We consider a three-species competition-diffusion system, in order to discuss the problem of competitor-mediated coexistence in situations where one exotic competing species invades a system that already contains two strongly competing species. It is numerically shown that, under some conditions, there exist stable non-constant equilibrium solutions that indicate the coexistence of two strongly competing species. This result motivates us to develop a semi-exact representation for finding these equilibrium solutions from an analytical viewpoint.
"Semi--exact equilibrium solutions for three-species competition--diffusion systems." Hiroshima Math. J. 43 (2) 179 - 206, July 2013. https://doi.org/10.32917/hmj/1372180511