Existence of stationary solutions for some systems of integro-differential equations with superdiffusion

In this article, we establish the existence of solutions of a system of integro-differential equations arising in population dynamics in the case of anomalous diffusion. The proof of the existence of solutions is based on a fixed point technique. Solvability conditions for elliptic operators without the Fredholm property in unbounded domains are used. © 2017 Rocky Mountain Mathematics Consortium.