TY - JOUR
T1 - On the influence of diffusion on the competition between bacteria and innate immune system of invertebrates
AU - Cerasuolo, M.
PY - 2010/12/1
Y1 - 2010/12/1
N2 - 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.
AB - 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.
KW - Bacterial infections
KW - Innate immunity
KW - Invertebrate species
KW - Nonlinear stability
KW - Quorum sensing
KW - Reaction-diffusion system
UR - http://www.scopus.com/inward/record.url?scp=78649630593&partnerID=8YFLogxK
UR - https://link.springer.com/journal/11587/59/2
U2 - 10.1007/s11587-010-0078-5
DO - 10.1007/s11587-010-0078-5
M3 - Article
AN - SCOPUS:78649630593
SN - 0035-5038
VL - 59
SP - 165
EP - 185
JO - Ricerche di Matematica
JF - Ricerche di Matematica
IS - 2
ER -