Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiple stable states in microbial communities explained by the stable
  marriage problem   Experimental studies of microbial communities routinely reveal that they have
multiple stable states. While each of these states is generally resilient,
certain perturbations such as antibiotics, probiotics and diet shifts, result
in transitions to other states. Can we reliably both predict such stable states
as well as direct and control transitions between them? Here we present a new
conceptual model inspired by the stable marriage problem in game theory and
economics in which microbial communities naturally exhibit multiple stable
states, each state with a different species' abundance profile. Our model's
core ingredient is that microbes utilize nutrients one at a time while
competing with each other. Using only two ranked tables, one with microbes'
nutrient preferences and one with their competitive abilities, we can determine
all possible stable states as well as predict inter-state transitions,
triggered by the removal or addition of a specific nutrient or microbe.
Further, using an example of 7 Bacteroides species common to the human gut
utilizing 9 polysaccharides, we predict that mutual complementarity in nutrient
preferences enables these species to coexist at high abundances.

32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc