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原文連結
論文資訊
- 類型：已發表論文
- 日期：2012
摘要
In this paper a question of "how much overconsumption a renewable resource can tolerate" is addressed using a 數學 model, where individuals in a parametrically heterogeneous 族群 not only compete for the common resource but can also contribute to its restoration. Through 分岔 analysis a threshold of system resistance to over-consumers (individuals that take more than they restore) was identified, as well as a series of transitional regimes that the 族群 goes through before it exhausts the common resource and thus goes extinct itself, a phenomenon known as "the tragedy of the commons". It was also observed that (1) for some parameter domains a 族群 can survive or go extinct depending on its initial conditions, (2) under the same set of initial conditions, a heterogeneous 族群 survives longer than a hom
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