Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A nonlocal model of epidemic network with nonlimited transmission:
  Global existence and uniqueness   Following \cite{ipel1}, we consider a nonlinear SIS-type nonlocal system
describing the spread of epidemics on networks, assuming nonlimited
transmission, We prove local existence of a unique solution for any diffusion
coefficients and global existence in the case of equal diffusion coefficients.
Next we study the asymptotic behaviour of the solution and show that the
disease-free equilibrium (DFE) is linearly and globally asymptotically stable
when the total mean population is small. Finally, we prove that the solution of
the system converge to the $DFE$.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
18
The categories of this paper are: econ
9
The categories of this paper are: nlin