Persistence and Global Stability in a Delayed Gause-Type Predator-Prey System without Dominating Instantaneous Negative Feedbacks |
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| Authors: | Rui XuMAJ Chaplain |
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| Institution: | a Department of Mathematics, Mechanical Engineering College, Shijiazhuang, 050003, People's Republic of Chinab Department of Mathematics, University of Dundee, Dundee, DD1 4HN, United Kingdom |
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| Abstract: | A delayed Gause-type predator-prey system without dominating instantaneous negative feedbacks is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing a suitable Lyapunov functional, sufficient conditions are derived for the local and global asymptotic stability of the positive equilibrium of the system. |
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| Keywords: | delay uniform persistence stability Lyapunov functional |
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