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Journal > IPTEK The Journal for Technology and Science > Lyapunov-Max-Plus-Algebra Stability in Predator-prey Systems Modeled with Timed Petri Net

 

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IPTEK The Journal for Technology and Science
Vol 22, No 3 (2011)
Lyapunov-Max-Plus-Algebra Stability in Predator-prey Systems Modeled with Timed Petri Net
Article Info   ABSTRACT
Published date:
03 Aug 2011
 
In this paper, we discuss the notion of max-plus algebra and their properties. We also construct a model of predator-prey systems with timed Petri net and analyze the stabilization of the systems. Furthermore, we analyze the periodic behavior of the systems. Using the Lyapunov stability theory, we will obtain the sufficient condition for the stabilization problem and the periodic duration of the oscillation will be also determined.
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