attack) depends on the individual's size. The other
distinctive feature of the model is that individuals are recruited into the
population at arbitrary size. This amounts to an infinite rank integral
operator describing the recruitment process. First we establish conditions for
the existence of a positive steady state of the model. Our method uses a fixed
point result of nonlinear maps in conical shells of Banach spaces. Then we
study stability properties of steady states for the special case of a separable
growth rate using results from the theory of positive operators on Banach
lattices.

1
The categories of this paper are: cs
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th