In this paper, we analyze a bio-economic model of exploitation of renewable commercial resources. To take into account the typically continuous-time modeling of biological species and, instead, of the specialized harvesting activities, which by its nature cannot change continuously, the resulting dynamic system is of the hybrid type, i.e. continuous for biological variables and discrete for the economic ones. Through a discretization of the continuous variables, the problem is then reformulated by means of a three-dimensional map. Of this map, we study the dynamic properties to understand how economic parameters influence the long-run availability of resources.

中文翻译：

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多物种资源开发的混合动力

在本文中，我们分析了可再生商业资源开发的生物经济模型。考虑到生物物种的典型连续时间建模，而不是专门的收获活动，其性质不能连续变化，由此产生的动态系统是混合类型的，即生物变量是连续的，而生物变量是离散的。经济的。通过连续变量的离散化，然后通过三维映射重新表述问题。我们研究了这张地图的动态特性，以了解经济参数如何影响资源的长期可用性。