Bc. Baltzis et M. Wu, STEADY-STATE COEXISTENCE OF 3 PURE AND SIMPLE COMPETITORS IN A 4-MEMBERED REACTOR NETWORK, Mathematical biosciences, 123(2), 1994, pp. 147-165
In this study we investigate the dynamics of pure and simple competiti
on among three microbial populations in a spatially heterogeneous envi
ronment. The environment is modeled as a network of four interconnecte
d bioreactors. Growth has been assumed to be noninhibitory, while main
tenance requirements have been neglected. Results of numerical studies
indicate that the three competitors may coexist in a stable steady st
ate in a domain of the operating parameters space. Results are present
ed in the form of two-dimensional operating diagrams. No domain was fo
und in the operating parameter space where more than one steady state
is meaningful and stable. Since earlier theoretical studies have shown
that two pure and simple microbial competitors may coexist in two int
erconnected bioreactors while numerical studies have shown that three
pure and simple competitors cannot coexist in three interconnected bio
reactors, the results of the present study may lead one to speculate t
he N pure and simple competitors may coexist in a network made of 2(N-
1) bioreactors.