| Contents |
| We investigate the effects of
toxins on the multiple coexistence solutions to an unstirred
chemostat model of competition between plasmid-bearing and
plasmid-free organisms when the plasmid-bearing organism produces
toxins. It turns out that coexistence solutions to this model are
governed by two limiting systems. Based on the analysis of
uniqueness and stability of positive solutions to two limiting
systems, the exact multiplicity and stability of coexistence
solutions to this model are established by means of the
combination of the fixed-point index theory, bifurcation theory
and perturbation theory. |
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