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Canard solutions and singularly perturbed predator-prey models

Speaker(s)
Katarzyna Szymańska-Dębowska
Affiliation
Politechnika Łódzka
Date
Jan. 12, 2022, 12:15 p.m.
Information about the event
4060 oraz https://us02web.zoom.us/j/89788218933?pwd=aVc2UHdwRWMwZy8yK24rQTJWRW42QT09 Meeting ID: 897 8821 8933 Passcode: Biomat
Seminar
Seminar of Biomathematics and Game Theory Group

We consider a singularly perturbed initial value problem in the case of intersecting quasi stationary manifolds. The main results are concerned with the asymptotic behavior of solutions as the small parameter tends to zero. As an application, we consider two predator-prey models: the Rosenzweig-MacArthur model and the Leslie-Gowers/Holling model.