The Effect of Mutualism on Community Stability

概要

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The so-called Lotka-Volterra model, which is thought to be appropriate for the dynamics of mutualislic relationship, tells us that mutualism does not play positive roles for the stability of ecosystem. When the mutualistic interactions between species are stronger than a certain threshold, population sizes of species unlimitedly increases. In the present paper, in order to prevent the divergence, we apply a attice model, and introduce extended Lotka-Volterra equations. The latter is the mean-field theory of the former. These models contain the property of competition due to space limitation. In both models population is usually stable, when the intensity of mutualism are strong. In the lattice model, spatial distribution of species naturally evolves into a specific pattern of either mutualism or competition, depending on environmental conditions.
社団法人日本物理学会の論文
2003-04-15