The threshold of population survival in a polluted chemostat model

Hsu, 1977, A mathematical theory for single nutrient competition in continuous cultures of microorganism, SIAM J. Appl. Math., 32, 366, 10.1137/0132030 Hsu, 1980, A competition model for a seasonally fluctuating nutrient, J. Math. Biol., 9, 115, 10.1007/BF00275917 Hale, 1983, Competition for fluctuating nutrient, J. Math. Biol., 18, 255, 10.1007/BF00276091 Butler, 1985, A mathematical model of the chemostat with periodic washout rate, SIAM J. Appl. Math., 45, 435, 10.1137/0145025 Feng, 1991, Competing predators for a prey in a chemostat model with periodic nutrient input, J. Math. Biol., 29, 715, 10.1007/BF00160188 Beretta, 1990, Stability in chemostat equations with delayed nutrient recycling, J. Math. Biol., 28, 99, 10.1007/BF00171521 Fergola, 1992, A qualitative analysis of an additive chemostat model of two microorganisms competing for two complementary nutrients, Ricerche di Matematica, XLI, 133 Fergola, 1994, Effects of toxicant on chemostat models, 887 Wen, 1997, Effects of toxicants on chemostat models with n populations competing for a critical nutrient, Dynamic Systems and Appl., 6, 43 Fergola, 1996, Polluted chemostat models with periodic nutrient and fluctuating toxicant input, Rendiconti del Circolo Matematico di Palermo, Serie II, Suppl., 45, 231 Z. Ma, S. Guo, P. Fergola and C. Tenneriello, Effects of toxicants on chemostat model with time variable nutrient input and washout (to appear). Hallam, 1986, Persistence in population model with demographic fluctuations, J. Math. Biol., 24, 327, 10.1007/BF00275641 Ma, 1990, Persistence and extinction of a population in a polluted environment, Math. Biosci., 101, 75, 10.1016/0025-5564(90)90103-6