Dynamics of a non-autonomous ratio-dependent predator—prey system
Meng Fan, Qian Wang, Xingfu Zou
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Source: Crossref
Published: Feb 1, 2003
DOI: 10.1017/s0308210500002304
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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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