vix.ing · top · new · best · stats · spec

A global mathematical investigation of a predator-prey model

2009/11/05 by S. A. Treskov, Treskov, S. A., E. P. Volokitin +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · #34C #37G #92D #Advanced Differential Equations and Dynamical Systems #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE) #math.DS #msc:34C #msc:37G #msc:92D #nlin.CD #q-bio.PE

paper · pdf · doi:10.48550/arxiv.0911.1007

11 pages, 7 Postscript figures

arxiv created 2009/11/05 · openalex publication_date 2009/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct a global bifurcation diagram of the plane differential system l x = x(1-x)-x y/(a+x2), y = y(δ-βy/x), x(t)>0, y(t)>0, a>0, δ>0, β>0, which describes the predator-prey interaction.

Related