Persistence and Periodicity of Nonautonomos n-Species Cooperative System with Feedback Controls and Smith Growth for Prey

Xu Sun, Rong Cheng
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Abstract

In this paper, a non-autonomous n-Species Lotka-Volterra cooperative system with feedback controls and smith growth for prey is investigated. By using Comparability Theorem, constructing Lyapunov function and Continuation Theorem, a set of easily verifiable sufficient conditions are obtained to guarantee the permanent and Positive periodic solution global attractivity of the system.
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具有反馈控制和猎物Smith生长的非自治n物种合作系统的持久性和周期性
研究了一类具有反馈控制和猎物smith生长的非自治n物种Lotka-Volterra合作系统。利用可比性定理,构造Lyapunov函数和延拓定理,得到了一组易于验证的充分条件,以保证系统的周期解永久且正全局吸引。
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