The effect of tree diffusion in a two-dimensional continuous model for Easter Island

被引：1

作者：

Takacs, Balint ^{[1
]}

Horvath, Robert ^{[2
,3
]}

Farago, Istvan ^{[1
,3
]}

机构：

[1] Eotvos Lorand Univ, Dept Appl Anal & Computat Math, Pazmany Peter Stny 1-C, H-1117 Budapest, Hungary

[2] Budapest Univ Technol & Econ, Dept Anal, Egry J U 1, H-1111 Budapest, Hungary

[3] MTA ELTE NumNet Res Grp, Budapest, Hungary

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2019年 / 5卷 / 03期

关键词：

Differential equations; Stability; Easter Island; Modeling; Diffusion; Finite element method; RETHINKING;

D O I：

10.1007/s40879-018-0276-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a two-dimensional continuous model that describes the ecology of Easter Island. We show that the increase of the parameter corresponding to the diffusion of trees on the island has a stabilizing effect on the system, potentially preventing the collapse of island's ecology. Next we give analytic proofs for these statements, and conduct numerical experiments that confirm these results.

引用

页码：845 / 857

页数：13

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