Zip and velcro bifurcations in competition models in ecology and economics

Gallas, Jason A. C.

doi:10.1140/epjst/e2020-900173-6

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Zip and velcro bifurcations in competition models in ecology and economics

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Gallas, Jason A. C.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Gallas, J. A. C. (2020). Zip and velcro bifurcations in competition models in ecology and economics. European Physical Journal - Special Topics, 229(6-7), 973-977. doi:10.1140/epjst/e2020-900173-6.

Cite as: https://hdl.handle.net/21.11116/0000-0006-9841-5

Abstract

During the last six years or so, a number of interesting papers discussed systems with line segments of equilibria, planes of equilibria, and with more general equilibrium configurations. This note draws attention to the fact that such equilibria were considered previously by Miklos Farkas (1932-2007), in papers published in 1984-2005. He called zip bifurcations those involving line segments of equilibria, and velcro bifurcations those involving planes of equilibria. We briefly describe prototypical situations involving zip and velcro bifurcations.