IFLYSIB   05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Phase Diagram of a Cyclic Predator-Prey Model with NeutralPairs Exchange
Autor/es:
NARA GUISONI; ERNESTO S. LOSCAR; MAURICIO GIRARDI
Lugar:
Barcelona
Reunión:
Conferencia; European Conference on Complex Systems (ECCS2013); 2013
Institución organizadora:
ECCS
Resumen:
In the present work we obtain the phase diagram of a fours species predator-prey lattice model by using the recently proposed Gradient Method. We consider cyclic transitions between consecutive states, representing invasion or predation, and allowed the exchange between neighboring neutral pairs. By applying a gradient in the invasion rate parameter one can see, in the same simulation, the presence of two symmetric absorbing phases, composed by neutral pairs, and an active phase that includes all four species. In this sense, the study of a Single-Valued Interface and its fluctuations give the critical point of the irreversible phase transition and the corresponding universality classes. Also, the consideration of a Multivalued Interface and its fluctuations bring the percolation threshold. We show that the model presents two lines of irreversible first-order phase transition between the two absorbing phases and the active phase. Depending on the system parameters, these lines can converge into a triple point that is the beginning of a first-order irreversible line between the two absorbing phases, or end in two critical points that belong to the directed percolation universality class. Standard simulations confirm the order of the transitions as determined by the Gradient Method. Besides, above the triple point the model presents a first-order percolation transition, as already found in other similar models.