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On the nonautonomous Volterra-Lotka competition equations

1993; American Mathematical Society; Volume: 117; Issue: 1 Linguagem: Inglês

10.1090/s0002-9939-1993-1143013-3

1088-6826

Shair Ahmad,

Mathematical and Theoretical Epidemiology and Ecology Models

A nonautonomous competitive Lotka-Volterra system of two equations is considered. It is shown that if the coefficients are continuous and satisfy certain inequalities, then any solution that is positive at some point has the property that one of its components vanishes while the other approaches a certain solution of the logistic equation.