Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Parasite infection in a cell population with deaths   We introduce a general class of branching Markov processes for the modelling
of a parasite infection in a cell population. Each cell contains a quantity of
parasites which evolves as a diffusion with positive jumps. The growth rate,
diffusive function and positive jump rate of this quantity of parasites depend
on its current value. The division rate of the cells also depends on the
quantity of parasites they contain. At division, a cell gives birth to two
daughter cells and shares its parasites between them. Cells may also die, at a
rate which may depend on the quantity of parasites they contain. We study the
long time behaviour of the parasite infection. In particular, we are interested
in the quantity of parasites in a `typical' cell and on the survival of the
cell population. We specifically focus on the influence of two parameters on
the probability for the cell population to survive and/or contain the parasite
infection: the law of the sharing of the parasites between the daughter cells
at division and the form of the division and death rates of the cells as
functions of the quantity of parasites they contain.

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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th