Stability and bifurcation analysis of a ratio-dependent community dynamics model on Batesian mimicry

DOI10.1007/S00285-019-01359-YzbMath1450.37087OpenAlexW2941092784WikidataQ91558214 ScholiaQ91558214MaRDI QIDQ2311904

Takenori Takada, Hayato Kato

Publication date: 4 July 2019

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-019-01359-y

zbMATH Keywords

stabilitybifurcationirreversibilityratio-dependent predator-prey systemmodel-mimic community dynamics

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40)

Related Items (2)

The eco-evolutionary dynamics of Batesian mimicry ⋮ The generation mechanism of Turing-pattern in a tree-grass competition model with cross diffusion and time delay

Cites Work

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• A model for population dynamics of the mimetic butterfly \textit{Papilio polytes} in the Sakishima islands, Japan
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• Spatial mosaic and interfacial dynamics in a Müllerian mimicry system.
• Global dynamics of a ratio-dependent predator-prey system
• Survival benefits in mimicry: a quantitative framework
• The evolution of a Müllerian mimic in a spatially distributed community
• Models of population genetics of Batesian mimicry
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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