Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842393 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 10 Pages |
Abstract
We prove that (λ∗,C/λ∗)(λ∗,C/λ∗) is an eventually uniform-asymptotically stable point in the large of the system L̇=C−LG,Ġ=(L−λ(t))G. on the quadrant {(L,G):L≥0,G>0}{(L,G):L≥0,G>0}. Here function λ(t)λ(t) is positive and λ(t)→λ∗>0λ(t)→λ∗>0 as t→∞t→∞. The study was inspired by observations of distributions of peculiar carnivore and herbivore fish species in Lake Tanganyika.
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Authors
A. Dénes, L. Hatvani, L.L. Stachó,