论文标题
非线性费舍尔 - 科尔莫格罗夫系统的最佳控制
Optimal control for the nonlinear Fisher-Kolmogorov system with applications to aquatic plant management
论文作者
论文摘要
人群的时空动力学可以通过反应扩散Fisher-Kolmogorov模型来描述。在这项工作中，我们提出了一种新的公式，以解决时间动态中水生植物的控制问题。该问题的解决方案扩展到了时空的Fisher-Kolmogorov系统，其中多种植物在同一位置相互作用。该控制由人类干预作为水生植物管理的策略组成。在我们的应用中，已经考虑了一种植物和两种植物案例。提出了仿真结果，以显示拟议的控制策略的有效性。
Spatiotemporal dynamics of populations may be described by the reaction-diffusion Fisher-Kolmogorov model. In this work we have proposed a new formulation for a control problem of aquatic plants in a temporal dynamics. The solution of this problem is extended to a spatiotemporal Fisher-Kolmogorov system with multiple species of plants interacting in the same place. The control consists on human intervention as a strategy for management of the aquatic plants. In our applications, one plant and two plants cases have been considered. Simulation results are presented to show the effectiveness of the proposed control strategies.
