Optimal control of invasive species through a dynamical systems approach<bold> </bold>

被引：16

作者：

Baker, Christopher M. ^{[1
,2
]}

Diele, Fasma ^{[3
]}

Lacitignola, Deborah ^{[4
]}

Marangi, Carmela ^{[3
]}

Martiradonna, Angela ^{[3
]}

机构：

[1] Univ Queensland, Sch Biol Sci, Brisbane, Qld 4072, Australia

[2] CSIRO Ecosyst Sci, Ecosci Precinct, Dutton Pk, Brisbane, Qld 4102, Australia

[3] CNR Bari, Ist Applicaz Calcolo M Picone, Via Amendola 122-D, Bari, Italy

[4] Univ Cassino & Lazio Meridionale, Dipartimento Ingn Elettr & Informaz, Via Biasio 43, I-03043 Cassino, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 49卷

基金：

欧盟地平线“2020”;

关键词：

Invasive species; Pontryagin's maximum principle; Optimal control; Dynamical systems; Boundary value Hamiltonian systems; Phase space analysis<bold>; </bold>; PREDATOR-PREY SYSTEM; MANAGEMENT; CONSERVATION; ECOSYSTEMS;

D O I：

10.1016/j.nonrwa.2019.02.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Effectively dealing with invasive species is a pervasive problem in environmental management. The damages that stem from invasive species are well known. However, controlling them cost-effectively is an ongoing challenge, and mathematical modeling and optimization are becoming increasingly popular as a tool to assist management. In this paper we investigate problems where optimal control theory has been implemented. We show that transforming these problems from state-costate systems to state-control systems provides the complete qualitative description of the optimal solution and leads to its theoretical expression for free terminal time problems. We apply these techniques to two case studies: one of feral cats in Australia, where we use logistic growth; and the other of wild-boars in Italy, where we include an Allee effect. (C) 2019 The Authors. Published by Elsevier Ltd.<bold> </bold>

引用

页码：45 / 70

页数：26

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