Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Attractivity and Extinction for Lotka-Volterra systems with
  infinite delay and feedback controls   The paper deals with a multiple species Lotka-Volterra model with infinite
distributed delays and feedback controls, for which we assume a weak form of
diagonal dominance of the instantaneous negative intra-specific terms over the
infinite delay effect in both the population variables and controls. General
sufficient conditions for the existence and attractivity of a saturated
equilibrium are established. When the saturated equilibrium is on the boundary
of $\R^n_+$, sharper criteria for the extinction of all or part of the
populations are given. While the literature usually treats the case of
competitive systems only, here no restrictions on the signs of the intra- and
inter-specific delayed terms are imposed. Moreover, our technique does not
require the construction of Lyapunov functionals.

23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci