Optimal control of the Lotka-Volterra system: turnpike property and numerical simulations.
作者: Ibañez Aitziber
作者单位: 1a BCAM - Basque Center for Applied Mathematics , Bilbao , Spain.
刊名: Journal of biological dynamics, 2017, Vol.11 (1), pp.25-41
来源数据库: PubMed Journal
DOI: 10.1080/17513758.2016.1226435
关键词: 34K2849J1578A70Lotka–Volterraindirect shooting methodoptimal controlturnpike
原始语种摘要: The Lotka-Volterra model is a differential system of two coupled equations representing the interaction of two species: a prey one and a predator one. We formulate an optimal control problem adding the effect of hunting both species as the control variable. We analyse the optimal hunting problem paying special attention to the nature of the optimal state and control trajectories in long time intervals. To do that, we apply recent theoretical results on the frame to show that, when the time horizon is large enough, optimal strategies are nearly steady-state. Such path is known as turnpike property. Some experiments are performed to observe such turnpike phenomenon in the hunting problem. Based on the turnpike property, we implement a variant of the single shooting method to solve the...
全文获取路径: PubMed  (合作)

  • turnpike 收税路
  • control 控制
  • system 
  • property 所有权
  • optimal 最佳的
  • problem 题目
  • formulate 公式化
  • special 特别的
  • previous 先前的
  • implement 执行