Name
Abstract | ||
|---|---|---|
A chemostat model of n species of microorganisms competing for two perfectly complementary, growth-limiting nutrients is considered. Sufficient conditions are given for there to be a single winning species and for two species to coexist, driving the others to extinction. In the case when n=3, it is shown that every solution converges to one of the single-species or two-species steady states, and hence the dynamics of the model is completely determined. The results generalize those of Hsu, Cheng, and Hubbell [SIAM J. Appl. Math., 41 (1981), pp. 422-444] as well as Butler and Wolkowicz [Math. Biosci., 83 (1987), pp. 1-48] who considered two species. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S003613999935319X | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
chemostat,competition for two resources,competitive exclusion principle,coexistence,global asymptotic behavior,competitive system | Chemostat,Mathematical economics,Mathematics,Competitive exclusion principle,Extinction | Journal |
Volume | Issue | ISSN |
62 | 1 | 0036-1399 |
Citations | PageRank | References |
3 | 1.96 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Bingtuan Li | 1 | 35 | 9.86 |
| Hal L. Smith | 2 | 111 | 31.87 |