Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response

Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response

At the invitation of Center for Mathematical Sciences and School of Mathematics and Physics of CUG, Professor Jicai Huang from Central China Normal University gave a talk titled “Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response” on Oct 14th, 2021. Teachers and students in School of Mathematics and Physics in related research fields attended this academic colloquium.

In this talk Prof. Huang studied a host-generalist parasitoid model with Holling II functional response, where the generalist parasitoids are introduced to control the invasion of the hosts. It is shown that the model can undergo a sequence of bifurcations including cusp, focus and elliptic types degenerate Bogdanov-Takens bifurcations of codimension 3, and a degenerate Hopf bifurcation of codimension up to2 as the parameters vary, and the model exhibits rich dynamics such as the existence of multiple coexistent steady states, multiple coexistent periodic orbits, three kinds of homoclinic orbits (homoclinic to hyperbolic saddle or saddle-node or neutral saddle), etc.