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Armstrong, Robert A.; McGehee, Richard

Coexistence of species competing for shared resources. (English) Zbl 0349.92030

Theor. Population Biology 9, 317-328 (1976).
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Cited in 40 Documents

MSC:

92D25 Population dynamics (general)
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References:

[1] Armstrong, R. A.; McGehee, R., Coexistence of two competitors on one resource, J. Theor. Biol, 56, 499-502 (1976)
[2] Haigh, J.; Maynard Smith, J., Can there be more predators than prey?, Theor. Pop. Biol, 3, 290-299 (1972) · Zbl 0244.92001
[3] Hardin, G., The competitive exclusion principle, Science, 131, 1292-1298 (1960)
[4] Hutchinson, G. E., The paradox of the plankton, Amer. Natur, 95, 137-145 (1961)
[5] Jost, J. L.; Drake, J. F.; Fredrickson, A. G.; Tsuchiya, H. M., Interactions of Tetrahymena pyriformis, Escherichia coli, Azotobacter vinelandii, and glucose in a minimal medium, J. Bacteriol, 113, 834-840 (1973)
[6] Koch, A. L., Coexistence resulting from an alternation of density dependent and density independent growth, J. Theor. Biol, 44, 373-386 (1974)
[7] Koch, A. L., Competitive coexistence of two predators utilizing the same prey under constant environmental conditions, J. Theor. Biol, 44, 387-395 (1974)
[8] Levin, S. A., Community equilibria and stability, and an extension of the competitive exclusion principle, Amer. Natur, 104, 413-423 (1970)
[9] Levins, R., Evolution in Changing Environment (1968), Princeton Univ. Press: Princeton Univ. Press Princeton, N.J
[10] MacArthur, R.; Levins, R., Competition, habitat selection, and character displacement in a patchy environment, (Proc. Natl. Acad. Sci. U.S.A, 51 (1964)), 1207-1210
[11] McGehee, R.; Armstrong, R. A., Some mathematical problems concerning the ecological principle of competitive exclusion, J. Differential Equations (1976), to appear
[12] Rescigno, A.; Richardson, I. W., On the competitive exclusion principle, Bull. Math. Biophys, 27, 85-89 (1965), (special issue)
[13] Smale, S., On the differential equations of species in competition (1976), Preprint · Zbl 0344.92009
[14] Stewart, F. M.; Levin, B. R., Partitioning of resources and the outcome of interspecific competition: a model and some general considerations, Amer. Natur, 107, 171-198 (1973)
[15] Volterra, V., Variations and fluctuations of the number of individuals in animal species living together, J. du Conseil international pour l’exploration de la mer, 3, 3-51 (1928)
[16] Zicarelli, J., Mathematical Analysis of a Population Model with Several Predators on a Single Prey, (Ph.D. Thesis (1975), Univ. of Minnesota)
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