Open AccessNecessary optimality conditions for predator-prey system with a hunter population
Author(s) -
Narcisa Apreutesei
Publication year - 2010
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2010.30.4.389
Subject(s) - mathematics , predation , predator , population , mathematical economics , mathematical optimization , ecology , biology , demography , sociology
An optimal control problem is studied for a predator-prey reaction-diffusion system. A hunter population is introduced in the ecosystem and it is interpreted as a control variable. One finds necessary optimality conditions in order that, in the end of a given time interval, the total density of the two populations is maximal
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