Global Stability of a Predator-Prey System with Stage Structure for the Predator
Acta Mathematica Sinica, English Series
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Acta Mathematica Sinica, English Series  2004, Vol. 20 Issue (1): 63-70    DOI: 10.1007/s10114-002-0234-2
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Global Stability of a Predator-Prey System with Stage Structure for the Predator
Yan Ni XIAO1,2, Lan Sun CHEN2
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
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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.
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Yan Ni XIAO
Lan Sun CHEN
Key wordsGlobal stability   Predator-prey system   Competitive systems   Stage structure     
Received: 2000-12-29;
Fund: This work is supported by National Natural Science Foundation of China
Cite this article:   
Yan Ni XIAO,Lan Sun CHEN. Global Stability of a Predator-Prey System with Stage Structure for the Predator[J]. Acta Mathematica Sinica, English Series, 2004, 20(1): 63-70.
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http://www.actamath.com/Jwk_sxxb_en//EN/10.1007/s10114-002-0234-2      or     http://www.actamath.com/Jwk_sxxb_en//EN/Y2004/V20/I1/63
 
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