Geodesic
Necessary Optimality Conditions for a Lotka-Volterra Three Species System
N. C. Apreutesei1
1 Department of Mathematics, Technical University “Gh. Asachi”, 700506, Iasi, Romania
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.
DOI : 10.1051/mmnp:2006007

N. C. Apreutesei 1

1 Department of Mathematics, Technical University “Gh. Asachi”, 700506, Iasi, Romania 
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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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