Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024495 | Nonlinear Analysis: Real World Applications | 2017 | 24 Pages |
Abstract
In this paper we provide an elementary proof of the existence of canard solutions for a class of singularly perturbed planar systems in which there occurs a transcritical bifurcation of the quasi steady states. The proof uses the one-dimensional result proved by V.F. Butuzov, N.N. Nefedov and K.R. Schneider, and an appropriate monotonicity assumption on the vector field. The result is applied to identify all possible predator-prey models with quadratic vector fields allowing for the existence of canard solutions.
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Authors
J. Banasiak, M.S. Seuneu Tchamga,