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Li, M.S., Liu, X.M. and Zhou, X.L. (2016) The Dynamic Behavior of a Discrete Vertical and Horizontal Transmitted Disease Model under Constant Vaccination. International Journal of Modern Nonlinear Theory and Application, 5, 171-184.
https://doi.org/10.4236/ijmnta.2016.54017

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.