TY - JOUR
T1 - Analyzing the spatial dynamics of a prey-predator lattice model with social behavior
AU - Molina, Mario Martínez
AU - Moreno-Armendáriz, Marco A.
AU - Carlos Seck Tuoh Mora, Juan
N1 - Publisher Copyright:
© 2015 Elsevier B.V.
PY - 2015/6/1
Y1 - 2015/6/1
N2 - A lattice prey-predator model is studied. Transition rules applied sequentially describe processes such as reproduction, predation, and death of predators. The movement of predators is governed by a local particle swarm optimization algorithm, which causes the formation of swarms of predators that propagate through the lattice. Starting with a single predator in a lattice fully covered by preys, we observe a wavefront of predators invading the zones dominated by preys; subsequent fronts arise during the transient phase, where a monotonic approach to a fixed point is present. After the transient phase the system enters an oscillatory regime, where the amplitude of oscillations appears to be bounded but is difficult to predict. We observe qualitative similar behavior even for larger lattices. An empirical approach is used to determine the effects of the movement of predators on the temporal dynamics of the system. Our results show that the algorithm used to model the movement of predators increases the proficiency of predators.
AB - A lattice prey-predator model is studied. Transition rules applied sequentially describe processes such as reproduction, predation, and death of predators. The movement of predators is governed by a local particle swarm optimization algorithm, which causes the formation of swarms of predators that propagate through the lattice. Starting with a single predator in a lattice fully covered by preys, we observe a wavefront of predators invading the zones dominated by preys; subsequent fronts arise during the transient phase, where a monotonic approach to a fixed point is present. After the transient phase the system enters an oscillatory regime, where the amplitude of oscillations appears to be bounded but is difficult to predict. We observe qualitative similar behavior even for larger lattices. An empirical approach is used to determine the effects of the movement of predators on the temporal dynamics of the system. Our results show that the algorithm used to model the movement of predators increases the proficiency of predators.
KW - Lattice model
KW - Oscillatory behavior
KW - Particle swarm optimization
KW - Prey-predator
KW - Scaling
UR - http://www.scopus.com/inward/record.url?scp=84941557471&partnerID=8YFLogxK
U2 - 10.1016/j.ecocom.2015.03.001
DO - 10.1016/j.ecocom.2015.03.001
M3 - Artículo
SN - 1476-945X
VL - 22
SP - 192
EP - 202
JO - Ecological Complexity
JF - Ecological Complexity
ER -