DYNAMICS OF A LOTKA-VOLTERRA COMPETITION-DIFFUSION MODEL WITH STAGE STRUCTURE AND SPATIAL HETEROGENEITY

摘要

This paper is concerned with a Lotka-Volterra competition-diffusion model with stage structure and spatial heterogeneity. By analyzing the sign of the principal eigenvalue corresponding to each semi-trivial solution, we obtain the linear stability and global attractivity of the semi-trivial solution. In addition, an attracting region was obtained by means of the method of upper and lower solutions.