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Kulahcioglu, B. and Ufuktepe, U. (2016) A Density Dependent Host-Parasitoid Model with Allee and Refuge Effects. In: Gervasi, O., et al., Eds., Computational Science and Its Applications—ICCSA 2016, Lecture Notes in Computer Science, Vol. 9788, Springer, Cham, 228-239.
https://doi.org/10.1007/978-3-319-42111-7_18
has been cited by the following article:
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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.