Abstract
System level effects exhibited by a population subjected to a chronic or an acute dose of toxicant are the emphasis of this study. A three dimensional model of a toxicant and a population, with state variables (the population biomass, the concentration of toxicant in an organism, and the concentration of toxicant in the environment) coupled by a linear dose-response function, is analyzed analytically. One of the main results presents sufficient conditions, in terms of a system level parameter, for the persistence, and for the extinction, of a population exposed to a chronic dose of toxicant. When depuration and degradation are negligible processes, the effects of toxicant accumulation associated with an acute exposure of a population are analyzed in some detail. Both persistence and extinction are shown to be viable behavior modes of a population in this biochemical setting.
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Hallam, T.G., Clark, C.E. & Jordan, G.S. Effects of toxicants on populations: A qualitative approach II. first order kinetics. J. Math. Biology 18, 25–37 (1983). https://doi.org/10.1007/BF00275908
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DOI: https://doi.org/10.1007/BF00275908