A ratio-dependent one predator, two competing prey model with delays and refuges. (Chinese. English summary) Zbl 1224.92048

Yu, Shengping; Xiong, Wentao; Qi, Huan

Math. Appl. 23, No. 1, 198-203 (2010).

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:

92D40	Ecology
34K20	Stability theory of functional-differential equations

Keywords:

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