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Zbl 0949.92028
Xu, Rui; Chen, Lansun
Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment. (English)
[J] Comput. Math. Appl. 40, No.4-5, 577-588 (2000). ISSN 0898-1221

Summary: A two-species ratio-dependent predator-prey diffusion model with time delay is investigated. It is shown that the system is permanent under some appropriate conditions, and sufficient conditions are obtained for the local and global stability of the positive equilibrium of the system.

MSC 2000:: *92D40 Ecology
34D05 Asymptotic stability of ODE
92D25 Population dynamics
34C60 Applications of qualitative theory of ODE
34D23 Global stability

Keywords: uniform persistence; global asymptotic; diffusion; time delay

Cited in: Zbl 1209.92061

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