Transitions of interaction outcomes in a uni-directional consumer-resource system

Journal of Theoretical Biology
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Abstract

A uni-directional consumer-resource system of two species is analyzed. Our aim is to understand the mechanisms that determine how the interaction outcomes depend on the context of the interaction; that is, on the model parameters. The dynamic behavior of the model is described and, in particular, it is demonstrated that no periodic orbits exist. Then the parameter (factor) space is shown to be divided into four regions, which correspond to the four forms of interaction outcomes; i.e. mutualism, commensalism, parasitism and amensalism. It is shown that the interaction outcomes of the system transition smoothly among these four forms when the parameters of the system are varied continuously. Varying each parameter individually or varying pairs of parameters can also lead to smooth transitions between the interaction outcomes. The analysis leads to both conditions for which each species achieves its maximal density, and situations in which periodic oscillations of the interaction outcomes emerge. ?? 2011 Elsevier Ltd.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Transitions of interaction outcomes in a uni-directional consumer-resource system
Series title Journal of Theoretical Biology
DOI 10.1016/j.jtbi.2011.03.038
Volume 280
Issue 1
Year Published 2011
Language English
Larger Work Type Article
Larger Work Subtype Journal Article
Larger Work Title Journal of Theoretical Biology
First page 43
Last page 49