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Realistic threshold policy with hysteresis to control predator-prey continuous dynamics
Magno Enrique Mendoza Meza1, Amit Bhaya
1Department of Electrical Engineering, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro, RJ 21945-970, Brazil. magno@coep.ufrj.br
Abstract:
This paper introduces a threshold policy with hysteresis (TPH) for the control of one-predator one-prey models. The models studied are the Lotka-Volterra and Rosenzweig-MacArthur two species density-dependent predator-prey models and the Arditi-Ginzburg nondimensional ratio-dependent model. The proposed policy (TPH) changes the dynamics of the system in such a way that a bounded oscillation is achieved confined to a region that does not allow extinction of either species. The policy can be designed by a suitable choice of so called virtual equilibrium points in a simple and intuitive manner.
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