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A refuge-mediated apparent competition model
Journal article

A refuge-mediated apparent competition model

Lih-Ing Wu Roeger
Canadian Applied Mathematics Quarterly, Vol.19(3), pp.219-234
09/2011

Abstract

Apparent competition Lyapunov function Refuge-mediated
We analyze a competition model of two plant species for a single-limited resource while the competition is ap-parent: an indirect interaction where the invading plants pro-vide a refuge for a shared consumer, subsequently increasing the consumer pressure on the resident plant species. When there is no refuge effect, the resident species is a superior species. As the refuge effect increases, the coexistence state appears as a saddle point with a two-dimensional stable manifold while the two extinction equilibria are locally stable. Thus the refuge-mediated apparent competition creates an Allee effect for both the invading and the resident species. A Lyapunov function is found to show the global stability of the equilibrium in which only the resident species survives.

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