Persistence in a model of three competitive populations

Albrecht, 1974, The dynamics of two dynamics of two interacting populations, J. Math. Anal. Appl., 46, 658, 10.1016/0022-247X(74)90267-4

Arnedo, 1982, Strange attractors in Volterra equations for species in competition, J. Math. Biol., 14, 153, 10.1007/BF01832841

Coste, 1978, About the theory of competing species, Theoret. Population Biol., 14, 165, 10.1016/0040-5809(78)90022-9

Coste, 1979, Asymptotic behaviors in the dynamics of competing species, SIAM J. Appl. Math., 36, 516, 10.1137/0136039

Freedman, 1984, Persistance in models of three interacting predator-prey populations, Math. Biosci., 68, 213, 10.1016/0025-5564(84)90032-4

Gale, 1964, Competition between three lines of Drosophila melanogaster, Heredity, 11, 681, 10.1038/hdy.1964.78

Gilpin, 1975, Limit cycles in competitive communities, Amer. Natur., 105, 51, 10.1086/282973

Hallam, 1979, Persistence and extinction in three species Lotka-Volterra competitive systems, Math. Biosci., 46, 117, 10.1016/0025-5564(79)90018-X

Hirsch, 1982, Systems of differential equations which are competitive or cooperative. I: Limit sets, SIAM J. Math. Anal., 13, 167, 10.1137/0513013

Hofbauer, 1981, General cooperation theorem for hypercycles, Monatsh. Math., 91, 233, 10.1007/BF01301790

Hutson, 1983, A criterion for permanent coexistence of species, with an application to a two-prey one-predator system, Math. Biosci., 63, 253, 10.1016/0025-5564(82)90042-6

Kerner, 1961, On the Volterra-Lotka principle, Bull. Math. Biophys., 23, 141, 10.1007/BF02477468

Koch, 1974, Coexistence resulting from an alteration of density dependent and density independent growth, J. Theoret. Biol., 44, 373, 10.1016/0022-5193(74)90168-4

Levin, 1970, Community equilibria and stability, and an extension of the competitive exclusion principle, Ann. Nat., 104, 413, 10.1086/282676

May, 1975, Nonlinear aspects of competition between three species, SIAM J. Appl. Math., 29, 243, 10.1137/0129022

Nunney, 1980, Density compensation, isocline shape and single-level competition models, J. Theoret. Biol., 86, 323, 10.1016/0022-5193(80)90010-7

Rescigno, 1968, The struggle for life: II. Three competitors, Bull. Math. Biophys., 30, 291, 10.1007/BF02476696

Schuster, 1979, On ω-limits for competition between three species, SIAM J. Appl. Math., 37, 49, 10.1137/0137004