Systèmes dynamiques
Canard Phenomenon for a Class of Epidemiological Models With Nonlinear Incidence
Zhu, Huaiping
York University

By using the singular perturbation theory, especially on canard cycles, we study the canard phenomenon for a class of epidemic models with nonlinear incidence. We discuss and prove that the cyclicity of any possible slow-fast cycle is at most two, that is at most two families of hyperbolic limit cycles or at most one family of limit cycles with multiplicity two can bifurcate from the slow-fast cycle by small perturbations. I will also present the results to the study of transmission and control of trachoma. This is a joint work with Chengzhi Li, Jianquan Li and Zhien Ma.

Lundi, 17 juin, 11h30
Salle Des Plaines A