On the Influence of Quorum Sensing in the Competition Between Bacteria and Immune System of Invertebrates

摘要

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 Quotum 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.