OPTIMAL CONTROL FOR PREDATOR-PREY SYSTEM WITH PREY-DEPENDENT FUNCTIONAL RESPONSE

TitleOPTIMAL CONTROL FOR PREDATOR-PREY SYSTEM WITH PREY-DEPENDENT FUNCTIONAL RESPONSE
Publication TypeJournal Article
Year of Publication2010
AuthorsAPREUTESEI N.C
JournalDynamic Systems and Applications
Volume19
Start Page537
Pagination8
Date Published2010
ISSN1056-2176
AMS Subject Classification34H05, 49K15, 92D25, 93C10, 93C15
Abstract

An optimal control problem is studied for a predator-prey system with logistic growth rate of the prey and a prey-dependent functional response of the predator. The control function has two components and signifies the rate of mixture between the individuals of the species. The form of the optimal control is determined according to Pontryagin’s maximum principle. It is bang-bang and the number of switchings points depends on the choice of some specific parameters.
PDFhttps://acadsol.eu/dsa/articles/19/37-DSA-249.pdf
Refereed DesignationRefereed