Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of delay on the emergent stability patterns in Generalized
  Lotka-Volterra ecological dynamics   Understanding the conditions of feasibility and stability in ecological
systems is a major challenge in theoretical ecology. The seminal work of May in
1972 and recent developments based on the theory of random matrices have shown
the existence of emergent universal patterns of both stability and feasibility
in ecological dynamics. However, only a few studies have investigated the role
of delay coupled with population dynamics in the emergence of feasible and
stable states. In this work, we study the effects of delay on Generalized
Loka-Volterra population dynamics of several interacting species in closed
ecological environments. First, we investigate the relation between feasibility
and stability of the modeled ecological community in the absence of delay and
find a simple analytical relation when intra-species interactions are dominant.
We then show how, by increasing the time delay, there is a transition in the
stability phases of the population dynamics: from an equilibrium state to a
stable non-point attractor phase. We calculate analytically the critical delay
of that transition and show that it is in excellent agreement with numerical
simulations. Finally, we introduce a measure of stability that holds for out of
equilibrium dynamics and we show that in the oscillatory regime induced by the
delay stability increases for increasing ecosystem diversity.

1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th