Necessary Optimality Conditions for a Lotka-Volterra Three Species System
Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 120-132
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An optimal control problem is studied for a Lotka-Volterra system of three differential equations. It models an ecosystem of three species which coexist. The species are supposed to be separated from each others. Mathematically, this is modeled with the aid of two control variables. Some necessary conditions of optimality are found in order to maximize the total number of individuals at the end of a given time interval.
@article{10_1051_mmnp:2006007,
author = {N. C. Apreutesei},
title = {Necessary {Optimality} {Conditions} for a {Lotka-Volterra} {Three} {Species} {System}},
journal = {Mathematical modelling of natural phenomena},
pages = {120--132},
publisher = {mathdoc},
volume = {1},
number = {1},
year = {2006},
doi = {10.1051/mmnp:2006007},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006007/}
}
TY - JOUR AU - N. C. Apreutesei TI - Necessary Optimality Conditions for a Lotka-Volterra Three Species System JO - Mathematical modelling of natural phenomena PY - 2006 SP - 120 EP - 132 VL - 1 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006007/ DO - 10.1051/mmnp:2006007 LA - en ID - 10_1051_mmnp:2006007 ER -
%0 Journal Article %A N. C. Apreutesei %T Necessary Optimality Conditions for a Lotka-Volterra Three Species System %J Mathematical modelling of natural phenomena %D 2006 %P 120-132 %V 1 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.1051/mmnp:2006007/ %R 10.1051/mmnp:2006007 %G en %F 10_1051_mmnp:2006007
N. C. Apreutesei. Necessary Optimality Conditions for a Lotka-Volterra Three Species System. Mathematical modelling of natural phenomena, Tome 1 (2006) no. 1, pp. 120-132. doi: 10.1051/mmnp:2006007
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