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Dynamics of a non-autonomous ratio-dependent predator—prey system

  • Meng Fan (a1), Qian Wang (a1) and Xingfu Zou (a2)

Abstract

We investigate a non-autonomous ratio-dependent predator–prey system, whose autonomous versions have been analysed by several authors. For the general non-autonomous case, we address such properties as positive invariance, permanence, non-persistence and the globally asymptotic stability for the system. For the periodic and almost-periodic cases, we obtain conditions for existence, uniqueness and stability of a positive periodic solution, and a positive almost-periodic solution, respectively.

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