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On a Non-Autonomous Ratio-Dependent Predator-Prey System with Feedback Controls

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Author:
No author available
Journal Title:
JOURNAL OF BIOMATHEMATICS
Issue:
2
DOI:
10.3969/j.issn.1001-9626.2007.02.002
Key Word:
捕食系统;基于比率;反馈控制;概周期解;全局渐近稳定;Predator-prey system;Ratio-dependent;Feedback controls;Almost periodic solution;Global asymptotic stability

Abstract: In this paper.we consider a nonautonomous ratio-dependent predatorprey model with feedback controls.where all the parameters are time-dependent.we first discuss the positive invariance,permanence and globally asymptotic stability of the model;after that,by constructing a suitable Lyapunov function,we obtain conditions for existence,uniqueness and stability of a positive almost periodic solution.An example shows the feasibility of our main results.

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