@Article{JNMA-2-173,
author = {Xiang , ChuangLu , Ming and Huang , Jicai},
title = {Bogdanov-Takens Bifurcation in a Host-Parasitoid Model},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2021},
volume = {2},
number = {2},
pages = {173--185},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2020.173},
url = {http://global-sci.org/intro/article_detail/jnma/18805.html}
}