In this paper we first consider a two consumer-one resource model
with one of the consumer species exhibits intraspecific feeding
interference but there is no interspecific competition between the
two consumer species. We assume that one consumer species exhibits
Holling II functional response while the other consumer species exhibits
Beddington-DeAngelis functional response. Using dynamical systems theory,
it is shown that the two
consumer species can coexist upon the single limiting resource in
the sense of uniform persistence. Moreover, by constructing a Liapunov function
it is shown that the system
has a globally stable positive equilibrium. Second, we consider a model
with an arbitrary number of consumers and one single limiting resource.
By employing practical persistence techniques, it is shown that multiple
consumer species can coexist upon a single resource as long as all consumers
exhibit sufficiently strong conspecific interference, that is, each of them
exhibits Beddington-DeAngelis functional response.
Mathematics Subject Classification: 34D20, 92D25.