マイクロコズムの数学モデル(第3報) : 系の多様性とその安定性 [in Japanese] A Mathematical Modeling for Microcosms (Part 3) : System Diversity and its Stability [in Japanese]
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In this paper, the relationship between system diversity and its stability was discussed using a mathematical model of a microcosm reported in the first report. To examine this relationship, behavior of the system for changing number of species and maximum growth rate coefficients of microorganisms was observed. Maximum growth rate coefficients in the model were adjusted through the activity indices for cell division (energy for multiplication). The following aspects were analyzed in simulation results: (1) spatial habitat segregation for two kinds of decomposers was observed, and when they competed spatially, the system became thermodynamically unstable; (2) coexistence through differentiation of characteristics of organisms was quantitatively determined; and (3) the stability of the system was observed by changing the topology of the food web and strength of its links. These results provided information about invasion of an existing ecosystem by a new species.
Eco-Engineering 20(1), 19-25, 2008-01-31
The Society of Eco-Engineering