日本生態学会誌
Online ISSN : 2424-127X
Print ISSN : 0021-5007
ISSN-L : 0021-5007
それぞれ一種からなる生産者-消費者系の単純な数学モデル
穂積 和夫石原 通雄篠崎 吉郎
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ジャーナル フリー

1976 年 26 巻 4 号 p. 191-197

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A simple mathematical model originating from Shinozaki's predator-prey model is proposed to simulate the one-producer-one-consumer system. To construct the model the following assumptions are made : the producer-biomass follows the exponential growth curve and the rate of its loss is proportional to the consumer-biomass, while the consumer-biomass follows an logistic crrve whose asymptote is proportional to the producer-biomass. The exact analytical solutions of the present non-linear model distinguish between various patterns of growth curves of producer-and consumer-biomasses. Properties of growth curves, such as extreme values of biomass, extinction time, biomass duration, etc. are discussed from both biological and mathematical viewpoints.

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© 1976 一般社団法人 日本生態学会
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