论文标题
其他食物的随机最佳和最佳时间对照研究提供了涉及holling型III功能响应的猎物pred剂系统
Stochastic Optimal and Time-Optimal Control Studies for Additional Food provided prey-predator Systems involving Holling Type-III Functional Response
论文作者
论文摘要
本文由耦合非线性动力学系统的详细且新颖的随机最佳控制分析组成。状态方程被建模为提供的其他食物提供的猎物predenter系统，具有刺激的III型功能响应，用于捕食者和捕食者之间的特定竞争。我们首先将最佳控制问题讨论是线性二次控制的拉格朗日问题。其次，我们考虑在时间最佳控制设置中的最佳控制问题。随机最大原理用于确定这两个问题的最佳控制。数值模拟是基于随机前回向扫描方法来实现理论发现的。在这些最佳控制问题中获得的结果在生物保护和害虫管理的背景下进行了讨论。
This paper consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modeled as additional food provided prey-predator system with Holling Type-III functional response for predator and intra-specific competition among predators. We firstly discuss the optimal control problem as a Lagrangian problem with a linear quadratic control. Secondly we consider an optimal control problem in the time-optimal control setting. Stochastic maximum principle is used for establishing the existence of optimal controls for both these problems. Numerical simulations are performed based on stochastic forward-backward sweep methods for realizing the theoretical findings. The results obtained in these optimal control problems are discussed in the context of biological conservation and pest management.
