Stability conditions of a coupled system of fractional \(q\)-difference Lotka-Volterra model (Q2289488)

Summary: In this paper, we study the existence and uniqueness of solutions for the boundary value problems of a class of coupled system of fractional \(q\)-difference Lotka-Volterra equations involving the Caputo fractional derivative. The results of this paper can provide a reference for determining whether a given predator-prey system can reach equilibrium states after a certain number of years. Our results are based on the non-linear alternative of Leray-Schauder type and Banach's fixed point theorem. At applications, the stability of fractional \(q\)-difference Lotka-Volterra equations is presented to illustrate our main results.