Author(s)

Xijuan Liu, Yun Liu^*

College of Information Engineering, Tarim University, Alar, China.

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.

Ecological Model, Stability, Bifurcation, Numerical Simulation

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.