A Petri Net Modeling and Simulation of Lotka-Volterra (Rabbit and Fox) System

Rabbit and fox system of Lotka and Volterra has been modelled using stochastic Petri net model. The Petri net model was verified employing P-invariance as well as T-invariance. It has been concluded that with lower number of interactions between prey and predator the variations in the population of prey as well as predators follow exponential distributions which become oscillatory at higher interaction levels. For all these computations the Gillespie method of stochastic simulation (Journal of Physical Chemistry Voi. 8 1, No. 25, 1977) was followed and a computer program in matlab was used for simulations.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-03-07
DOI
https://doi.org/10.5281/zenodo.14988683
Primary Topic
Vascular Procedures and Complications
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A Petri Net Modeling and Simulation of Lotka-Volterra (Rabbit and Fox) System

Zenodo (CERN European Organization for Nuclear Research)
Vascular Procedures and Complications
article

A Petri Net Modeling and Simulation of Lotka-Volterra (Rabbit and Fox) System

article en

Abstract

Rabbit and fox system of Lotka and Volterra has been modelled using stochastic Petri net model. The Petri net model was verified employing P-invariance as well as T-invariance. It has been concluded that with lower number of interactions between prey and predator the variations in the population of prey as well as predators follow exponential distributions which become oscillatory at higher interaction levels. For all these computations the Gillespie method of stochastic simulation (Journal of Physical Chemistry Voi. 8 1, No. 25, 1977) was followed and a computer program in matlab was used for simulations.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 38%
Vascular Procedures and Complications
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

A Petri Net Modeling and Simulation of Lotka-Volterra (Rabbit and Fox) System · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS