Entry-exit in the halo of a slow semi-stable curve

2022/03/19 by Claude Lobry, Lobry, Claude
Mathematics · Medicine · #34E17 #34E18 #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.2203.10357

openalex publication_date 2022/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider a slow-fast differential system (SF) in dimension two which appears in the study of some linear model (LM) with periodic coefficients in population dynamics. We show existence of "canard solutions" of (SF) along semi-stable slow curve which explains some stability properties of (LM) when the period tends to infinity.

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