DocumentCode
1743842
Title
A stability analysis based on economic principles for the control of the cotton aphid
Author
Martin, Clyde ; Martin, Robert
Author_Institution
Dept. of Math., Texas Tech. Univ., Lubbock, TX, USA
Volume
1
fYear
2000
fDate
2000
Firstpage
490
Abstract
The cotton aphid is an important pest insect affecting the profitability of cotton production in the Southwestern USA. In this paper, we study the problem of the optimal timing of pesticide application to control the aphid. The problem is complicated by the presence of a significant predator insect. The predator serves as a natural control of the aphid and is adversely affected by application of pesticide. We determine optimal state dependent rules for application of pesticide. We show that first application of pesticide is a switching time between two dynamic systems
Keywords
agriculture; control system analysis; ecology; optimal control; stability; Southwestern USA; cotton aphid control; economic principles; optimal state dependent rules; optimal timing; pest insect; predator insect; stability analysis; Costs; Cotton; Ecosystems; Environmental economics; Insects; Mathematics; Optimal control; Spraying; Stability analysis; Timing;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location
Sydney, NSW
ISSN
0191-2216
Print_ISBN
0-7803-6638-7
Type
conf
DOI
10.1109/CDC.2000.912813
Filename
912813
Link To Document