Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-pathogen model with competition on clustered networks   Networks provide a mathematically rich framework to represent social contacts
sufficient for the transmission of disease. Social networks are often highly
clustered and fail to be locally tree-like. In this paper, we study the effects
of clustering on the spread of sequential strains of a pathogen using the
generating function formulation under a complete cross-immunity coupling,
deriving conditions for the threshold of coexistence of the second strain. We
show that clustering reduces the coexistence threshold of the second strain and
its outbreak size in Poisson networks, whilst exhibiting the opposite effects
on uniform-degree models. We conclude that clustering within a population must
increase the ability of the second wave of an epidemic to spread over a
network. We apply our model to the study of multilayer clustered networks and
observe the fracturing of the residual graph at two distinct
transmissibilities.

6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph