Pii: S0025-5564(99)00049-8
نویسندگان
چکیده
We show via a Liapunov function that in every model ecosystem governed by generalized Lotka±Volterra equations, a feasible steady state is globally asymptotically stable if the number of interaction branches equals nÿ 1, where n is the number of species. This means that the representative graph for which the theorem holds is a `tree' and not only an alimentary chain. Our result is valid also in the case of nonhomogeneous systems, which model situations in which input ̄uxes are present. Ó 2000 Elsevier Science Inc. All rights reserved.
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