On the optimal control of invasive plant species with Logistic spread

摘要：

Theoretical model involving both Logistic spread and control of the invasive plant, allowing for a finite time period is established. An objective functional is constructed and the optimal control strategy is obtained by Pontryagin maximum principle. Numerical simulations are given to show the influence of the spread ratio, carrying capacity, initial area of the invasive plants, the cost of control per unit area on the control measures.

关键词： Biological invasion Discrete time model Control strategy Pontryagin maximum principle

作者: Chunqing Wu Jing-an Cui

作者单位: School of Mathematics and Physics,Changzhou University,Changzhou,213164, P.R. China School of Science,Beijing Institute of Civil Engineering & Architecture,Beijing, 100044, P.R. China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 923-928

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）