Abstract
We study a system of two integrodifierential equations which models the evolution of a biotic species feeding on an abiotic resource. We also consider nutrient recycling with time delay. By Hopf bifurcation theory we prove the existence of stable oscillations for a range of values of the input of nutrients.
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Work performed within the activity of the research group “Evolution Equations and Physico-Mathematical Applications”, M.P.I. (Italy), and under the auspices of G.N.F.M., C.N.R. (Italy)
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Beretta, E., Bischi, G.I. & Solimano, F. Oscillations in a system with material cycling. J. Math. Biology 26, 143–167 (1988). https://doi.org/10.1007/BF00277730
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DOI: https://doi.org/10.1007/BF00277730