Detection and continuation of a border collision bifurcation in a forest fire model

DOI10.1016/j.amc.2004.09.008zbMath1073.92052OpenAlexW2056832454MaRDI QIDQ2572710

Stefano Maggi, Fabio Dercole

Publication date: 4 November 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: http://pure.iiasa.ac.at/id/eprint/7758/1/IR-05-084.pdf

zbMATH Keywords

ChaosContinuationBorder collision bifurcationForest fire modelImpact model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Ecology (92D40)

Related Items (5)

A second-order impact model for forest fire regimes ⋮ Dynamic properties of a forest fire model ⋮ Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities ⋮ Hopf bifurcation analysis and anticontrol of Hopf circles of the Rössler-like system ⋮ Dynamics of a Filippov epidemic model with limited hospital beds

Uses Software

• AUTO
• HomCont

Cites Work

• Unnamed Item
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• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• BORDER COLLISION BIFURCATIONS IN THE EVOLUTION OF MUTUALISTIC INTERACTIONS
• Differential equations with discontinuous right-hand side

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