2 problems

Bistability conjecture. There exist initial data $[u_0(x),v_0(x)]$ such that the corresponding solution $(u,v)$ converges uniformly to $(u^*,v^*)$ as $t\to\infty$, while for some o…

Extinction and convergence conjecture. The predators $(X_{j^*+1},\dots,X_n)$ go extinct, in the sense that