Multiple limit cycles in the standard model of three species competition for three essential resources

Author:

Baer Steven M.,Li Bingtuan,Smith Hal L.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Modeling and Simulation

Reference43 articles.

1. Armstrong, R.A., McGehee, R.: Competitive exclusion, Amer. Natur. 115, 151–170 (1980)

2. Butler, G.J., Wolkowicz, G.S.K.: A mathematical model of the chemostat with a general class of functions describing nutrient uptake, SIAM J. Appl. Math. 45, 138–151 (1985)

3. Butler, G.J., Wolkowicz, G.S.K.: Exploitative competition in a chemostat for two complementary, and possible inhibitory, resources, Math. Biosci. 83, 1–48 (1987)

4. Doedel, E.J., Champneys, A.R., Fairgrieve, T.F., Kuznetsov, Y.A., Sandstede, B., Wang, X. Auto 97: Continuation and bifurcation software for ordinary differential equations, Technical report, Concordia University, Montreal, Canada, 1997

5. Chi C-W, Hsu S.B., Wu L-L.: On the asymmetric May-Leonard model of three competing species, SIAM J. Appl. Math. 58, 211–226 (1998)

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