global stability for a predator-prey model with dispersal among patches
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ID: 199942
2014
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Abstract
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.
| Reference Key |
gao2014abstractglobal
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|---|---|
| Authors | ;Yang Gao;Shengqiang Liu |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/176493
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| URL | |
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