Toronto, December 6 - 9, 2019
This talk is based on the joint works with Xi Huo, Yanni Xiao, Shigui Ruan, Manisha A. Kulkarni, Beate Sander, and Jianhong Wu.
In this talk, we consider tick dynamics with a special focus on diapause. Here we analyze how several ecological factors and environment variations affect this phenomenon. Then, we present one of our recent ongoing research projects which incorporates Delay Differential Equations (DDE) to model tick growth and diapause in a two-patch environment. We examine the existence and stability of equilibria and the occurrence of Hopf bifurcations. This is based on a joint work with Xue Zhang and Jianhong Wu.