Extinction in predator-prey models with time delay.
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Animals↗
Biomedical subjects
T C Gard
Publications and source records attributed to T C Gard.
Stochastic models for toxicant-stressed populations.
We obtain conditions for the existence of an invariant distribution on (0, infinity) for stochastic growth models of Ito type. We interpret the results in the case where the intrinsic growth rate is adjusted to account for the impact of a toxicant on the population. Comparisons with related results for ODE models by Hallam et al. are given, and consequences of taking the Stratonovich interpretation for the stochastic models are mentioned.
Environmental Pollution↗
Top predator persistence in differential equation models of food chains: the effects of omnivory and external forcing of lower trophic levels.
Persistence criteria are given for the highest trophic level predator in ordinary differential equation models of food chains exhibiting arbitrary omnivory and external supplementation of food source or an intermediate predator. The results are expressed in terms of inequalities involving the bounds on the intrinsic growth and interaction rates. Whether omnivory or external forcing enhances persistence is discussed, particularly for the examples of three-, four-, and five-link Lotka-Volterra food chains.
Animals↗