Canard solutions in equations with backward bifurcations

Speaker(s)

Katarzyna Szymańska-Dębowska

Affiliation

Politechnika Łódzka

Date

June 6, 2018, 2:15 p.m.

Room

room 4050

Seminar

Seminar of Biomathematics and Game Theory Group

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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.

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