This paper investigates the response of two competing species to a given resource using optimal control techniques. We explore the choices of directed movement through controlling the advective coefficients in a system of parabolic partial differential equations. The objective is to maximize the abundance represented by a weighted combination of the two populations while minimizing the 'risk' costs caused by the movements.
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Figure 3.
One population only: Population dynamics and optimal control for
Figure 4.
One population only: Population dynamics and optimal control for
Figure 8.
Two populations with competition: Population dynamics and optimal control with a smaller IC as in Figure 2c and the resource function
Figure 9.
Two populations with competition: Population dynamics and optimal control with a smaller IC as in Figure 2c and the resource function
Figure 10.
Two populations with different competition rates: Population dynamics and optimal control with a smaller IC as in Figure 2a and the resource function
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