TY - GEN
T1 - Stability problem for a predator-prey system
AU - Retchkiman Konigsberg, Zvi
PY - 2010
Y1 - 2010
N2 - This paper considers the growth rate dynamics of a predator-prey system as a discrete event dynamical system. Timed Petri nets are a graphical and mathematical modeling tool applicable to discrete event systems in order to represent its states evolution. Lyapunov stability theory provides the required tools needed to aboard the stability problem for the predator-prey system treated as a discrete event system modeled with timed petri nets. By proving boundedness one confirms a dominant oscillating behavior of both populations dynamics performance. However, the oscillating frequency results to be unknown. This inconvenience is overcome by considering a specific recurrence equation, in the max-plus algebra.
AB - This paper considers the growth rate dynamics of a predator-prey system as a discrete event dynamical system. Timed Petri nets are a graphical and mathematical modeling tool applicable to discrete event systems in order to represent its states evolution. Lyapunov stability theory provides the required tools needed to aboard the stability problem for the predator-prey system treated as a discrete event system modeled with timed petri nets. By proving boundedness one confirms a dominant oscillating behavior of both populations dynamics performance. However, the oscillating frequency results to be unknown. This inconvenience is overcome by considering a specific recurrence equation, in the max-plus algebra.
KW - Discrete Event Dynamical Systems
KW - Lyapunov Method
KW - Max-Plus Algebra
KW - Predator-Prey System
KW - Timed Petri Nets
UR - http://www.scopus.com/inward/record.url?scp=77954641939&partnerID=8YFLogxK
U2 - 10.1007/978-3-642-13495-1_1
DO - 10.1007/978-3-642-13495-1_1
M3 - Contribución a la conferencia
SN - 3642134947
SN - 9783642134944
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 1
EP - 10
BT - Advances in Swarm Intelligence - First International Conference, ICSI 2010, Proceedings
T2 - 1st International Conference on Advances in Swarm Intelligence, ICSI 2010
Y2 - 12 June 2010 through 15 June 2010
ER -