SREL Reprint #2031





Bioaccumulation models with time lags: Dynamics and stability criteria

Michael C. Newman, Rosemary H. Jagoe
Savannah River Ecology Laboratory, University of Georgia, P.O. Drawer E, Aiken, SC 29802, USA


Simple bioaccumulation models predict a monotonic increase in concentration with time until an equilibrium concentration is reached. However, unconsidered dynamics including deterministic oscillations occur if realistic time s are incorporated. Stability criteria are provided for difference and differential forms of the simplest model. These criteria provide the means of identifying systems expected to exhibit monotonically damped, exponentially damped, or diverging oscillations in toxicant concentration. These unconsidered dynamics can render invalid the assumption of a single equilibrium concentration used in estimation of bioconcentration factors.

Key words: Bioaccumulation; Stability; Time lag; Toxicology

SREL Reprint #2031

Newman, M.C. and R.H. Jagoe. 1996. Bioaccumulation models with time lags: Dynamics and stability criteria. Ecological Modelling 84:281-286.

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