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Zbl 1224.92048
Yu, Shengping; Xiong, Wentao; Qi, Huan
A ratio-dependent one predator, two competing prey model with delays and refuges. (Chinese. English summary)
[J] Math. Appl. 23, No. 1, 198-203 (2010). ISSN 1001-9847

Summary: We employ the Lyapunov method to study the persistence and global asymptotic stability of positive solutions for a non-autonomous ratio-dependent predator-prey system with delays and refuges. Then we discuss the existence, uniqueness and stability of positive periodic solutions for a corresponding periodic system.
MSC 2000:
*92D40 Ecology
34K20 Stability theory of functional-differential equations

Keywords: ratio-dependent predator-prey system; persistence; global asymptotic stability

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