Title :
Optimization problem of a predator-prey system with Holling II functional response
Author_Institution :
Sch. of Math. & Stat., Northeast Normal Univ., Changchun, China
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;
Conference_Titel :
Control Conference (CCC), 2010 29th Chinese
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-6263-6
