TY - JOUR
T1 - Bogdanov-Takens Bifurcation in a Host-Parasitoid Model
AU - Xiang , Chuang
AU - Lu , Ming
AU - Huang , Jicai
JO - Journal of Nonlinear Modeling and Analysis
VL - 2
SP - 173
EP - 185
PY - 2021
DA - 2021/04
SN - 2
DO - http://doi.org/10.12150/jnma.2020.173
UR - https://global-sci.org/intro/article_detail/jnma/18805.html
KW - Host-parasitoid model, Holling II functional response, Bogdanov-Takens bifurcation.
AB - <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>