Stability of a Predator Prey Model with Stage Structure and Intra-Specific Competition

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 226)


In this paper, stability of predator prey model with stage structure and intra-specific competition is investigated. Sufficient conditions for global attractiveness of positive equilibrium are derived by using iterative technique and comparison theorem.


Stage structure In transpacific interference Predator prey model Stability 


  1. 1.
    Liu S, Chen L, Agawam R (2002) Recent progress on stage-structured population dynamics. Math Comput Model 14(36):1319–1360Google Scholar
  2. 2.
    Aiello WG, Freedman HI (1990) A time delay model of sing-species growth with stage structure. Math Bios 22(101):139–153CrossRefMathSciNetGoogle Scholar
  3. 3.
    Tang S, Chen L (2002) The effect of seasonal harvesting on stage-structured population models. J Math Anal Appl 13(274):667–684Google Scholar
  4. 4.
    Cantrell RS, Costner C (2001) On the dynamics of predator-prey models with the bed ding ton-de angelis functional response. J Math Anal App 54(57):206–222Google Scholar
  5. 5.
    Song X, Chen L (2001) Optimal harvesting and stability for a two species competitive system with stage structure. Math Basic 56(170):173–186CrossRefMathSciNetGoogle Scholar
  6. 6.
    Hale JK (1997) Theory of functional differential equations, vol 61(9). Springer, New York, pp 135–142Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Hunan College of InformationChangshaChina

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