Qualitative permanence of Lotka-Volterra equations.
In this paper, we consider permanence of Lotka-Volterra equations. We investigate the sign structure of the interaction matrix that guarantees the permanence of a Lotka-Volterra equation whenever it has a positive equilibrium point. An interaction matrix with this property is said to be qualitatively permanent. Our results provide both necessary and sufficient conditions for qualitative permanence.
Department of Mathematics, University Vienna, Nordbergstrasse 15, 1090 Vienna, Austria.
Josef
J
Hofbauer
Ryusuke
R
Kon
Yasuhisa
Y
Saito
D004463:Ecology / Q000706:statistics & numerical data; D017753:Ecosystem; D008433:Mathematics; D008954:Models, Biological