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Persistence and Stability in a Delayed Ratio-Dependent Ecological System with One Predator and Two Preys
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- Author:
- No author available
- Journal Title:
- JOURNAL OF BIOMATHEMATICS
- Issue:
- 2
- DOI:
- 10.3969/j.issn.1001-9626.2002.02.003
- Key Word:
- 时滞;一致持续生存;局部渐近稳定性;Time delay;Uniform persistence;Local asymptotic stability
Abstract： A delayed ratio-dependent ecological model with one predator andtwo preys is investigated. It is shown that the system is permanent under some appro-priate conditions; by constructing a suitable Lyapunov functional, sufficient conditionsare derived for the local stability of a positive equilibrium of the model.
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