Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The contact process with dynamic edges on $\mathbb{Z}$   We study the contact process running in the one-dimensional lattice
undergoing dynamical percolation, where edges open at rate $vp$ and close at
rate $v(1-p)$. Our goal is to explore how the speed of the environment, $v$,
affects the behavior of the process. We show in particular that for small
enough $v$ the process dies out, while for large $v$ the process behaves like a
contact process on $\mathbb{Z}$ with rate $\lambda p$, so it survives if
$\lambda$ is large. We also show that if $v$ and $p$ are small then the network
becomes immune, in the sense that the process dies out for any infection rate
$\lambda$, while if $p$ is sufficiently close to $1$ then for all $v>0$
survival is possible for large enough $\lambda$.

18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph