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Bifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays
Department of Mathematics, Qiannan Normal College for Nationalities, Duyun, China
Department of Mathematics, Qiannan Normal College for Nationalities, Duyun, China
Department of Mathematics, Qiannan Normal College for Nationalities, Duyun, China
- 1 Department of Mathematics, Qiannan Normal College for Nationalities, Duyun, China
- 2 Department of Mathematics, Qiannan Normal College for Nationalities, Duyun, China
- 3 Department of Mathematics, Qiannan Normal College for Nationalities, Duyun, China
Applied Mathematics·Volume 04 (2013)·Pages 1059–1064·Published 28 June 2013·DOI10.4236/am.2013.47144
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Abstract
A three-stage-structured prey-predator model with discrete and continuous time delays is studied. The characteristic equations and the stability of the boundary and positive equilibrium are analyzed. The conditions for the positive equi librium occurring Hopf bifurcation are given, by applying the theorem of Hopf bifurcation. Finally, numerical simula tion and brief conclusion are given.
KeywordsThree-Stage-StructuredPrey-Predator ModelTime DelayHopf Bifurcation
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