Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disease-induced resource constraints can trigger explosive epidemics   Advances in mathematical epidemiology have led to a better understanding of
the risks posed by epidemic spreading and informed strategies to contain
disease spread. However, a challenge that has been overlooked is that, as a
disease becomes more prevalent, it can limit the availability of the capital
needed to effectively treat those who have fallen ill. Here we use a simple
mathematical model to gain insight into the dynamics of an epidemic when the
recovery of sick individuals depends on the availability of healing resources
that are generated by the healthy population. We find that epidemics spiral out
of control into "explosive" spread if the cost of recovery is above a critical
cost. This can occur even when the disease would die out without the resource
constraint. The onset of explosive epidemics is very sudden, exhibiting a
discontinuous transition under very general assumptions. We find analytical
expressions for the critical cost and the size of the explosive jump in
infection levels in terms of the parameters that characterize the spreading
process. Our model and results apply beyond epidemics to contagion dynamics
that self-induce constraints on recovery, thereby amplifying the spreading
process.

23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph