Abstract
The influence of diffusion on the competition between bacteria and innate immune system of invertebrate animals is described by means of a system of two nonlinear reaction-diffusion equations, with constant coefficients. The existence of absorbing sets, corresponding to the coexistence of the two competing populations, is proven. The linear and non-linear stability properties of the solutions are analysed as well as the stability switches due to the diffusion.
| Original language | English |
|---|---|
| Pages (from-to) | 165-185 |
| Number of pages | 21 |
| Journal | Ricerche di Matematica |
| Volume | 59 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Dec 2010 |
Keywords
- Bacterial infections
- Innate immunity
- Invertebrate species
- Nonlinear stability
- Quorum sensing
- Reaction-diffusion system
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