DocumentCode
2074881
Title
Optimization problem of a predator-prey system with Holling II functional response
Author
Zeng Zhijun
Author_Institution
Sch. of Math. & Stat., Northeast Normal Univ., Changchun, China
fYear
2010
fDate
29-31 July 2010
Firstpage
5483
Lastpage
5485
Abstract
This paper deals with an optimal control problem of a predator-prey system with Holling II functional response. The model under consideration incorporates a refuge protecting (1 - u)x of the prey and leaves ux of the prey available to the predator, where u ∈ [0, 1]. By utilizing Pontryagin´s maximal principle, we study the optimal control problem regarding u as a control function.
Keywords
maximum principle; optimisation; predator-prey systems; Pontryagins maximal principle; holling II functional response; optimal control problem; optimization problem; predator-prey system; Biological system modeling; Equations; Optimal control; Optimization; Predator prey systems; Switches; Holling II functional response; Optimal control; Predator-prey; Prey-refuge;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2010 29th Chinese
Conference_Location
Beijing
Print_ISBN
978-1-4244-6263-6
Type
conf
Filename
5572193
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