×

Persistence and extinction of a population in a polluted environment. (English) Zbl 0714.92027

The authors investigate models of the persistence and extinction of a population in a polluted environment. They don’t make the unnatural assumption that the capacity of the environment is so large that the change of toxicant in the environment that comes from uptake and egestion by the organism can be neglected. The main results are some sufficient conditions on persistence or extinction. Additionally, the threshold between the two has been obtained for most situations of interest.
Reviewer: R.Manthey

MSC:

92D40 Ecology
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Hallam, T. G.; de Luna, J. L., Effects of toxicants on populations: a qualitative approach, III. Environmental and food chain pathways, J. Theor. Biol., 109, 411-429 (1984)
[2] Hallam, T. G.; Ma, Z. E., Persistence in population models with demographic fluctuations, J. Math. Biol., 24, 327-339 (1986) · Zbl 0606.92022
[3] Hallam, T. G.; Ma, Z. E., On density and extinction in continuous population models, J. Math. Biol., 25, 191-201 (1987) · Zbl 0641.92011
[4] 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) · Zbl 0548.92019
[5] Hallam, T. G.; Clark, C. E.; Lassiter, R. R., Effects of toxicants on populations: a qualitative approach. I. Equilibrium environmental exposure, Ecol. Modeling, 18, 291-304 (1983) · Zbl 0548.92018
[7] Ma, Z. E.; Hallam, T. G., Effects of parameter fluctuations on community survival, Math. Biosci., 86, 35-49 (1987) · Zbl 0631.92019
[8] Ma, Z. E.; Song, B. J.; Hallam, T. G., The threshold of survival for systems in a fluctuating environment, Bull. Math. Biol., 51, 3, 311-323 (1989) · Zbl 0676.92010
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.