Abstract
A rather unusual but realistic two-dimensional dynamical system is formulated, analysed, and interpreted for the interactions of earthworms and plant litter in soils. The model proposes the use of litter quality as an independent variable as well as the elapsed time. The system is searched for thresholds beyond which the system is sustainable with an asymptotically stable steady state. Only one such state is possible. The outcome is that there is a threshold on the average quality value of the litter input which has to be above a certain value for the system to be sustainable. For special descriptions of the litter input and palatability dependence on quality, explicit solutions are possible for the stability analysis. ©
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