Bifurcation and Chaos in a Parasitoid-Host-Parasitoid Model

Xijuan  Liu; Yun  Liu

doi:10.4236/ijmnta.2018.71001

Xijuan Liu, Yun Liu^*

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.

Keywords: Ecological Model, Stability, Bifurcation, Numerical Simulation

Cite this paper: Liu, X. and Liu, Y. (2018) Bifurcation and Chaos in a Parasitoid-Host-Parasitoid Model. International Journal of Modern Nonlinear Theory and Application, 7, 1-15. doi: 10.4236/ijmnta.2018.71001.

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