Gaudet, Gérard (contributor); Moreaux, Michel (contributor) - 2006
consumption
of water by sector i is therefore kiyi. The total stock of water available at time t is X(t) ≥ 0
and the given initial … stock is X0 > 0. The stock of water is recharged by a natural inflow ¯x.
The dynamics of the water stock, after withdrawal …, is therefore given by:
˙X(t) = ¯x−kaya(t)−kmym(t). (3)
4An essential property of the net benefit function of each sector …