Year: 2020
Author: Chuang Xiang, Ming Lu, Jicai Huang
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 173–185
Abstract
In this paper, we study a host-parasitoid model with Holling II Functional response, where we focus on a special case: the carrying capacity $K_2$ for parasitoids is equal to a critical value $\frac{r_1}{η}$. It is shown that the model can undergo Bogdanov-Takens bifurcation. The approximate expressions for saddle-node, Homoclinic and Hopf bifurcation curves are calculated. Numerical simulations, including bifurcation diagrams and corresponding phase portraits, are also given to illustrate the theoretical results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.173
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 2 : pp. 173–185
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Host-parasitoid model Holling II functional response Bogdanov-Takens bifurcation.