Canard solutions in equations with backward bifurcations

Prelegent(ci)

Katarzyna Szymańska-Dębowska

Afiliacja

Politechnika Łódzka

Termin

6 czerwca 2018 14:15

Pokój

p. 4050

Seminarium

Seminarium Zakładu Biomatematyki i Teorii Gier

---

We consider a delayed exchange of stabilities for solutions of a singularly perturbed nonautonomous equation in the case when a backward bifurcation of its quasi--steady (critical) manifolds occurs. This result is applied to provide a precise descriptions of canard solutions to singularly perturbed predator--prey models of Rosenzweig--MacArthur and Leslie--Gowers type.

---