We address the management of invasive estuarine herbs providing some economic benefits and characterized by two modes of reproduction affecting the ecosystem. The study began by analyzing the stability of the plant dynamics using an approximate model resulting from the negligence of the seasonality in seedlings production. The optimal control seeks to find strategies with a minimal implementation cost by way of incorporating the plant profit in the payoff function. Optimal strategies were designed and implemented to control proliferation scenarios using a two‐class compartmental model. Furthermore, the optimal control system was derived for the approximate model as well as for the model including the seasonality feature. Finally, numerical simulations were performed to demonstrate the effectiveness of the control laws for both systems.

中文翻译：

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具有经济效益的入侵物种的最佳控制：在香蒲增生中的应用

我们着眼于侵入性河口草药的管理，该方法具有一定的经济效益，其特点是影响生态系统的两种繁殖方式。该研究开始于使用近似模型分析植物动态的稳定性，该模型是由幼苗生产中季节性变化的疏忽引起的。最优控制旨在通过将工厂利润纳入回报函数中，以最小的实施成本找到策略。设计和实施了最佳策略，以使用两级隔离模型来控制扩散情况。此外，针对近似模型以及包括季节性特征的模型导出了最佳控制系统。最后，进行了数值模拟，以证明两个系统的控制律的有效性。