2011•Journal of Lanzhou University of TechnologyRequires access

Stability and bifurcation of a stage-structured predator-prey system

She Yu-xing

Abstract

A stage-structured predator-prey system with Holling Ⅱfunctional response was investigated,where the time-delay was the bifurcation parameter.Some conditions of local stability of the positive equilibrium and the existence of Hopf bifurcation were obtained by analyzing the roots of associated characteristic equation.Some numerical simulations were given,also.

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Key concepts: Mathematics, Hopf bifurcation, Functional response, Bifurcation, Predation, Predator, Stability (learning theory), Stage (stratigraphy)