We study the existence of multiple co-existence states of the Lotka-Volterra competition model in symmetric domains. We also investigate the stability of these states in various senses. Our method can also be used in the study of periodic solutions.
Changfeng Gui. "On the Lotka-Volterra competition model in symmetric domains." Differential Integral Equations 8 (8) 2079 - 2096, 1995. https://doi.org/10.57262/die/1369056141