Abstract
The project consider a model for a pasture-livestock system described in the article " The effect of climate variations on the dynamics of pasture-livestock interactions under cooperative and noncooperative management(Brekke, Øksendal, Stenseth, 2007). The optimization problem in the article is modified to a problem where we optimize by controlled outphasing. We consider the deterministic case, and use key results from optimal control theory to describe a solution of the problem.