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A Continuous Model for the Ecological Collapse of Easter Island

机译：复活节岛生态崩溃的连续模型

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In this article a mathematical model describing the possible events that could have lead to the ecological catastrophe of Easter Island is extended in a way that instead of the originally spatially discrete model (the domain is split into several regions) now a spatially continuous one is considered (the number of each population is observed at each point of the domain). In other words, the original system of ordinary differential equations is transformed into a system of partial differential equations, and then the effect of the diffusion of the trees is observed, i.e. whether it stabilizes the system like in the original case, or not. It turned out that because the linearized system can be written in a pretty similar form to the matrix of the two dimensional case which was examined in a previous article [10], the same theorems can be said about this system, meaning that the increase of the diffusion of the trees actually stabilizes the system in this case too.
机译：在本文中，描述了可能导致复活节岛生态灾难的可能事件的数学模型以代替最初的空间离散模型（域名分为几个区域）现在被认为是空间连续的方式（在域的每个点观察每个人群的数量）。换句话说，常规方程的原始系统被转换为部分微分方程的系统，然后观察到树的扩散的效果，即它是否稳定在原始情况下的系统。事实证明，因为线性化系统可以用相当类似的形式写入前一篇文章中检查的二维壳体的矩阵[10]，所以关于该系统可以说相同的定理，这意味着增加树木的扩散实际上在这种情况下稳定了系统。

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