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Tian, C.J. and Chen, G.R. (2009) Stability and Chaos in a Class of 2-Dimensional Spatiotemporal Discrete Systems. Journal of Mathematical Analysis and Applications, 356, 800-815.
https://doi.org/10.1016/j.jmaa.2009.03.046

has been cited by the following article:

• 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.