Biology – Quantitative Biology – Populations and Evolution
Scientific paper
2010-10-22
Biology
Quantitative Biology
Populations and Evolution
29 pages, 1 figure
Scientific paper
We study the growth of a population of bacteria in a dynamical hostile environment corresponding to the immune system of the colonised organism. The immune cells evolve as subcritical open clusters of oriented percolation and are perpetually reinforced by an immigration process, while the bacteria try to grow as a supercritical oriented percolation in the remaining empty space. For appropriate values of the parameters, we prove that the population of bacteria grows linearly. In this perspective, we build general tools to study dependent percolation models issued from renormalization processes.
Garet Olivier
Marchand Régine
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