A Two-Species Cooperative Lotka-Volterra System of Degenerate Parabolic Equations

الملخص EN

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.