Persistence and stability for a two-species ratio-dependent predator-prey system with distributed time delay |
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Authors: | R. XuF.A. Davidson M.A.J. Chaplain |
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Affiliation: | Department of Mathematics, University of Dundee, Dundee DD1 4HN, Scotland, UK |
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Abstract: | A two-species ratio-dependent predator-prey model with distributed time delay is investigated. It is shown that the system is persistent under some appropriate conditions, and sufficient conditions are obtained for both the local and global stability of the positive equilibrium of the system. |
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Keywords: | Time delay Uniform persistence Local stability Global stability |
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