We investigate a predator-prey model with dispersal for both predator and prey among n patches; our main purpose is to extend the global stability criteria by Li and Shuai (2010) on a predator-prey model with dispersal for prey among n patches. By using the method of constructing Lyapunov functions based on graph-theoretical approach for coupled systems, we derive sufficient conditions under which the positive coexistence equilibrium of this model is unique and globally asymptotically stable if it exists.
"Global Stability for a Predator-Prey Model with Dispersal among Patches." Abstr. Appl. Anal. 2014 (SI01) 1 - 6, 2014. https://doi.org/10.1155/2014/176493