Title :
Pontryagin maximum principle for a community of several species
Author :
Apreutesei, Narcisa
Author_Institution :
Dept. of Math. & Inf., ”Gheorghe Asachi” Tech. Univ. of Iasi, Iasi, Romania
Abstract :
An optimal control problem is proposed and studied for a system of ordinary differential equations from population dynamics. The system models a general ecosystem of several species. One introduces some control variables in the system and one associates an optimal control problem. The control variables represent the mixture rates between the species. Pontryagin maximum principle is established for this problem and some particular cases are analyzed.
Keywords :
differential equations; ecology; maximum principle; Pontryagin maximum principle; general ecosystem; optimal control problem; ordinary differential equations; population dynamics; species mixture rates; Biology; Equations; Mathematical model; Optimal control; Sociology; Statistics; Switches;
Conference_Titel :
System Theory, Control and Computing (ICSTCC), 2014 18th International Conference
Conference_Location :
Sinaia
DOI :
10.1109/ICSTCC.2014.6982442
