A host-parasite model for a two-type cell population (Q2856033)
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scientific article; zbMATH DE number 6218385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A host-parasite model for a two-type cell population |
scientific article; zbMATH DE number 6218385 |
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23 October 2013
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branching process
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cell division
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branching process in a random environment
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host-parasite model
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extinction characteristics
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limit theorem
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0.87562567
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0.87296593
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0.86083186
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A host-parasite model for a two-type cell population (English)
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The authors study a host-parasite branching model with two types of host cells (A and B) and proliferating parasites colonizing the cells. All cells behave independently and splits into two daughter cells after one unit of time. All B-cells always split into two daughter cells of the same type, whereas the two daughter cells of an A-cell can be of any type. Special attention is paid to the subpopulation of A-cells and its parasites. The main theoretical results are concerned with the nonextinctive case and provide information on the asymptotic behavior of the number of A-parasites in generation \(n\) and the relative proportion of A and B cells in this generation, which host a given number of parasites. All the results are strictly proved.
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