Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Impulsive fire disturbance in a savanna model: Tree-grass coexistence
  states, multiple stable system states, and resilience   Savanna ecosystems are shaped by the frequency and intensity of regular
fires. We model savannas via an ordinary differential equation (ODE) encoding a
one-sided inhibitory Lotka-Volterra interaction between trees and grass. By
applying fire as a discrete disturbance, we create an impulsive dynamical
system that allows us to identify the impact of variation in fire frequency and
intensity. The model exhibits three different bistability regimes: between
savanna and grassland; two savanna states; and savanna and woodland. The
impulsive model reveals rich bifurcation structures in response to changes in
fire intensity and frequency -- structures that are largely invisible to
analogous ODE models with continuous fire. In addition, by using the amount of
grass as an example of a socially-valued function of the system state, we
examine the resilience of the social value to different disturbance regimes. We
find that large transitions ("tipping") in the valued quantity can be triggered
by small changes in disturbance regime.

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The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
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The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph