Stationary states of weakly coupled lattice dynamical systems arising in strong competition models

In this work, we consider a weakly coupled lattice dynamical system arising in a strong competition system with bistable nonlinearity. By employing the continuation method developed by MacKay and Sepulchre (1995) [13], we derive estimations of the bounds of the diffusive values d 1 and d 2 below which the existence of infinite stationary states is proved. These stationary states are continuations from the uncoupled lattice dynamical system.