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
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;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912813
