@inproceedings{1d4a3b62628f45918d49bda900f5ad73,
title = "On the influence of Quorum Sensing in the competition between bacteria and immune system of invertebrates",
abstract = "The competition between bacteria and innate immune system of invertebrate animals is described by means of ODEs. Two different systems are considered corresponding to the absence or the presence of Quorum Sensing (Q.S.) mechanism. Qualitative properties of the solutions of both systems as well as the stability of their meaningful equilibria are analyzed. By constructing suitable Lyapunov functions, global asymptotic stability results have been proved when the quorum sensing is absent. In order to better illustrate the dynamics of competition, some numerical simulations, obtained by means of MATHEMATICA (Wolfram Research, 1989) are presented.",
keywords = "Asymptotic stability, Bacterial infections, Innate immunity, Invertebrate species, Quorum sensing",
author = "Paolo Fergola and Juan Zhang and Marianna Cerasuolo and Zhien Ma",
year = "2008",
month = sep,
day = "11",
doi = "10.1063/1.2965091",
language = "English",
isbn = "9780735405523",
series = "AIP Conference Proceedings",
pages = "215--232",
editor = "Ricciardi, \{Luigi M.\} and Aniello Buonocore and Enrica Pirozzi",
booktitle = "Collective Dynamics: Topics on Competition and Cooperation in the Biosciences",
note = "International Conference on Collective Dynamics: Topics on Competition and Cooperation in the Biosciences, BIOCOMP2007 ; Conference date: 24-11-2007 Through 29-11-2007",
}