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Global Stability of a Predator-Prey System with Stage Structure for the Predator
Authors:Email author" target="_blank">Yan?Ni?XiaoEmail author  Lan?Sun?Chen
Institution:(1) Department of Mathematical Sciences, The University of Liverpool, Liverpool, L69 7ZL, UK;(2) Academy of Mathematics & System Sciences, Chinese Academy of Science, Beijing, 100080, P. R. China;(3) Academy of Mathematics & System Sciences, Chinese Academy of Science, Beijing, 100080, P. R. China
Abstract:Abstract In this paper, some feasibly suffcient conditions are obtained for the global asymptotic stability of a positive steady state of a predator-prey system with stage structure for the predator by using the theory of competitive systems, compound matrices and stability of periodic orbits, and then the work of Wang 4] is improved. This work is supported by National Natural Science Foundation of China
Keywords:Global stability  Predator-prey system  Competitive systems  Stage structure
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