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Models for the effect of toxicant in single-species and predator-prey systems. (English) Zbl 0825.92125
MSC:
92D40Ecology
References:
[1]Butler, G. J., Freedman, H. I., Waltman, P.: Uniformly persistent systems, Proc. Am. Math. Soc. 96, 425-430 (1986) · doi:10.1090/S0002-9939-1986-0822433-4
[2]Luna, de J. T., Hallam, T. G.: Effects of toxicants on populations: a qualitative approach IV. Resource-consumer-toxicant models. Ecolog. Model. 35, 249-273 (1987) · doi:10.1016/0304-3800(87)90115-3
[3]Freedman, H. I.: The implicit function theorem in the scalar case. Can. Math. Bull. 12, 721-732 (1969) · Zbl 0189.33801 · doi:10.4153/CMB-1969-093-5
[4]Freedman, H. I.: Deterministic mathematical models in population ecology. Edmonton: HIFR Consulting Ltd. 1987
[5]Freedman, H. I., So, J. W.-H.: Global stability and persistence of simple food chains. Math. Biosci. 76, 69-86 (1985) · Zbl 0572.92025 · doi:10.1016/0025-5564(85)90047-1
[6]Haas, C. N.: Application of predator-prey models to disinfection. J. Water Pollut. Control. Fed. 53, 378-386 (1981)
[7]Hallam, T. G., Clark, C. E.: Nonautonomous logistic equations as models of populations in a deteriorating environment. J. Theor. Biol. 93, 303-311 (1982) · doi:10.1016/0022-5193(81)90106-5
[8]Hallam, T. G., Clark, C. E., Jordan, G. S.: Effects of toxicants on populations: a qualitative approach II. First order kinetics. J. Math. Biol. 18, 25-37 (1983)
[9]Hallam, T. G., Clark, C. E., Lassiter, R. R.: Effects of toxicants on populations: a qualitative approach I. Equilibrium environmental exposure. Ecolog. Model. 18, 291-304 (1983) · doi:10.1016/0304-3800(83)90019-4
[10]Hallam, T. G., de Luna, J. T.: Effects of toxicants on populations: a qualitative approach III. Environmental and food chain pathways. J. Theor. Biol. 109, 411-429 (1984) · doi:10.1016/S0022-5193(84)80090-9
[11]Jensen, A. L., Marshall, J. S.: Application of a surplus production model to assess environmental impacts on exploited populations of Daphnia pluex in the laboratory. Environ. Pollut. (Ser. A) 28, 273-280 (1982) · doi:10.1016/0143-1471(82)90143-X
[12]Lancaster, P. L., Tismenetsky, M.: The Theory of Matrices, Second Edition. New York: Academic Press 1985
[13]Nelson, S. A.: The problem of oil pollution of the sea. In: Advances in Marine Biology, pp. 215-306. London: Academic Press 1970
[14]Shukla, J. B., Freedman, H. I., Pal, V. N., Misra, O. P., Agarwal, M., Shukla, A.: Degradation and subsequent regeneration of a forestry resource: a mathematical model. Ecolog. Model. 44, 219-229 (1989) · doi:10.1016/0304-3800(89)90031-8
[15]Woodman, J. N., Cowling, E. B.: Airborne chemicals and forest health. Environ. Sci. Technol. 21, 120-126 (1987) · doi:10.1021/es00156a001