We consider a cooperating two-species Lotka-Volterra model of degenerate parabolic equations. We are interested in the coexistence of the species in a bounded domain. We establish the existence of global generalized solutions of the initial boundary value problem by means of parabolic regularization and also consider the existence of the nontrivial time-periodic solution for this system.
"A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations." Abstr. Appl. Anal. 2011 (SI1) 1 - 18, 2011. https://doi.org/10.1155/2011/714248