Uniqueness and Nonuniqueness of Coexistence States in the Lotka-VolterraCompetition Model

摘要

The motivation for this study comes from ecology and biology, and system (t. 1)is usually referred to as the Lotka-Volterra competition model. Here U and v denote the population densities of two species in certain competing environments. The positive constants k1, k2 in (1.1) are the diffusion rates of these species from high density regions to low density ones; while a, d, b, C, e, f are in