We consider a dynamical system involving seven populations to model the presence of voles in a cultivated orchard. The plant population is stratified by age (three groups) and by health status (being damaged or not). The last equation models the voles with a modified logistic equation with Allee effect, where the modification takes into account the disturbance provided by the human activity on the orchard. Both an analytical investigation and numerical simulations on a case study are presented. The latter support the observed differences in the literature, in terms of number of voles, between cultivated and uncultivated fields.

中文翻译：

---

田鼠对果园干扰的模型

我们考虑一个涉及七个种群的动态系统来模拟耕种果园中田鼠的存在。植物种群按年龄（三组）和健康状况（是否受损）进行分层。最后一个方程使用具有 Allee 效应的修正逻辑方程对田鼠进行建模，其中修正考虑了人类活动对果园造成的干扰。提出了案例研究的分析研究和数值模拟。后者支持了文献中观察到的耕地和未耕地之间田鼠数量的差异。