We consider an optimal control problem of a system of parabolic partial differential equations modelling the competition between an invasive and a native species. The motivating example is cottonwood-salt cedar competition. where the effect of disturbance in the system (such as flooding) is taken to be a control variable. Flooding being detrimental at low and high levels. https://parisnaturalfoodes.shop/product-category/platinum-nutri-cure-v2/