@Article{JNMA-2-2, author = {Xiang, Chuang and Ming, Lu and Jicai, Huang}, title = {Bogdanov-Takens Bifurcation in a Host-Parasitoid Model}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2020}, volume = {2}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.173}, url = {https://global-sci.com/article/88007/bogdanov-takens-bifurcation-in-a-host-parasitoid-model} }