TITLE:
Bifurcation Analysis of a Stage-Structured Prey-Predator System with Discrete and Continuous Delays
AUTHORS:
Shunyi Li, Wenwu Liu, Xiangui Xue
KEYWORDS:
Three-Stage-Structured; Prey-Predator Model; Time Delay; Hopf Bifurcation
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.7,
July
11,
2013
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 equilibrium occurring Hopf bifurcation are given,
by applying the theorem of Hopf bifurcation. Finally, numerical simulation
and brief conclusion are given.