Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mathematical analysis of an in-host model of viral dynamics with spatial
  heterogeneity   We consider a spatially-heterogeneous generalization of a well-established
model for the dynamics of the Human Immunodeficiency Virus-type 1 (HIV) within
a susceptible host. The model consists of a nonlinear system of three coupled
reaction-diffusion equations with parameters that may vary spatially. Upon
formulating the model, we prove that it preserves the positivity of initial
data and construct global-in-time solutions that are both bounded and smooth.
Finally, additional results concerning the local and global asymptotic behavior
of these solutions are also provided.

27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg