NCTAM papers, National Congress of Theoretical and Applied Mechanics, Japan
The 60th Japan National Congress for Theoretical and Applied Mechanics
Session ID : OS18-01
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OS18
Stable coexistence and invasibility in a chemostat-type resource competition
*Yasuhisa Saito
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Abstract
Competition theory has developed separately for direct competition and for exploitative competition. However, the combined effects of the two types of competition on species coexistence remain unclear. To examine how intraspecific and interspecific direct competition contributes to the coexistence of species competing for a single resource, we construct a chemostat-type resource competition model. We derive necessary and sufficient conditions (except for a critical case that rarely occurs in a biological sense) that determine the number of stably coexisting species, which also clarify that the number of coexisting species is determined just by the invasibility of each species into subcommunities with a smaller number of species. In addition, using a combination of rigorous mathematical theory and a simple graphical method, we can demonstrate how the stronger intraspecific direct competition facilitates species invasion, leading to a larger number of coexisting species.
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© 2011 The Japan Society of Mechanical Engineers
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