ty -jour a2 -lopez -renteria，Jorge -Antonio au- Amador，Jorge A. Au -Redondo，Johan Manuel au -Olivar -Tost，Gerard Au -Gerard au -Erazo -erazo，Christian Py -2021 DA -2021/09/27 TI-合作 --Based Modeling of Sustainable Development: An Approach from Filippov’s Systems SP - 4249106 VL - 2021 AB - The concept of Sustainable Development has given rise to multiple interpretations. In this article, it is proposed that Sustainable Development should be interpreted as the capacity of territory, community, or landscape to conserve the notion of well-being that its population has agreed upon. To see the implications of this interpretation, a Brander and Taylor model, to evaluate the implications that extractivist policies have over an isolated community and cooperating communities, is proposed. For an isolated community and through a bifurcation analysis in which the Hopf bifurcation and the heteroclinic cycle bifurcation are detected, 4 prospective scenarios are found, but only one is sustainable under different extraction policies. In the case of cooperation, the exchange between communities is considered by coupling two models such as the one defined for the isolated community, with the condition that their transfers of renewable resources involve conservation policies. Since human decisions do not occur in a continuum, but rather through jumps, the mathematical model of cooperation used is a Filippov System, in which the dynamics could involve two switching manifolds of codimension one and one switching manifold of codimension two. The exchange in the cooperation model, for specific parameter arrangements, exhibits n - 周期轨道和混乱。值得注意的是，在系统显示滑动的情况下，它可以被解释为与赤字社区所需的时间相关的恢复时间，直到其依赖其他社区停止为止。得出的结论是（1）可持续性分析取决于定义幸福感的方式，因为对幸福感的每个定义不一定是可持续的，（2）可以将可持续性可视化为在非零区域中不变的集合，状态（平衡点， n - 周期性的轨道和奇怪的吸引子）和（3）交换是及时流行的关键。结果我们对可持续发展是否仅仅是为了使我们活着，或者这也意味着尊严地做到这一点。SN -1076-2787 UR -https：//doi.org/10.1155/2021/4249106做 - 10.1155/2021/4249106 JF-复杂性PB- Hindawi KW- Hindawi KW- ER- ER-