  Invasive species have been recognized as a leading threat to biodiversity. In
particular, lakes are especially affected by species invasions because they are
closed systems sensitive to disruption. Accurately controlling the spread of
invasive species requires solving a complex spatial-dynamic optimization
problem. In this work we propose a novel framework for determining the optimal
management strategy to maximize the value of a lake system net of damages from
invasive species, including an endogenous diffusion mechanism for the spread of
invasive species through boaters' trips between lakes. The proposed method
includes a combined global iterative process which determines the optimal
number of trips to each lake in each season and the spatial-dynamic optimal
boat ramp fee.
