Chinese Quarterly Journal of Mathematics ›› 2007, Vol. 22 ›› Issue (1): 29-37.

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Dynamic Behavior of a Predator-prey System with Stage-structure for Prey

  

  1. 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,China; 2.College of Mathematics and Information Science,Henan University,Kaifeng 475001,China;Institute of Applied Mathematics,Henan University,Kaifeng 475001,China)
  • Received:2006-10-10 Online:2007-03-30 Published:2023-11-10
  • About author:ZHANG Jia-fang(1981-),male,native of Kaifeng,Henan,M.S.D.,engages in functional differ- ential equations theory and its application.

Abstract: In this paper,we considered the predator-prey system with stage-structure for prey,where the predators predate immature preys only.The positivity and boundedness of the solutions and asymptotic stability of equilibrium were firstly discussed,and then uniformly persistent sufficient conditions of populations were found.

Key words: stage-structure;global ,  asymptotic , stability;predator-prey;Lyapunov , func- tions;uniform persistence

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