Realistic threshold policy with hysteresis to control predator-prey continuous dynamics.
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.
Mendoza Meza
Magno Enrique
ME
Department of Electrical Engineering, COPPE, Federal University of Rio de Janeiro, Rio de Janeiro, RJ 21945-970, Brazil. magno@coep.ufrj.br
Bhaya
Amit
A
D000818:Animals; D017753:Ecosystem; D008954:Models, Biological; D011156:Population Density; D011157:Population Dynamics; D011235:Predatory Behavior