TITLE:
Bifurcation and Chaos in a Parasitoid-Host-Parasitoid Model
AUTHORS:
Xijuan Liu, Yun Liu
KEYWORDS:
Ecological Model, Stability, Bifurcation, Numerical Simulation
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.7 No.1,
March
8,
2018
ABSTRACT: This paper discusses a parasitoid-host-parasitoid ecological model and its dynamical behaviors. On the basis of the center manifold theorem and bi-furcation theory, the existence conditions of the flip bifurcation and Neimark-Sacker bifurcation are derived. In the end of the paper, some typical numerical experiments are performed, which illustrate that the theoretical method is effective.